27.–31. März 2022
Europe/Berlin Zeitzone

Bipartite fidelity in the XXZ spin chain at the combinatorial point

30.03.2022, 15:00
1 h
40 Min Talk Abstracts of Participants Talks

Sprecher

Gilles Parez (CRM, Université de Montréal)

Beschreibung

The bipartite fidelity was introduced in 2011 by Stéphan and Dubail as an entanglement measure in quantum many-body systems. It is expressed in terms of the overlap between the groundstate of the whole system and a tensor product of groundstates for two complementary subsystems. For one-dimensional quantum critical systems, the bipartite fidelity has an interpretation in terms of conformal field theory (CFT), and its asymptotic behavior depends on the conformal data of the underlying CFT.

I will discuss the bipartite fidelity for the XXZ spin chain at Δ=1/2. The combinatorial structure of the model allows us to derive exact finite-size expressions for the overlaps, and to investigate their asymptotic behavior. In particular, our results agree with the CFT predictions of Stéphan and Dubail. This talk is based on arXiv:2111.15223, in collaboration with Christian Hagendorf.

Hauptautor

Gilles Parez (CRM, Université de Montréal)

Präsentationsmaterialien

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