Mode coupling induced dissipative and thermal effects at long times after a quantum quench

Abstract

An interaction quench in a Luttinger liquid can drive it into an athermal steady state. We analyze the effects on such an out of equilibrium state of a mode coupling term due to a periodic potential. Employing a perturbative renormalization group approach we show that even when the periodic potential is an irrelevant perturbation in equilibrium, it has important consequences on the athermal steady state as it generates a temperature as well as a dissipation and hence a finite life-time for the bosonic modes.

4+ pages and 2 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Dephasing and the steady state in quantum many-particle systems
• Quantum quench dynamics of the Luttinger model
• Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• Correlations in an expanding gas of hard-core bosons
• A random phase approximation study of one-dimensional fermions after a quantum quench

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