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BEGIN:VEVENT
SUMMARY:Partial integrability: from three body to many body
DTSTART;VALUE=DATE-TIME:20230704T093000Z
DTEND;VALUE=DATE-TIME:20230704T100000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-976@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Zhao ZHANG (SISSA)\nNovel paradigms of ergodicity br
eaking have been mushrooming in recent years\, most notably in the form of
quantum many-body scars. Here I present yet another mechanism of weak erg
odicity breaking\, in a partially integrable spin chain. Breakdown of inte
grability in the generic subspaces is manifested with the violation of the
Yang-Baxter equation for scattering matrices\, but we were nevertheless a
ble to construct antisymmetric and symmetric basis that reveal integrable
excited states in the framework of coordinate Bethe Ansatz. These Bethe st
ates in disguise distinguish themselves dynamically from the previously kn
own partial integrability due to Hilbert space fragmentation\, as initial
states can overlap with both integrable eigenstates and ETH satisfying cha
otic ones which leads to slow thermalization.\n\nhttps://konferenz.uni-han
nover.de/event/78/contributions/976/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/976/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sigma-models as Gross-Neveu models
DTSTART;VALUE=DATE-TIME:20230705T070000Z
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UID:indico-contribution-78-1001@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Viacheslav KRIVOROL (Institute of Theoretical and Ma
thematical Physics and Steklov Mathematical Institute\, Moscow)\nWe consid
er the reformulation the sigma-models as a generalized Gross-Neveu models.
In fact\, this representation crucially simplifies the analisys of quantu
m aspects of sigma-models. We show\, as simplest application\, that in thi
s formulation the derivation of the $\\beta$-function of the sigma-models
reduces to ordinary calculation of Feynman diagrams (as in $\\phi^4$ model
)\, while in the usual formulation one need more complicated tools (backgr
ound field method\, for example). We construct the Gross-Neveu representat
ion for the sigma models\, which target spaces are $\\mathbb{CP}^n$ and Gr
assmannians (include orthogonal and symplectic one). We also consider the
connection of this representation with algebraic and complex geometry\, th
eory of nilpotent orbits and integrability (potentially\, on Riemann surfa
ces).\n\nhttps://konferenz.uni-hannover.de/event/78/contributions/1001/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1001/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Welcome Adress
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UID:indico-contribution-78-1003@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Sascha GEHRMANN ()\, Rebekka KOCH (UvA)\nFormal begi
n of workshop. Introduction to the venue\, schedule and giving other impor
tant information.\n\nhttps://konferenz.uni-hannover.de/event/78/contributi
ons/1003/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1003/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Finite temperature spin diffusion in the Hubbard model in the stro
ng coupling limit
DTSTART;VALUE=DATE-TIME:20230703T080000Z
DTEND;VALUE=DATE-TIME:20230703T083000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-981@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Arthur HUTSALYUK (Eötvös Loránd University (ELTE)
)\nWe investigate finite temperature spin transport in one spatial dimensi
on by considering the spin-spin correlation function of the Hubbard model
in the limiting case of infinitely strong repulsion. We find that in the a
bsence of bias the transport is diffusive\, and derive the spin diffusion
constant. Our approach is based on asymptotic analysis of a Fredholm deter
minant representation\, which is entirely analytic and free of phenomenolo
gical assumptions of Generalized Hydrodynamics.\n\nhttps://konferenz.uni-h
annover.de/event/78/contributions/981/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/981/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Factorization of density matrices in the critical RSOS models
DTSTART;VALUE=DATE-TIME:20230704T073000Z
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UID:indico-contribution-78-996@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Daniel WESTERFELD ()\nWe study reduced density matri
ces of the integrable critical RSOS\nmodel in a particular topological sec
tor containing the ground state.\nSimilar as in the spin-$1/2$ Heisenberg
model correlation functions of this model on\nshort segments can be `facto
rized': they are completely determined by\na single nearest-neighbour two-
point function $\\omega$ capturing the\ndependence on the system size and
