From Interacting Particles to Equilibrium Statistical Ensembles

Abstract

We argue that a particle language provides a conceptually simple framework for the description of anomalous equilibration in isolated quantum systems. We address this paradigm in the context of integrable models, which are those with particles that are stable against decay. In particular, we demonstrate that a complete description of equilibrium ensembles for interacting integrable models requires a formulation built from the mode occupation numbers of the underlying particle content, mirroring the case of non-interacting particles. This yields an intuitive physical interpretation of generalized Gibbs ensembles, and reconciles them with the microcanonical ensemble. We explain how previous attempts to identify an appropriate ensemble overlooked an essential piece of information, and provide explicit examples in the context of quantum quenches.

4 pages + appendices

References in corpus (21)

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• Generalized Gibbs Ensembles for Quantum Field Theories
• Quantum quench in the sine-Gordon model
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• Pre-relaxation in weakly interacting models
• Simplified TBA equations of the AdS_5 x S^5 mirror model

Cited by in corpus (6)

• What is an integrable quench?
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Exact solution for the quench dynamics of a nested integrable system
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Charges of long random states of the Heisenberg spin-1/2 chain model