# Exploring the many-body localization transition in two dimensions

@article{Choi2016ExploringTM, title={Exploring the many-body localization transition in two dimensions}, author={Jae-yoon Choi and Sebastian J Hild and Johannes Zeiher and Peter Schauss and Antonio Rubio-Abadal and Tarik Yefsah and Vedika Khemani and David A. Huse and Immanuel Bloch and Christian Gross}, journal={Science}, year={2016}, volume={352}, pages={1547 - 1552} }

Bosons refusing to thermalize in 2D Messy, interacting quantum-mechanical systems are difficult to analyze theoretically. In a single spatial dimension, the calculations are still tractable, and experiments have recently confirmed the prediction that sufficiently strong disorder can disrupt the transport of interacting particles. In two dimensions, however, the theoretical blueprint is missing. Choi et al. used single-site imaging of cold 87Rb atoms in an optical lattice to show that similar…

## 583 Citations

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Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a…

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This work introduces experimentally accessible witnesses that directly probe distinct features of MBL, distinguishing it from its Anderson counterpart, and builds upon the theory of out of equilibrium quantum systems, in conjunction with tensor network and exact simulations, showing the effectiveness of the tools for realistic models.

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This work experimentally establishes many-body localization as a qualitatively distinct phenomenon from localization in noninteracting, disordered systems in a disordered Bose-Hubbard chain.

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It is demonstrated that nonrandom mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder, and a class of generic nonrandom models that fail to thermalize are constituted, which suggest new directions for experimentally exploring and understanding the phenomena of many- body localization.

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Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic…

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Lessons from Anderson localization highlight the importance of the dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focused on the…

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In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times, even weak couplings to any thermal…

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