the state of the system and a set of\nstructure functions. The latter can
be expressed in terms of the\npossible operators on the segment\, in the
present case representations\nof the Temperley-Lieb algebra $\\text{TL}_n$
\, and are independent of the model\nparameters. We present explicit resul
ts for the function $\\omega$ in\nthe infinite system ground state of the
model and compute multi-point\nlocal height probabilities for up to four a
djacent sites for the RSOS\nmodel and the related three-point correlation
functions of non-Abelian\n$su(2)_k$ anyons.\n\nhttps://konferenz.uni-hanno
ver.de/event/78/contributions/996/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/996/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Entanglement Hamiltonian in the Domain Wall melting
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UID:indico-contribution-78-978@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Federico ROTTOLI (SISSA)\nThe domain wall melting of
fer a paradigmatic example of an out-of-equilibrium problem. In the past y
ears the application of many techniques has made possible to investigate t
he entanglement properties of this problem\, by allowing the computation o
f the entanglement entropies. In this work we move forward\, by deriving t
he Entanglement Hamiltonian (the logarithm of the reduced density matrix)
in the melting of a domain wall in the free Fermi chain. With respect to o
ther measures of entanglement\, the Entanglement Hamiltonian offer a more
complete\, operatorial characterisation. We conduct an exact numerical stu
dy on the lattice\, showing how to recover the field theoretical predictio
n with the use of a careful limiting procedure.\n\nhttps://konferenz.uni-h
annover.de/event/78/contributions/978/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/978/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bethe bound states and spin transport
DTSTART;VALUE=DATE-TIME:20230704T123000Z
DTEND;VALUE=DATE-TIME:20230704T130000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-982@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Andrew URILYON (URICHUK) (CY Cergy Paris University)
\nSpin transport in the paramagnetic XXZ model exhibits simultaneous balli
stic and diffusive transport at all non-zero temperatures\, which stems fr
om the partial conservation of the local spin current. At T=0 the absence
of Bethe bounds states\, or strings\, yields purely ballistic spin transpo
rt\, however investigations at non-zero temperatures suggest that the Beth
e strings play a key role. High temperature properties of the non-linear s
pin transport further supports this idea that the bound states must be und
erstood to account for non-zero temperature transport. This raises many qu
estions about what form a low temperature field theoretical description sh
ould take\, since standard non-linear Luttinger liquid methods predict a b
allistic transport temperature scaling inconsistent with the BA results. T
his presentation aims to collate different methods and by comparing them s
uggest future directions for investigation of both ballistic and diffusive
transport at all temperature regimes in the XXZ model.\n\nhttps://konfere
nz.uni-hannover.de/event/78/contributions/982/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/982/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Generalized hydrodynamics approach to impurities in integrable m
odels: Mesoscopic impurities
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DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-987@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Friedrich HUEBNER (King's College London)\nIt is wel
l established that the large-scale behaviour of integrable models is captu
red by Generalized Hydrodynamics (GHD). Inserting an impurity into an inte
grable model typically breaks integrability and therefore its effect is ha
rd to analyse analytically. In this talk I will first briefly introduce a
GHD viewpoint on impurities: An impurity is given by a boundary condition
in the GHD equation\, which relates the ingoing and outgoing currents at t
he position of the impurity.\nUnfortunately\, deriving this GHD boundary c
ondition for a specific microscopic impurity requires a full solution of t
he microscopic impurity and is therefore analytically not possible in gene
ral. In the second part of my talk I will focus on impurities whose spatia
l size $L_{\\mathrm{impurity}}$ is mesoscopic $L_{\\mathrm{micro}} \\ll L_
{\\mathrm{impurity}} \\ll L_{\\mathrm{system}}$\, which is an approximatio
n for large impurities. The large size of the impurity allows to still ass
ume the usual requirements for GHD\, like local equilibrium\, also at the
impurity. This means that the impurity can be fully described using the GH
