Exploring many body localization and thermalization using semiclassical method

Abstract

The Discrete Truncated Wigner Approximation (DTWA) is a semi-classical phase space method useful for the exploration of Many-body quantum dynamics. In this work we investigate Many-Body Localization (MBL) and thermalization using DTWA and compare its performance to exact numerical solutions. By taking as a benchmark case a 1D random field Heisenberg spin chain with short range interactions, and by comparing to numerically exact techniques, we show that DTWA is able to reproduce dynamical signatures that characterize both the thermal and the MBL phases. It exhibits the best quantitative agreement at short times deep in each of the phases and larger mismatches close to the phase transition. The DTWA captures the logarithmic growth of entanglement in the MBL phase, even though a pure classical mean-field analysis would lead to no dynamics at all. Our results suggest the DTWA can become a useful method to investigate MBL and thermalization in experimentally relevant settings intractable with exact numerical techniques, such as systems with long range interactions and/or systems in higher dimensions.

References in corpus (12)

• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization edge in the random-field Heisenberg chain
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Quantum metrology from a quantum information science perspective
• Integrals of motion in the Many-Body localized phase
• Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
• Quantum Quenches, Thermalization and Many-Body Localization
• Quantum revivals and many-body localization
• Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
• Emergent local integrals of motion without a complete set of localized eigenstates

Cited by in corpus (24)

• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Cluster Truncated Wigner Approximation in Strongly Interacting Systems
• Time crystals in a shaken atom-cavity system
• Quantum dynamics of disordered spin chains with power-law interactions
• A generalized phase space approach for solving quantum spin dynamics
• The effect of active photons on dynamical frustration in cavity QED
• An approach to quantum gas microscopy of polar molecules
• Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
• Stroboscopic aliasing in long-range interacting quantum systems
• Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
• Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
• Localization of Extended Quantum Objects
• Many-Body Localization: Transitions in Spin Models
• Motional decoherence in ultracold Rydberg atom quantum simulators of spin models
• Gaussian-state Ansatz for the non-equilibrium dynamics of quantum spin lattices
• Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
• Discrete and generalized phase space techniques in critical quantum spin chains
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
• Cluster truncated Wigner approximation for bond-disordered Heisenberg spin models
• Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems
• AC Conductivity Crossover in Localized Superconductors
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases