Mode-Coupling-Induced Dissipative and Thermal Effects at Long Times after a Quantum Quench

2011/05/31 by Aditi Mitra, Thierry Giamarchi · 121 citations
Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Dissipation #Dissipative system #Luttinger liquid #Materials science #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Steady state (chemistry) #Strong Light-Matter Interactions #Thermal #Thermal equilibrium #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.107.150602

published in Physical Review Letters 107(15), 150602 (American Physical Society) · 4+ pages and 2 figures

arxiv created 2011/09/10 · openalex publication_date 2011/10/05 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 lifetime for the bosonic modes.

Citations

• Many-body physics with ultracold gases

Cited by

• Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
• Dynamic Kosterlitz-Thouless transition in two-dimensional Bose mixtures of ultracold atoms
• Interaction quenches in the one-dimensional Bose gas
• Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Loschmidt Echo and the Many-Body Orthogonality Catastrophe in a Qubit-Coupled Luttinger Liquid
• Phenomenology of first-order dark-state phase transitions
• Finite-time interaction quench in a Luttinger liquid
• Absorbing State Phase Transition with Competing Quantum and Classical Fluctuations
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Equilibration and GGE in interacting-to-free quantum quenches in dimensions d\gt 1

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