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Remnant Geometric Hall Response in a Quantum Quench

Wilson, Justin H. and Song, Justin C. W. and Refael, Gil (2016) Remnant Geometric Hall Response in a Quantum Quench. Physical Review Letters, 117 (23). Art. No. 235302. ISSN 0031-9007. doi:10.1103/PhysRevLett.117.235302.

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Out-of-equilibrium systems can host phenomena that transcend the usual restrictions of equilibrium systems. Here we unveil how out-of-equilibrium states, prepared via a quantum quench, can exhibit a non-zero Hall-type response that persists at long times, and even when the instantaneous Hamiltonian is time reversal symmetric; both these features starkly contrast with equilibrium Hall currents. Interestingly, the persistent Hall effect arises from processes beyond those captured by linear response, and is a signature of the novel dynamics in out-of-equilibrium systems. We propose quenches in two-band Dirac systems as natural venues to realize persistent Hall currents, which exist when either mirror or time-reversal symmetry are broken (before or after the quench). Its long time persistence, as well as sensitivity to symmetry breaking, allow it to be used as a sensitive diagnostic of the complex out-equilibrium dynamics readily controlled and probed in cold-atomic optical lattice experiments.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Wilson, Justin H.0000-0001-6903-0417
Song, Justin C. W.0000-0002-5175-6970
Alternate Title:Persistent Hall response in a quantum quench
Additional Information:© 2016 American Physical Society. Received 29 March 2016; published 30 November 2016. We thank Mehrtash Babadi, Eugene Demler, and Ian Spielman for helpful discussions. We thank the Air Force Office for Scientific Research (J. W.) and the Burke fellowship at the Walter Burke Institute of Theoretical Physics, Caltech (J. C. W. S.) for support. G. R. is grateful for support through the Institute of Quantum Information and Matter (IQIM), an National Science Foundation frontier center, supported by the Gordon and Betty Moore Foundation as well as the Packard Foundation and for the hospitality of the Aspen Center for Physics, where part of the work was performed.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Issue or Number:23
Record Number:CaltechAUTHORS:20160714-082247839
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69025
Deposited By: Tony Diaz
Deposited On:27 Jul 2016 21:36
Last Modified:11 Nov 2021 04:08

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