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Many-body localization from dynamical gauge fields

Yao, Zhiyuan and Liu, Chang and Zhang, Pengfei and Zhai, Hui (2020) Many-body localization from dynamical gauge fields. Physical Review B, 102 (10). Art. No. 104302. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20200924-144351451

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Abstract

A recent experiment [C. Schweizer, F. Grusdt, M. Berngruber, L. Barbiero, E. Demler, N. Goldman, I. Bloch, and M. Aidelsburger, Nat. Phys. 15, 1168 (2019)] has realized a dynamical gauge system with a ℤ₂ gauge symmetry in a double-well potential. In this work we propose a method to generalize this model from a single double well to a one-dimensional chain. We show that although there are no disordered potentials in the original model, the phenomenon of many-body localization can occur. The key ingredient is that different symmetry sectors with different local gauge charges play the role of different disorder configurations, which becomes clear after exactly mapping our model to a transverse Ising model in a random longitudinal field. We show that both the ergodic regime and the many-body localized regime exist in this model from four different metrics, which include level statistics, volume law versus area law of entanglement entropy of eigenstates, quench dynamics of entanglement entropy, and physical observables.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.102.104302DOIArticle
https://arxiv.org/abs/2003.12675arXivDiscussion Paper
ORCID:
AuthorORCID
Yao, Zhiyuan0000-0002-7601-8704
Liu, Chang0000-0002-1218-0673
Zhang, Pengfei0000-0002-7408-0918
Zhai, Hui0000-0001-8118-6027
Additional Information:© 2020 American Physical Society. (Received 15 April 2020; accepted 8 September 2020; published 18 September 2020) This work is supported by Beijing Outstanding Young Scientist Program, MOST under Grant No. 2016YFA0301600 and NSFC Grant No. 11734010.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Ministry of Science and Technology (China)2016YFA0301600
National Natural Science Foundation of China11734010
Issue or Number:10
Record Number:CaltechAUTHORS:20200924-144351451
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200924-144351451
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105524
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:24 Sep 2020 22:27
Last Modified:24 Sep 2020 22:27

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