Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
arXiv:1902.08587 · doi:10.1103/PhysRevB.100.035401
Abstract
We study quantum quenches in the Heisenberg spin chain and show that the dynamics can be described by the recently developed semi-semiclassical method based on particles propagating along classical trajectories but scattering quantum mechanically. We analyze the non-equilibrium time evolution of the distribution of the total spin in half of the system and compare the predictions of the semi-semiclassical theory with those of a non-Abelian time evolving block decimation (TEBD) algorithm which exploits the SU(2) symmetry. We show that while the standard semiclassical approach using the universal low energy scattering matrix cannot describe the dynamics, the hybrid semiclassical method based on the full scattering matrix gives excellent agreement with the first principles TEBD simulation.
arXiv comment14 pages, 11 figures
References in corpus (59)
- The density-matrix renormalization group in the age of matrix product states
- Nonequilibrium dynamics of closed interacting quantum systems
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Real time evolution using the density matrix renormalization group
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum many-body systems out of equilibrium
- Quantum thermalization through entanglement in an isolated many-body system
- Unbounded growth of entanglement in models of many-body localization
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Many body localization in Heisenberg XXZ magnet in a random field
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Light-cone-like spreading of correlations in a quantum many-body system
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Counting statistics of single-electron transport in a quantum dot
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Interaction Quench in the Hubbard model
- Entropy scaling and simulability by Matrix Product States
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- Ultracold atoms out of equilibrium
- Probing quantum and thermal noise in an interacting many-body system
- Non-abelian symmetries in tensor networks: a quantum symmetry space approach
- Prethermalization and thermalization in models with weak integrability breaking
- The Non-Abelian Density Matrix Renormalization Group Algorithm
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Quantum Quenches in Integrable Field Theories
- Conformal field theory out of equilibrium: a review
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Dynamical preparation of Floquet Chern insulators
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Quantum quenches in the many-body localized phase
- Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
- Low temperature relaxational dynamics of the Ising chain in a transverse field
- Matrix product solutions of boundary driven quantum chains
- Low temperature spin diffusion in the one-dimensional quantum nonlinear -model
- Entanglement spreading in a many-body localized system
- Determination of the Nonequilibrium Steady State Emerging from a Defect
- Topology of one dimensional quantum systems 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
- Order parameter statistics in the critical quantum Ising chain
- Initial states in integrable quantum field theory quenches from an integral equation hierarchy
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion
- Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
- Full counting statistics of time of flight images
- Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry
- Full counting statistics in the spin-1/2 Heisenberg XXZ chain
- Topological Rényi entropy after a quantum quench
- Dynamical manifestation of Gibbs paradox after a quantum quench
- S matrix from matrix product states
- Dynamical correlations and quantum phase transition in the quantum Potts model
- SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
- Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Out-of-equilibrium dynamics and thermalization of string order
- Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice
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