Quantum quench in long-range field theories

Abstract

We study equilibration properties of observables in long-range field theories after the mass quench in $d=1,2$ and $3$ dimensions. We classify the regimes where we expect equilibration or its absence in different dimensions. In addition we study the effect of the initial state in the equilibration properties of our system. In the case of free field theories we show that whenever we have equilibration the long-time limit of correlations can be described by the Generalized Gibbs Ensemble. We prove that all integrals of motions in our system are non-local.

14 pages, 8 figures, V2: published version

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Cited by in corpus (6)

• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Pre-relaxation in weakly interacting models
• Approximate light cone effects in a non-relativistic quantum field theory after a local quench
• Interplay of Soundcone and Supersonic Propagation in Lattice Models with Power Law Interactions
• Entanglement entropy of the long-range Dyson hierarchical model