D framework. I will show that the impurity problem reduces to solving the
stationary GHD equation and discuss the physical consequences of the appro
ximation. Furthermore\, I will explain a general strategy to approach the
stationary GHD equation that\, in simple cases\, allows to find full analy
tical solutions to the scattering problem.\n\nhttps://konferenz.uni-hannov
er.de/event/78/contributions/987/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/987/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Current mean values in the XYZ model
DTSTART;VALUE=DATE-TIME:20230703T123000Z
DTEND;VALUE=DATE-TIME:20230703T130000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-991@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Levente PRISTYÁK ()\nThe theory of Generalized Hydr
odynamics (GHD) was introduced in order to describe the non-equilibrium tr
ansport properties of integrable quantum systems. It builds on the (infini
tely many) continuity equations\, that can be written for the conserved qu
antities present in these systems. Even though GHD itself does not rely on
particle conservation on a fundamental level\, all previous works treated
U(1) symmetric models. Therefore\, it would be interesting to work out th
e theory for models lacking U(1) symmetry. As a first step in this directi
on\, in my talk I consider the mean values of the current operators in the
spin-1/2 XYZ chain. Using a generalized Algebraic Bethe Ansatz and the al
gebraic construction of the current operators\, I derive an exact formula
for these current mean values in finite size\, with a functionally identic
al form to that of the earlier results for the XXZ chains. The talk is bas
ed on the paper arXiv:2211.00698.\n\nhttps://konferenz.uni-hannover.de/eve
nt/78/contributions/991/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/991/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hydrodynamics and fluctuations in integrable and quasi integrable
systems
DTSTART;VALUE=DATE-TIME:20230703T100000Z
DTEND;VALUE=DATE-TIME:20230703T110000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1004@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Jacopo DE NARDIS (CYU)\nhttps://konferenz.uni-hannov
er.de/event/78/contributions/1004/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1004/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Symmetry resolution of entanglement measures in excited states of
(1+1)dimensional massive integrable quantum field theories
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DTEND;VALUE=DATE-TIME:20230705T103000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-992@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Michele MAZZONI (City University of London)\nIn this
talk I will present the results obtained with my supervisor Dr. Olalla Ca
stro-Alvaredo and other collaborators on the symmetry resolution of entang
lement measures in excited states of (1+1)d massive integrable quantum fie
ld theory (IQFT). This work generalises the results known to hold for exc
ited states of massive IQFT with no internal symmetry to the case in which
the theory enjoys a U(1) symmetry and the entanglement entropy (EE) admit
s a charge decomposition. Specifically\, we looked at a complex free boson
and a complex free fermion on a circle. The results are obtained through
a field-theoretic approach that makes use of a "replica trick" and genera
lised twist fields. Becuse of the universality features of our formulae\,
we found that these can be derived also in a much simpler setup\, in which
the excitations are multi-qubit states. Our theoretical predictions perfe
ctly matches the numerical analysis performed on two different lattice Ha
miltonians. Finally\, I will briefly present some further generalisations
of this work to higher dimensional theories\, interacting/non integrable t
heories and to other entanglement measures.\n\nhttps://konferenz.uni-hanno
ver.de/event/78/contributions/992/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/992/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Long range interacting models and integrability
DTSTART;VALUE=DATE-TIME:20230704T100000Z
DTEND;VALUE=DATE-TIME:20230704T110000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1005@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Didina SERBAN ()\nhttps://konferenz.uni-hannover.de/
event/78/contributions/1005/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1005/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A large family of IRF solvable lattice models based on WZW models
DTSTART;VALUE=DATE-TIME:20230704T080000Z
DTEND;VALUE=DATE-TIME:20230704T083000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-980@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Juan RAMOS CABEZAS (Ariel University)\nIn this talk\
