Remnant Geometric Hall Response in a Quantum Quench
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 in a two-band system, can exhibit a nonzero Hall-type current—a remnant Hall response—even when the instantaneous H...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2017
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| Online Access: | https://hdl.handle.net/10356/86686 http://hdl.handle.net/10220/44152 |
| _version_ | 1811681080813551616 |
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| author | Wilson, Justin H. Song, Justin Chien Wen Refael, Gil |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Wilson, Justin H. Song, Justin Chien Wen Refael, Gil |
| author_sort | Wilson, Justin H. |
| collection | NTU |
| description | 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 in a two-band system, can exhibit a nonzero Hall-type current—a remnant Hall response—even when the instantaneous Hamiltonian is time reversal symmetric (in contrast to equilibrium Hall currents). Interestingly, the remnant Hall response arises from the coherent dynamics of the wave function that retain a remnant of its quantum geometry postquench, and can be traced to processes beyond linear response. Quenches in two-band Dirac systems are natural venues for realizing remnant Hall currents, which exist when either mirror or time-reversal symmetry are broken (before or after the quench). Its long time persistence, sensitivity to symmetry breaking, and decoherence-type relaxation processes allow it to be used as a sensitive diagnostic of the complex out-of-equilibrium dynamics readily controlled and probed in cold-atomic optical lattice experiments. |
| first_indexed | 2024-10-01T03:35:16Z |
| format | Journal Article |
| id | ntu-10356/86686 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:35:16Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/866862023-02-28T19:34:08Z Remnant Geometric Hall Response in a Quantum Quench Wilson, Justin H. Song, Justin Chien Wen Refael, Gil School of Physical and Mathematical Sciences Hall effect Out-of-equilibrium dynamics 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 in a two-band system, can exhibit a nonzero Hall-type current—a remnant Hall response—even when the instantaneous Hamiltonian is time reversal symmetric (in contrast to equilibrium Hall currents). Interestingly, the remnant Hall response arises from the coherent dynamics of the wave function that retain a remnant of its quantum geometry postquench, and can be traced to processes beyond linear response. Quenches in two-band Dirac systems are natural venues for realizing remnant Hall currents, which exist when either mirror or time-reversal symmetry are broken (before or after the quench). Its long time persistence, sensitivity to symmetry breaking, and decoherence-type relaxation processes allow it to be used as a sensitive diagnostic of the complex out-of-equilibrium dynamics readily controlled and probed in cold-atomic optical lattice experiments. Published version 2017-12-15T06:58:58Z 2019-12-06T16:27:19Z 2017-12-15T06:58:58Z 2019-12-06T16:27:19Z 2016 Journal Article Wilson, J. H., Song, J. C. W., & Refael, G. (2016). Remnant Geometric Hall Response in a Quantum Quench. Physical Review Letters, 117(23), 235302-. 0031-9007 https://hdl.handle.net/10356/86686 http://hdl.handle.net/10220/44152 10.1103/PhysRevLett.117.235302 en Physical Review Letters © 2016 American Physical Society. This paper was published in Physical Review Letters and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: [http://dx.doi.org/10.1103/PhysRevLett.117.235302]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 6 p. application/pdf |
| spellingShingle | Hall effect Out-of-equilibrium dynamics Wilson, Justin H. Song, Justin Chien Wen Refael, Gil Remnant Geometric Hall Response in a Quantum Quench |
| title | Remnant Geometric Hall Response in a Quantum Quench |
| title_full | Remnant Geometric Hall Response in a Quantum Quench |
| title_fullStr | Remnant Geometric Hall Response in a Quantum Quench |
| title_full_unstemmed | Remnant Geometric Hall Response in a Quantum Quench |
| title_short | Remnant Geometric Hall Response in a Quantum Quench |
| title_sort | remnant geometric hall response in a quantum quench |
| topic | Hall effect Out-of-equilibrium dynamics |
| url | https://hdl.handle.net/10356/86686 http://hdl.handle.net/10220/44152 |
| work_keys_str_mv | AT wilsonjustinh remnantgeometrichallresponseinaquantumquench AT songjustinchienwen remnantgeometrichallresponseinaquantumquench AT refaelgil remnantgeometrichallresponseinaquantumquench |