Non-equilibrium dynamics of coupled Luttinger liquids

Abstract

In this work we consider the dynamics of two tunnel coupled chains after a quench in the tunneling strength is performed and the two systems are let evolve independently. We describe the form of the initial state comparing with previous results concerning the dynamics after the splitting of a one-dimensional gas of bosons into two phase coherent systems. We compute different correlation functions, among which those that are relevant for interference measurements, and discuss the emergence of effective temperatures also in connection with previous works.

8 pages

References in corpus (13)

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Cited by in corpus (28)

• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• Hybrid semiclassical theory of quantum quenches in one dimensional systems
• Quantum quenches in the sine--Gordon model: a semiclassical approach
• Quantum Quenches in the Luttinger model and its close relatives
• Memory-preserving equilibration after a quantum quench in a 1d critical model
• Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
• Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
• $Large-scale$ thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
• Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Josephson oscillations in split one-dimensional Bose gases
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• On the low-energy description for tunnel-coupled one-dimensional Bose gases
• Quantum sine-Gordon dynamics in coupled spin chains
• Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
• Many-body parametric resonances in the driven sine-Gordon model
• Thermalization Dynamics of Two Correlated Bosonic Quantum Wires After a Split
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Sine-Gordon dynamics in spin transport
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• One dimensional Bose-Hubbard model with long range hopping
• Inhomogeneous quantum quenches in the sine-Gordon theory