Quantum Quenches in Integrable Field Theories

Abstract

We study the non equilibrium time evolution of an integrable field theory in 1+1 dimensions after a sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long times limit of the one point function of a local operator as a series of form factors. Even if some subtleties force us to handle this result with care, there is a strong evidence that for long times the expectation value of any local operator can be described by a generalized Gibbs ensemble with a different effective temperature for each eigenmode.

References in corpus (11)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• The Luttinger model following a sudden interaction switch-on
• Dephasing and the steady state in quantum many-particle systems
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Quantum Quench from a Thermal Initial State
• Quantum quenches from integrability: the fermionic pairing model
• Expectation Values in the Lieb-Liniger Bose Gas
• Correlations in an expanding gas of hard-core bosons

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