Hybrid semiclassical theory of quantum quenches in one dimensional systems
arXiv:1609.00974 · doi:10.1103/PhysRevLett.119.100603
Abstract
We develop a hybrid semiclassical method to study the time evolution of one dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time evolving block decimation method, while treating orbital quasiparticle motion classically. We can follow dynamics up to timescales well beyond the reach of standard numerical methods to observe the crossover between pre-equilibrated and locally phase equilibrated states. As an application, we investigate the quench dynamics and phase fluctuations of a pair of tunnel coupled one dimensional Bose condensates. We demonstrate the emergence of soliton-collision induced phase propagation, soliton-entropy production and multistep thermalization. Our method can be applied to a wide range of gapped one-dimensional systems.
published version
References in corpus (19)
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Measuring entanglement entropy through the interference of quantum many-body twins
- Matter-wave interferometry in a double well on an atom chip
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- On solving quantum many-body problems by experiment
- Effective thermal dynamics following a quantum quench in a spin chain
- 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
- Quantum quench in the sine-Gordon model
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Initial states in integrable quantum field theory quenches from an integral equation hierarchy
- Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
- On the theory of quantum quenches in near-critical systems
- Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
Cited by in corpus (54)
- Finite-temperature transport in one-dimensional quantum lattice models
- Entanglement dynamics after quantum quenches in generic integrable systems
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Exact dynamics in dual-unitary quantum circuits
- What is an integrable quench?
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Anomalous spin diffusion in one-dimensional antiferromagnets
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
- Quantum information dynamics in multipartite integrable systems
- From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in Heisenberg spin chains
- Quantum information scrambling after a quantum quench
- Transport in the sine-Gordon field theory: from generalized hydrodynamics to semiclassics
- Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
- Overlaps after quantum quenches in the sine-Gordon model
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Quench dynamics of the Ising field theory in a magnetic field
- Entanglement and diagonal entropies after a quench with no pair structure
- Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Overlap singularity and time evolution in integrable quantum field theory
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Light-cone velocities after a global quench in a non-interacting model
- Dynamical manifestation of Gibbs paradox after a quantum quench
- Entanglement dynamics in confining spin chains
- thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
- Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Quantum quench in the attractive regime of the sine-Gordon model
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Real-time scattering of interacting quasiparticles in quantum spin chains
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Dual unitary circuits in random geometries
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
- Finite temperature dynamics in gapped 1D models in the sine-Gordon family
- Exact large-scale fluctuations of the phase field in the sine-Gordon model
- Return amplitude after a quantum quench in the XY chain
- Out-of-horizon correlations following a quench in a relativistic quantum field theory
- Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
- Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- Relaxation dynamics of integrable field theories after a global quantum quench
- Sine-Gordon model at finite temperature: the method of random surfaces
- Anomalous charge transport in the sine-Gordon model