Remnant Geometric Hall Response in a Quantum Quench
Abstract
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.
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.Attached Files
Published - PhysRevLett.117.235302.pdf
Submitted - 1603.01621v1.pdf
Supplemental Material - supplement2.pdf
Files
Additional details
- Alternative title
- Persistent Hall response in a quantum quench
- Eprint ID
- 69025
- Resolver ID
- CaltechAUTHORS:20160714-082247839
- Air Force Office of Scientific Research (AFOSR)
- Walter Burke Institute for Theoretical Physics, Caltech
- Institute for Quantum Information and Matter (IQIM)
- NSF
- Gordon and Betty Moore Foundation
- David and Lucile Packard Foundation
- Created
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2016-07-27Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics