Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model

Abstract

We discuss the non-equilibrium time evolution of the phase field in the sine-Gordon model using two very different approaches: the truncated Wigner approximation and the truncated conformal space approach. We demonstrate that the two approaches agree for a period covering the first few oscillations, thereby giving a solid theoretical prediction in the framework of sine-Gordon model, which is thought to describe the dynamics of two bosonic condensates in quasi-one-dimensional traps coupled via a Josephson tunneling term. We conclude, however, that the recently observed phase-locking behavior cannot be explained in terms of homogeneous sine-Gordon dynamics, which hints at the role of other degrees of freedom or inhomogeneity in the experimental system.

arXiv comment34 pages, 9 figures

References in corpus (43)

• Many-Body Physics with Ultracold Gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Quantum thermalization through entanglement in an isolated many-body system
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Light-cone-like spreading of correlations in a quantum many-body system
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Experimental Observation of a Generalized Gibbs Ensemble
• Phase space representation of quantum dynamics
• Microscopic observation of magnon bound states and their dynamics
• Local emergence of thermal correlations in an isolated quantum many-body system
• Bosonizing one-dimensional cold atomic gases
• Exact expectation values of local fields in quantum sine-Gordon model
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• On solving quantum many-body problems by experiment
• Quantum quench in an atomic one-dimensional Ising chain
• A classical field method for time dependent Bose condensed gases
• Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
• A Cheap Alternative to the Lattice?
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• Realization of a single Josephson junction for Bose-Einstein condensates
• Hamiltonian truncation approach to quenches in the Ising field theory
• Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
• Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
• A Numerical Renormalization Group for Continuum One-Dimensional Systems
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• Hybrid semiclassical theory of quantum quenches in one dimensional systems
• Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
• Quantum quenches in the sine--Gordon model: a semiclassical approach
• Overlaps after quantum quenches in the sine-Gordon model
• Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
• The renormalisation group for the truncated conformal space approach on the cylinder
• Quench dynamics of the Ising field theory in a magnetic field
• Non-equilibrium dynamics of coupled Luttinger liquids
• Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
• Confinement in the q-state Potts model: an RG-TCSA study
• Non-perturbative method to compute thermal correlations in one-dimensional systems
• One-point functions in finite volume/temperature: a case study
• Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model
• Coherence and Josephson oscillations between two tunnel-coupled one-dimensional atomic quasicondensates at finite temperature
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators

Cited by in corpus (34)

• The quantum sine-Gordon model with quantum circuits
• $Large-scale$ 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
• Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
• Semiclassical Approximation meets Keldysh-Schwinger diagrammatic technique: Scalar ${\phi }^4$
• Josephson oscillations in split one-dimensional Bose gases
• On the low-energy description for tunnel-coupled one-dimensional Bose gases
• Relaxation in an Extended Bosonic Josephson Junction
• False vacuum decay in the 1+1 dimensional ${\phi }^4$ theory
• Quantum sine-Gordon dynamics in coupled spin chains
• Chirally Factorised Truncated Conformal Space Approach
• Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
• Many-body parametric resonances in the driven sine-Gordon model
• Exact large-scale fluctuations of the phase field in the sine-Gordon model
• Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
• Full Counting Statistics of Charge in Quenched Quantum Gases
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Popcorn Drude weights from quantum symmetry
• Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Anomalous scaling at non-thermal fixed points of the sine-Gordon model
• Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Non-equilibrium time evolution in the sine-Gordon model revisited
• Sine-Gordon model at finite temperature: the method of random surfaces
• Anomalous charge transport in the sine-Gordon model
• On computing non-equilibrium dynamics following a quench
• Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Relaxation dynamics in the (double) sine-Gordon model: An open-system viewpoint
• Inhomogeneous quantum quenches in the sine-Gordon theory