Dynamics in many-body localized quantum systems without disorder
arXiv:1410.4690 · doi:10.1103/PhysRevB.91.184202
Abstract
We study the relaxation dynamics of strongly interacting quantum systems that display a kind of many-body localization in spite of their translation-invariant Hamiltonian. We show that dynamics starting from a random initial configuration is nonperturbatively slow in the hopping strength, and potentially genuinely nonergodic in the thermodynamic limit. In finite systems with periodic boundary conditions, density relaxation takes place in two stages, which are separated by a long out-of-equilibrium plateau whose duration diverges exponentially with the system size. We estimate the phase boundary of this quantum glass phase, and discuss the role of local resonant configurations. We suggest experimental realizations and methods to observe the discussed nonergodic dynamics.
Version published in PRB. 11 pages, 6 figures
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- Signatures of many-body localisation in the dynamics of two-sites entanglement
- Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
- Statistical Bubble Localization with Random Interactions
- Explicit construction of quasi-conserved local operator of translationally invariant non-integrable quantum spin chain in prethermalization
- Asymptotic Localization in the Bose-Hubbard Model