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Failure of the GGE hypothesis for integrable models with bound states · Around

2014

Failure of the GGE hypothesis for integrable models with bound states

Goldstein, Garry, Andrei, Natan

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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.

Built on

V. E. Korepin, N. M. Bogoliubov and A. G. Izergin, Quantum inverse scattering and correlation functions
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M. Takahashi, Thermodynamics of one-dimensional solvable models
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T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) 440
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