Non-equilibrium time evolution in the sine-Gordon model revisited
arXiv:2309.03596 · doi:10.1103/PhysRevB.109.014308
Abstract
We study the non-equilibrium dynamics of the quantum sine-Gordon model describing a pair of Josephson-coupled one-dimensional bosonic quasi-condensates. Motivated by experimentally accessible quench procedures where the zero mode of the quasi-condensates is weakly coupled to finite momentum modes, we develop a novel Hamiltonian truncation scheme relying on a mini-superspace treatment of the zero mode (MSTHA). We apply this method to simulate the time evolution after both weak and strong quantum quenches, injecting a low or high energy density into the system, and demonstrate that MSTHA accurately captures the dynamics from the hard core boson limit to the experimentally relevant weakly interacting regime for sufficiently mild quenches. In the case of high energy densities, MSTHA breaks down for weak interaction but still extends the range of validity of previous Hamiltonian truncation schemes. We also compare these results to the semiclassical truncated Wigner approximation (TWA) and establish that the dynamics can be well approximated by the semiclassical description in the weakly interacting regime realised in the experiments. In addition, we clarify the importance of the phononic modes depending on the sine-Gordon interaction strength.
arXiv comment14 pages, 3 figures. v2: accepted version
References in corpus (43)
- Time-dependence of correlation functions following a quantum quench
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quenches in Extended Systems
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Phase space representation of quantum dynamics
- Local emergence of thermal correlations in an isolated quantum many-body system
- Exact expectation values of local fields in quantum sine-Gordon model
- On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
- On solving quantum many-body problems by experiment
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
- Quantum quench in the sine-Gordon model
- 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
- Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality
- 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
- Excitation hierarchy of the quantum sine-Gordon spin chain in strong magnetic field
- A Numerical Renormalization Group for Continuum One-Dimensional Systems
- The quantum sine-Gordon model with quantum circuits
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Elementary excitations of S=1/2 one-dimensional antiferromagnet KCuGaF6 in magnetic field and quantum sine-Gordon model
- Truncated Hilbert space approach to the 2d theory
- Overlap singularity and time evolution in integrable quantum field theory
- Experimental Observation of Curved Light-Cones in a Quantum Field Simulator
- Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
- Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
- Quantum quench in the attractive regime of the sine-Gordon model
- Modulational instabilities in Josephson oscillations of elongated coupled condensates
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Approaching the Self-Dual Point of the Sinh-Gordon model
- 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
- Chirally Factorised Truncated Conformal Space Approach
- Thermodynamics and fractal Drude weights in the sine-Gordon model
- Non-perturbative method to compute thermal correlations in one-dimensional systems
- Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model
- Exact finite volume expectation values of in the Massive Thirring model from light-cone lattice correlators