Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium

Abstract

We derive a self-consistent time-dependent harmonic approximation for the quantum sine-Gordon model out of equilibrium and apply the method to the dynamics of tunnel-coupled one-dimensional Bose gases. We determine the time evolution of experimentally relevant observables and in particular derive results for the probability distribution of subsystem phase fluctuations. We investigate the regime of validity of the approximation by applying it to the simpler case of a nonlinear harmonic oscillator, for which numerically exact results are available. We complement our self-consistent harmonic approximation by exact results at the free fermion point of the sine-Gordon model.

18 pages, 9 figures

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Cited by in corpus (23)

• Hydrodynamics of weak integrability breaking
• Observation of the BKT Transition in a 2D Bose Gas via Matter-Wave Interferometry
• $Large-scale$ thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
• Formation probabilities and statistics of observables as defect problems in the free fermions and the quantum spin chains
• 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
• Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
• Full Counting Statistics of Charge in Quenched Quantum Gases
• Many-body parametric resonances in the driven sine-Gordon model
• Coherent splitting of two-dimensional Bose gases in magnetic potentials
• A simple theory for quantum quenches in the ANNNI model
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates
• Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
• Duality between weak and strong interactions in quantum gases
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
• Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
• Non-equilibrium time evolution in the sine-Gordon model revisited
• Sine-Gordon model at finite temperature: the method of random surfaces
• Inhomogeneous quantum quenches in the sine-Gordon theory