Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory

Abstract

We study quantum quenches in the $S=1$ 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.

14 pages, 11 figures

References in corpus (16)

• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Many body localization in Heisenberg XXZ magnet in a random field
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Interaction Quench in the Hubbard model
• Entropy scaling and simulability by Matrix Product States
• Ultracold atoms out of equilibrium
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Quantum quenches in the many-body localized phase
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Entanglement spreading in a many-body localized system
• Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
• Order parameter statistics in the critical quantum Ising chain
• Crossover from adiabatic to sudden interaction quench in a Luttinger liquid
• Full counting statistics in the spin-1/2 Heisenberg XXZ chain
• SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries