Relaxation dynamics of two coherently coupled one-dimensional bosonic gases

Abstract

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as at large time are investigated and compared with equilibrium results. In particular, within a semiclassical approximation, we compute correlation functions for the relative phase which are experimentally measurable and we observe a transient regime displaying oscillations as a function of the distance. The steady regime is very well approximated by a thermal state with a temperature independent of the tunneling strength.

12 pages, 4 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Generalized Gibbs ensemble in integrable lattice models
• Experimental Observation of a Generalized Gibbs Ensemble
• Ultracold atoms out of equilibrium
• Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
• Measuring effective temperatures in a generalized Gibbs ensemble

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• Edge singularities and quasi-long-range order in non-equilibrium steady states
• $Large-scale$ 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
• Relaxation in an Extended Bosonic Josephson Junction
• Quantum sine-Gordon dynamics in coupled spin chains
• Entanglement prethermalization in the Tomonaga-Luttinger model
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates
• Dynamics of rotated spin states and magnetic ordering with two-component bosonic atoms in optical lattices
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Sine-Gordon dynamics in spin transport
• Inhomogeneous quantum quenches in the sine-Gordon theory