, we will discuss a large class of Interaction-Round-a-Face (IRF) solvable
lattice models that are based on the symmetry algebras of WZW models\, na
mely\, the affine Lie algebras $\\hat{\\mathfrak{su}}(n)$\, $\\hat{\\mathf
rak{ so}}(2n+1)$\, $\\hat{\\mathfrak{sp}}(n)$\, $\\hat{\\mathfrak{so}}(2n)
$\, and $\\hat{G}_2$ (studied by Jimbo et al.\, and Kuniba\, respectively)
. We have derived a general formula for the so-called crossing multipliers
of these models and have shown (in a published paper)\, that these crossi
ng multipliers can be expressed using the principally specialized characte
rs of the algebras in question. Based on this result\, we will argue that
the crossing multipliers in a large class of solvable IRF lattice models c
an be obtained from the characters of the conformal field theory on which
they are based and will discuss the relevance of this idea in the computat
ion of the Local State Probabilities. We will also explain the generalizat
ion (this is part of a work in progress) of these models to certain quotie
nts of the original groups. In particular\, we will talk about the $SU(3)/
\\mathbb{Z}_3$ quotient.\n\nhttps://konferenz.uni-hannover.de/event/78/con
tributions/980/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/980/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wilson lines construction of sl3 toroidal conformal blocks
DTSTART;VALUE=DATE-TIME:20230705T073000Z
DTEND;VALUE=DATE-TIME:20230705T080000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-983@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Pietro OREGLIA (Ariel University)\nWe study $\\mathc
al{W}_3$ toroidal conformal blocks for degenerate primary fields in AdS/CF
T context. \nIn the large central charge limit $\\mathcal{W}_3$ algebra re
duces to $\\mathfrak{sl}_3$ algebra and $\\mathfrak{sl}_3$ blocks are defi
ned as contributions to $\\mathcal{W}_3$ blocks coming from the generators
of $\\mathfrak{sl}_3$ subalgebra. \nWe consider the construction of $\\ma
thfrak{sl}_3$ \ntoroidal blocks in terms of Wilson lines operators of $3d$
Chern-Simons gravity in the thermal AdS$_3$ space-time. According to the
correspondence\, \ndegenerate primary fields are associated with Wilson li
nes operators acting in the corresponding finite-dimensional $\\mathfrak{s
l}_3$ representations. We verify \nthis dual construction \nfor one-point
toroidal block using\n $\\mathfrak{sl}_3$ tensor technique in the bulk th
eory and an algorithm based on AGT correspondence in the boundary CFT.\n\n
https://konferenz.uni-hannover.de/event/78/contributions/983/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/983/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Temporal Entanglement in Chaotic Quantum Circuits
DTSTART;VALUE=DATE-TIME:20230705T103000Z
DTEND;VALUE=DATE-TIME:20230705T110000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-986@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Alessandro FOLIGNO (University of Nottingham)\nThe c
oncept of space-evolution (or space-time duality) has emerged as a promisi
ng approach for studying quantum dynamics. The basic idea involves exchang
ing the roles of space and time and evolving the system using a space tran
sfer matrix whose fixed points\, also known as influence matrices\, descri
be the interaction of the rest of the system acting as a bath on a subsyst
em. To evaluate the potential of this method as a numerical scheme\, it is
important to understand whether the influence matrices can be efficiently
encoded in a classical computer. It is then natural to wonder what is the
scaling of their entanglement\, dubbed temporal entanglement\, as a funct
ion of time. In this talk\, I am going to present these ideas\, and show h
ow they can be applied for the calculation of generic two points correlati
on functions. Moreover\, the Renyi entropies of these fixed points have a
different qualitative behavior than the Von Neumann\, which can be charact
erized exactly in some marginal cases\, similarly to what has been observe
d for regular entanglement in systems with conservation laws.\nThis talk i
s based on the following paper: arXiv:2302.08502\n\nhttps://konferenz.uni-
hannover.de/event/78/contributions/986/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/986/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yang-Baxter deformations of the flat space string
DTSTART;VALUE=DATE-TIME:20230706T103000Z
DTEND;VALUE=DATE-TIME:20230706T110000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-988@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Khalil IDIAB (HU Berlin)\nThe study of symmetric spa
ce sigma models and their integrable Yang-Baxter deformations in the conte
xt of the AdS/CFT correspondence has led to many important results. Howeve
