The effect of symmetry on many-body localization and thermalization
arXiv:1612.01208 · doi:10.1103/PhysRevB.96.041122
Abstract
The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the case of symmetric disordered spin chains. The symmetry imposes strong constraints on the entanglement structure of the eigenstates, precluding conventional MBL. We construct a fixed-point Hamiltonian, which realizes a non-ergodic (but non-MBL) phase characterized by eigenstates having logarithmic scaling of entanglement with the system size, as well as an incomplete set of quasi-local integrals of motion. We study the response of such a phase to local symmetric perturbations, finding that even weak perturbations induce multi-spin resonances. We conclude that the non-ergodic phase is generally unstable and that symmetry implies thermalization. The approach introduced in this work can be used to study dynamics in disordered systems with non-Abelian symmetries, and provides a starting point for searching non-ergodic phases beyond conventional MBL.
5+12 pages, 4 figures
References in corpus (14)
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- Exploring the many-body localization transition in two dimensions
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- A class of quantum many-body states that can be efficiently simulated
- Many-body localization in periodically driven systems
- Integrals of motion in the Many-Body localized phase
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Constructing local integrals of motion in the many-body localized phase
- Quantum quenches in the many-body localized phase
- Quantum revivals and many-body localization
- Symmetry constraints on many-body localization
- Quantum criticality of hot random spin chains
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