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Failure of the GGE hypothesis for integrable models with bound states

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arxiv 1405.4224 v3 pith:U6Y5GYES submitted 2014-05-16 cond-mat.quant-gas

Garry Goldstein , Natan Andrei This is my paper · ORCID
classification cond-mat.quant-gas
keywords statesboundintegrablemodelsapplicabilityattractivecalculationsdescribe
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In this work we study the applicability of the GGE to integrable one dimensional systems with bound states. We find that the GGE fails to describe the long time dynamics for most initial states including eigenstates. We present our calculations studying the attractive Lieb-Liniger gas and the XXZ magnet, though similar results may be obtained for other models.

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  1. Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    An exact finite-volume formula for current expectation values in Bethe ansatz models is derived, proving the GHD current conjecture for interacting lattice systems.

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