r\, the quantization of these models remains a challenging problem. To gai
n new insights into the quantum structure of these models\, we propose to
study Yang-Baxter deformations of the flat space string. The advantage of
flat space is that it allows us to perform certain calculations explicitly
\, which can serve as a check to some of the known theory.\nIn this talk\,
we will present our approach to extending Yang-Baxter deformations to fla
t space and we will demonstrate an explicit check of some known results.\n
\nhttps://konferenz.uni-hannover.de/event/78/contributions/988/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/988/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The classical sine-Gordon model and its hydrodynamics
DTSTART;VALUE=DATE-TIME:20230703T093000Z
DTEND;VALUE=DATE-TIME:20230703T100000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-989@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Alvise BASTIANELLO (Technical University of Munich)\
nThe sine-Gordon field theory is a paradigmatic integrable model that show
s up in the most diverse contexts\, emerging as the low-energy description
of a wealth of systems. Depending on the experimental platform\, the sine
-Gordon realization may be close to its classical limit: this is the case\
, for example\, in the interference pattern of two weakly-coupled quasicon
densates\, as it is realized in Vienna. This observation motivates us in s
tudying the classical model.\nIn this talk\, I will present the thermodyna
mics and generalized hydrodynamics of the classical sine-Gordon field theo
ry. In the stream of the talk\, I will touch several points: I will discus
s why previous works based on soliton-gas picture failed to correctly capt
ure the sine-Gordon's thermodynamics\, I will show how to obtain the corre
ct result by taking the semiclassical limit of the quantum model\, and bui
ld its generalized hydrodynamics. If time permits\, I will use this toolbo
x to discuss experimentally-motivated setups.\n\nhttps://konferenz.uni-han
nover.de/event/78/contributions/989/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/989/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matrix Product Symmetries and Breakdown of Thermalization
DTSTART;VALUE=DATE-TIME:20230703T073000Z
DTEND;VALUE=DATE-TIME:20230703T080000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-990@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Márton BORSI (Eötvös Loránd University\, Budapes
t)\nThe presence of unconventional symmetries in quantum systems can resul
t in ergodicity breaking and the prevention of the usual thermalization pr
ocess. One example is the class of Hilbert space fragmented models which p
ossess an exponentially growing number of kinematically disconnected secto
rs in the Hilbert space. The phenomenon originates from a symmetry algebra
of similarly increasing dimension and can be present in both integrable a
nd non-integrable systems.\nIn my talk I introduce a mechanism for Hilbert
space fragmentation: I present spin chains constructed by hard rod deform
ation that possess a non-commutative symmetry algebra given by Matrix Prod
uct Operators (MPO). As a result\, persistent oscillations appear in non-e
quilibrium situations. Extra symmetries in integrable models are commonly
described by MPOs\, but in our work we also find non-integrable examples\,
thus providing a new way of ergodicity breaking.\n\nhttps://konferenz.uni
-hannover.de/event/78/contributions/990/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/990/
END:VEVENT
BEGIN:VEVENT
SUMMARY:GUE-corners process in the Aztec diamond
DTSTART;VALUE=DATE-TIME:20230703T130000Z
DTEND;VALUE=DATE-TIME:20230703T133000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-993@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Nicolas ROBERT (UCLouvain)\nRandom tiling problems\,
or perfect matchings\, constitute a certain class of exactly solvable mod
els studied by both mathematicians and mathematical-physicists since the 2
0-th century. These models can be viewed as a playground where some univer
sal behaviours take place\, and they are particularly interesting as much
for their links with other statistical models as for their rich mathematic
al structure.\nIn this presentation\, I will speak about the Aztec diamond
model which exhibits an arctic phenomenon (i.e. spatially separated regio
ns with different behaviours) similar to what happens in the 6-vertex mode
l with domain-wall boundary conditions. More specifically\, I will focus o
n a specific determinantal point process occurring in this model and show
its quite surprising link with the GUE-corners distribution coming from th
e Random Matrix Theory.\n\nhttps://konferenz.uni-hannover.de/event/78/cont
