Quantum quenches and many-body localization in the thermodynamic limit
arXiv:1411.0699 · doi:10.1103/PhysRevB.91.161109
Abstract
We use thermalization indicators and numerical linked cluster expansions to probe the onset of many-body localization in a disordered one-dimensional hard-core boson model in the thermodynamic limit. We show that after equilibration following a quench from a delocalized state, the momentum distribution indicates a freezing of one-particle correlations at higher values than in thermal equilibrium. The position of the delocalization to localization transition, identified by the breakdown of thermalization with increasing disorder strength, is found to be consistent with the value from the level statistics obtained via full exact diagonalization of finite chains. Our results strongly support the existence of a many-body localized phase in the thermodynamic limit.
6 pages, 6 figures, 1 table, as published
References in corpus (21)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Many body localization in Heisenberg XXZ magnet in a random field
- Breakdown of thermalization in finite one-dimensional systems
- Dynamical phase transition in correlated fermionic lattice systems
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Strong and weak thermalization of infinite non-integrable quantum systems
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Absence of Thermalization in Nonintegrable Systems
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Quantum quenches in the many-body localized phase
- Eigenstate thermalization within isolated spin-chain systems
- Numerical Linked-Cluster Approach to Quantum Lattice Models
- Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
- A Short Introduction to Numerical Linked-Cluster Expansions
- Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
- Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
- Purification and many-body localization in cold atomic gases
- Quantum quenches in the thermodynamic limit. II. Initial ground states