Failure of the GGE hypothesis for integrable models with bound states

Abstract

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.

4 pages, 1 figure

References in corpus (12)

• Thermalization and its mechanism for generic isolated quantum systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• The Luttinger model following a sudden interaction switch-on
• Dynamical phase transition in correlated fermionic lattice systems
• Dephasing and the steady state in quantum many-particle systems
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Quantum quench dynamics of the Luttinger model
• Generalized TBA and generalized Gibbs
• Quantum quenches from integrability: the fermionic pairing model
• Breakdown of the generalized Gibbs ensemble for current-generating quenches
• Initial state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states

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