ributions/993/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/993/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The spin-1 XYZ chain and related vertex models
DTSTART;VALUE=DATE-TIME:20230704T070000Z
DTEND;VALUE=DATE-TIME:20230704T073000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-994@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Sandrine BRASSEUR (UCLouvain)\nIn this talk\, we are
interested in an integrable spin-1 XYZ chain with twisted boundary condit
ions. We show that the XYZ Hamiltonian possesses the remarkably simple eig
envalue E=0. In some regime\, it is conjectured to be the ground-state eig
envalue. Moreover\, we express a sum rule involving the zero-energy states
in terms of special polynomials. These polynomials have connections to ot
her problems in integrable systems and enumerative combinatorics. To obtai
n our results\, we follow an idea of Baxter's\, and consider a related eig
hteen-vertex SOS model. There\, computations are performed using Sklyanin'
s quantum Separation of Variables. This talk is based on joint work with C
hristian Hagendorf.\n\nhttps://konferenz.uni-hannover.de/event/78/contribu
tions/994/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/994/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Inelastic decay from integrability
DTSTART;VALUE=DATE-TIME:20230704T130000Z
DTEND;VALUE=DATE-TIME:20230704T133000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-979@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Amir BURSHTEIN ()\nA hallmark of integrable systems
is the purely elastic scattering of their excitations. Such systems posses
an extensive number of local conserved charges\, leading to the conservat
ion of the number of scattered excitations\, as well as their set of indiv
idual momenta. In this talk\, I will show that inelastic decay can neverth
eless be observed in circuit QED realizations of integrable boundary model
s. I will consider scattering of microwave photons off impurities in super
conducting circuits implementing the boundary sine-Gordon and Kondo models
\, which are both integrable. I will show that not only inelastic decay is
possible for the microwave photons\, in spite of integrability\, and than
ks to a nonlinear relation between them and the ellastically-scattered exc
itations\, but also that integrability in fact provides strong analytical
tools allowing to obtain exact expressions for response functions describi
ng the inelastic decay\, using the framework of form factors. I will show
how one may obtain not only the total inelastic decay rate of the microwav
e photons\, extracted from a 2-point response function\, but also go beyon
d linear response and obtain the energy-resolved inelastic decay spectrum\
, using a novel method to evaluate form factor expansions of 3-point respo
nse functions which could prove useful in other applications of integrable
quantum field theories. Our results compare quantitatively well with meas
urements from the Manucharyan group\, and are instrumental in shedding lig
ht on experimental data that provide evidence for the elusive Schmid-Bulga
daev dissipative quantum phase transition.\n\nhttps://konferenz.uni-hannov
er.de/event/78/contributions/979/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/979/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The analytic structure of non-perturbative corrections in integrab
le field theories
DTSTART;VALUE=DATE-TIME:20230705T080000Z
DTEND;VALUE=DATE-TIME:20230705T083000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-985@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Istvan VONA (Wigner RCP\, ELTE University)\nSeveral
one-dimensional models (both relativistic and\nnon-relativistic) can be so
lved - at least numerically - by a linear\,\nthermodynamic Bethe ansatz-li
ke integral equation in specific\nsettings. Excellent examples are the non
linear sigma models in an\nexternal field coupled to a conserved charge or
the\nLieb-Liniger/Gaudin-Yang models for different couplings. In these\ns
cenarios\, it is possible to perturbatively expand the physical\nquantitie
s (e.g.\, the energy density of the particles) in some\nspecific parameter
up to very high orders by using the integral\nequation. This expansion is
an asymptotic series that contains lots of\nhidden analytic information o
n the exact result. In some cases\, this\ninformation is complete\, and it
is possible to reconstruct the exact\nresult from the perturbative series
only using resummation techniques.\nThat typically means summing up an in
finite number of exponentially\nsuppressed non-perturbative corrections ac
cessible from the\nperturbative data by resurgence theory. In other cases\
, there is a\nmismatch between the exact result and the abovementioned pro
cedure\,\nwhich can be explained by a careful analysis of the integral equ
