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arXiv · 1808.00471

From Bloch Oscillations to Many Body Localization in Clean Interacting Systems

Evert P. L. van Nieuwenburg·Yuval Baum·Gil Refael
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Abstract

In this work we demonstrate that non-random 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 non-interacting 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 non-ergodic behavior as indicated by their spectral and dynamical properties. These models, therefore, constitute a new class of generic non-random 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 employing 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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Evert P. L. van Nieuwenburg, Yuval Baum, Gil Refael. 2018-08-01. From Bloch Oscillations to Many Body Localization in Clean Interacting Systems. https://doi.org/10.1073/pnas.1819316116

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