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Published May 7, 2019 | Supplemental Material + Submitted + Published
Journal Article Open

From Bloch Oscillations to Many Body Localization in Clean Interacting Systems

Abstract

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.

Additional Information

© 2019 National Academy of Sciences. Published under the PNAS license. Edited by Angel Rubio, Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany, and approved March 29, 2019 (received for review November 9, 2018). This work was supported by Swiss National Science Foundation Grant P2EZP2-172185 (to E.v.N.), Army Research Office Multidisciplinary University Research Initiative W911NF-16-1-0361, "Quantum Materials by Design with Electromagnetic Excitation," sponsored by the US Army and the Packard Foundation (G.R.), and the Institute for Quantum Information and Matter, an NSF Physics Frontier Center funded in part by the Moore Foundation. Author contributions: E.v.N., Y.B., and G.R. designed research, performed research, analyzed data, and wrote the paper. The authors declare no conflict of interest. This article is a PNAS Direct Submission. Data deposition: The C++ code developed for this work has been deposited in GitHub, https://www.github.com/everthemore/krylov-cpp, and the data for Fig. 3 have been deposited in CaltechData, https://data.caltech.edu/records/1089. This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1819316116/-/DCSupplemental.

Attached Files

Published - 9269.full.pdf

Submitted - 1808.00471.pdf

Supplemental Material - pnas.1819316116.sapp.pdf

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Created:
August 22, 2023
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October 23, 2023