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Universal Properties of Many-Body Delocalization Transitions
- Source :
- Physical Review X, Vol 5, Iss 3, p 031033 (2015)
- Publication Year :
- 2015
- Publisher :
- American Physical Society, 2015.
-
Abstract
- We study the dynamical melting of “hot” one-dimensional many-body localized systems. As disorder is weakened below a critical value, these nonthermal quantum glasses melt via a continuous dynamical phase transition into classical thermal liquids. By accounting for collective resonant tunneling processes, we derive and numerically solve an effective model for such quantum-to-classical transitions and compute their universal critical properties. Notably, the classical thermal liquid exhibits a broad regime of anomalously slow subdiffusive equilibration dynamics and energy transport. The subdiffusive regime is characterized by a continuously evolving dynamical critical exponent that diverges with a universal power at the transition. Our approach elucidates the universal long-distance, low-energy scaling structure of many-body delocalization transitions in one dimension, in a way that is transparently connected to the underlying microscopic physics. We discuss experimentally testable signatures of the predicted scaling properties.
Details
- Language :
- English
- ISSN :
- 21603308
- Volume :
- 5
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Physical Review X
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4f6bfb0323b54455a192b5d45690d8d6
- Document Type :
- article
- Full Text :
- https://doi.org/10.1103/PhysRevX.5.031033