ation\nin Fourier space. One can find the missing family of exponential\nc
orrections as well\, acquiring a complete understanding of the\nanalytical
structure of the physical quantity in terms of the\nexpansion variable\,
at least from the mathematical point of view. The\naim of the talk is a br
ief summary of this method based on\narXiv:2212.09416.\n\nhttps://konferen
z.uni-hannover.de/event/78/contributions/985/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/985/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Entanglement evolution after a global quench across a conformal de
fect
DTSTART;VALUE=DATE-TIME:20230705T093000Z
DTEND;VALUE=DATE-TIME:20230705T100000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-984@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Luca CAPIZZI ()\nWe consider the dynamics of a one-d
imensional quantum system in the presence of a localized defect. We prepar
e the system in a short-range entangled state\, we let it evolve ballistic
ally\, and we study the entanglement across the defect. Linear growth of
the entanglement entropy is observed\, whose slope depends both on the sca
ttering properties of the defect and the initial state. The protocol above
is characterized by Conformal Field Theory\, and the Rényi entropies are
related to the correlation functions of twist fields in a bounded two-dim
ensional geometry. Moreover\, we investigate a particular lattice realizat
ion in a free-fermion chain\, giving a prediction for the linear slope via
a quasi-particle picture.\n\nhttps://konferenz.uni-hannover.de/event/78/c
ontributions/984/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/984/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamical universality of charged single-file systems and integrab
le spin chains
DTSTART;VALUE=DATE-TIME:20230706T073000Z
DTEND;VALUE=DATE-TIME:20230706T080000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-998@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Žiga KRAJNIK (University of Ljubljana)\nWe introduc
e and discuss dynamical universality of charge fluctuations in charged sin
gle-file systems. The full counting statistics of such systems out of equi
librium generically undergoes first and second order dynamical phase trans
itions\, while equilibrium typical fluctuations are given by a universal n
on-Gaussian distribution. Similar phenomenology of dynamical criticality i
s observed in equilibrium in the easy axis and isotropic regimes of an int
egrable spin chain. While the easy axis regime does not satisfy a single-f
ile kinetic constraint\, it nevertheless supports the non-Gaussian distrib
ution of the charged single-file universality class. Fluctuations at the i
sotropic point are also anomalous and distinct from those of the Kardar-Pa
risi-Zhang universality class.\n\nhttps://konferenz.uni-hannover.de/event/
78/contributions/998/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/998/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The arctic curve of the four-vertex model
DTSTART;VALUE=DATE-TIME:20230703T140000Z
DTEND;VALUE=DATE-TIME:20230703T143000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-999@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Andrea MARONCELLI (University of Florence)\nWe consi
der the four-vertex model\, which is a special case of the six-vertex mode
l in which two vertices are set to zero. Under specific choices of fixed b
oundary conditions\, this model exhibits spatial phase separation\, betwee
n frozen and disordered regions\, sharply separated by a smooth curve\, kn
own as arctic curve. The most interesting aspect of the four-vertex model
is that\, even though it is interacting\, it is still exactly solvable in
a relatively simple way. Here we use the Tangent Method\, which is an exac
t\, although heuristic method\, to compute the arctic curve.\n\nhttps://ko
nferenz.uni-hannover.de/event/78/contributions/999/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/999/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Relaxation dynamics in Integrable Field Theories
DTSTART;VALUE=DATE-TIME:20230706T080000Z
DTEND;VALUE=DATE-TIME:20230706T083000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1000@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Emanuele DI SALVO (Utrecht University)\nOut of equil
ibrium dynamics of integrable systems have been intensively studied in the
past 20 years. However\, a full characterisation of time evolution of an
integrable field theory after a quantum quench is still missing. We invest
igate many processes occurring during relaxation towards a steady state an
d describe them in terms of analytical properties of form factors of opera
tors in the post-quench theory. As an example\, results for thermal Ising\
