Journal
PHYSICAL REVIEW B
Volume 87, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.87.134202
Keywords
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Funding
- City University of New York High Performance Computing Center under NSF [CNS-0855217, CNS-0958379]
- National Science Foundation [NSF PHY11-25915]
- NSF [DMR-0955714, DMR-0819860]
- CNRS and Institute Henri Poincare (Paris, France)
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0955714] Funding Source: National Science Foundation
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Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy localization, leading to a so-called many-body localization transition. This dynamical phase transition is relevant to questions of thermalization in extended quantum systems far from the zero-temperature limit. It separates a many-body localized phase, in which localization prevents transport and thermalization, from a conducting (ergodic) phase in which the usual assumptions of quantum statistical mechanics hold. Here, we present numerical evidence that many-body localization also occurs in models without disorder but rather a quasiperiodic potential. In one dimension, these systems already have a single-particle localization transition, and we show that this transition becomes a many-body localization transition upon the introduction of interactions. We also comment on possible relevance of our results to experimental studies of many-body dynamics of cold atoms and nonlinear light in quasiperiodic potentials. DOI: 10.1103/PhysRevB.87.134202
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