期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 116, 期 19, 页码 9269-9274出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1819316116
关键词
many-body localization; Stark; thermalization; ergodicity
资金
- Swiss National Science Foundation [P2EZP2-172185]
- Army Research Office Multidisciplinary University Research Initiative [W911NF-16-1-0361]
- US Army
- Packard Foundation
- Institute for Quantum Information and Matter, an NSF Physics Frontier Center
- Moore Foundation
- Swiss National Science Foundation (SNF) [P2EZP2_172185] Funding Source: Swiss National Science Foundation (SNF)
In this work we demonstrate that nonrandom mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder. In particular, we consider interacting spins and fermions in the presence of a linear potential. In the noninteracting limit, these models show the well-known Wannier-Stark localization. We analyze the fate of this localization in the presence of interactions. Remarkably, we find that beyond a critical value of the potential gradient these models exhibit nonergodic behavior as indicated by their spectral and dynamical properties. These models, therefore, constitute a class of generic nonrandom models that fail to thermalize. As such, they suggest new directions for experimentally exploring and understanding the phenomena of many-body localization. We supplement our work by showing that by using machine-learning techniques the level statistics of a system may be calculated without generating and diagonalizing the Hamiltonian, which allows a generation of large statistics.
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