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Subintervals of (Random Subsets of) Intervals and Entanglement in Quantum Spin Chains

When

January 18, 2019 | 2:30 - 3.30 p.m.

Where

Campbell Hall 443

Speaker

Dr. Gunter Stolz, UAB

Abstract

The entanglement entropy of eigenstates provides a measure which can be used to study if an interacting quantum system is localized. In particular, guided by the well known phenomenon of Anderson localization for non-interacting systems, one expects that the exposure of the system to disorder will increase its tendency towards localization. We discuss this in the example of the quantum Ising chain. This simple model allows for a very explicit description of how eigenstate entanglement is reduced by the introduction of disorder. This is part of a joint project with Houssam Abdul-Rahman and Christoph Fischbacher.