, Sinh-Gordon and Yang-Lee field theories are shown. We extend this approa
ch to non-relativistic theories by mapping them via out-of-equilibrium no
n-relativistic limit.\n\nhttps://konferenz.uni-hannover.de/event/78/contri
butions/1000/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1000/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Integrable supersymmetric quantum circuit
DTSTART;VALUE=DATE-TIME:20230705T123000Z
DTEND;VALUE=DATE-TIME:20230705T130000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1039@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Pietro RICHELLI (University of Amsterdam)\nThe Floqu
et Baxterization was introduced as a bridge between quantum integrable mod
els and quantum circuits. In this work we revisit the Floquet Baxterizatio
n extending it to graded $\\mathbf{R}$ matrices\, introducing an integrabl
e supersymmetric brick-wall quantum circuit. The brick-wall circuit is mad
e up by the $\\mathbf{S}$-matrix of a supersymmetric particle theory in 1+
1 dimensions as unitary gates. The analysis will focus on the limit betwee
n the inhomogeneous and homogeneous brick-wall\, uncovering some of the ri
ch structure hidden in the quantum circuit. We consider two limits for the
$\\mathbf{S}$-matrix\, the first with equally massive particles that will
give rise to the Kitaev chain at the critical point. The second with part
icle with different masses that will give rise to an extended dimerized Ki
taev Chain.\n\nhttps://konferenz.uni-hannover.de/event/78/contributions/10
39/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1039/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Analytical results for the entanglement dynamics of disjoint block
s in the XY chain
DTSTART;VALUE=DATE-TIME:20230706T100000Z
DTEND;VALUE=DATE-TIME:20230706T103000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1007@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Riccarda BONSIGNORI (Ruder Boskovic Institute (Zagre
b))\nThe study of the dynamics of entanglement measures after a quench has
become a very active area of research in the last two decades\, motivated
by the development of experimental techniques. However\, exact results in
this context are available in only very few cases. In this talk\, I prese
nt the results of a work done in collaboration with Gilles Parez\, in whic
h we provide the proof of the quasiparticle picture for the dynamics of en
tanglement entropies for two disjoint blocks in the XY chain after a quant
um quench. As a byproduct\, we also prove the quasiparticle conjecture for
the mutual information in that model. Our calculations generalize those p
resented in [M. Fagotti\, P. Calabrese\, Phys. Rev. A 78\, 010306 (2008)]
to the case where the correlation matrix is a block-Toeplitz matrix\, and
rely on the multidimensional stationary phase approximation in the scaling
limit. We also test the quasiparticle predictions against exact numerical
calculations\, and find excellent agreement. In the case of three blocks\
, we show that the tripartite information vanishes when at least two block
s are adjacent.\n\nhttps://konferenz.uni-hannover.de/event/78/contribution
s/1007/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1007/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adiabatic eigenstate deformations and weak integrability breaking
of Heisenberg chain
DTSTART;VALUE=DATE-TIME:20230706T070000Z
DTEND;VALUE=DATE-TIME:20230706T073000Z
DTSTAMP;VALUE=DATE-TIME:20231204T104351Z
UID:indico-contribution-78-1038@konferenz.uni-hannover.de
DESCRIPTION:Speakers: Anastasiia TIUTIAKINA (Laboratoire de Physique Th ́
eorique et Mod ́elisation)\nWe consider the spin-1/2 XXX chain weakly per
turbed away from integrability by an isotropic next-to-nearest neighbor ex
change interaction. Recently\, it was conjectured that this model possesse
s an infinite tower of quasiconserved integrals of motion (charges) [D. Ku
rlov et al.\, Phys. Rev. B 105\, 104302 (2022)]. In this work we first tes
t this conjecture by investigating how the norm of the adiabatic gauge pot
ential (AGP) scales with the system size\, which is known to be a remarkab
ly accurate measure of chaos. We find that for the perturbed XXX chain the
behavior of the AGP norm corresponds to neither an integrable nor a chaot
ic regime\, which supports the conjectured quasi-integrability of the mode
l. We then prove the conjecture and explicitly construct the infinite set
of quasiconserved charges. Our proof relies on the fact that the XXX chain
perturbed by next-to-nearest exchange interaction can be viewed as a trun
cation of an integrable long-range deformation of the Heisenberg spin chai
n.\n\nhttps://konferenz.uni-hannover.de/event/78/contributions/1038/
LOCATION:
URL:https://konferenz.uni-hannover.de/event/78/contributions/1038/
END:VEVENT
END:VCALENDAR