Slow thermalization of exact quantum many-body scar states under perturbations
Abstract
Quantum many-body scar states are exceptional finite energy density eigenstates in an otherwise thermalizing system that do not satisfy the eigenstate thermalization hypothesis. We investigate the fate of exact many-body scar states under perturbations. At small system sizes, deformed scar states described by perturbation theory survive. However, we argue for their eventual thermalization in the thermodynamic limit from the finite-size scaling of the off-diagonal matrix elements. Nevertheless, we show numerically and analytically that the nonthermal properties of the scars survive for a parametrically long time in quench experiments. We present a rigorous argument that lower bounds the thermalization time for any scar state as t∗∼O(λ^(−1/(1+d))), where d is the spatial dimension of the system and λ is the perturbation strength.
Additional Information
© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 12 November 2019; revised 10 June 2020; accepted 11 June 2020; published 9 July 2020. We thank Manuel Endres, Tarun Grover, Timothy Hsieh, Vedika Khemani, Michael Knap, Christopher Laumann, Zlatko Papić, Brenden Roberts, Maksym Serbyn, Brian Timar, Christopher Turner, and Christopher White for valuable discussions. This work was supported by National Science Foundation (NSF) through Grants No. DMR-1619696 (C.-J.L. and O.I.M.) and DMR-1752759 (A.C.). A.C. further acknowledges support from the Sloan Foundation through the Sloan Research Fellowship. C.-J.L. acknowledges support from Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Economic Development, Job Creation and Trade.Attached Files
Published - PhysRevResearch.2.033044.pdf
Submitted - 1910.07669.pdf
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Additional details
- Eprint ID
- 104312
- Resolver ID
- CaltechAUTHORS:20200709-135402210
- NSF
- DMR-1619696
- NSF
- DMR-1752759
- Alfred P. Sloan Foundation
- Perimeter Institute for Theoretical Physics
- Department of Innovation, Science and Economic Development (Canada)
- Ontario Ministry of Economic Development, Job Creation and Trade
- Created
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2020-07-09Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field