Wave packet dynamics in synthetic non-Abelian gauge fields
It is generally admitted that in quantum mechanics, the electromagnetic potentials have physical interpretations otherwise absent in classical physics as illustrated by the Aharonov-Bohm effect. In 1984, Berry interpreted this effect as a geometrical phase factor. The same year, Wilczek and Zee gene...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/170757 |
| _version_ | 1826118823089012736 |
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| author | Hasan, Mehedi Madasu, Chetan Sriram Rathod, Ketan Damji Kwong, Chang Chi Miniatura, Christian Chevy, Frédéric Wilkowski, David |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Hasan, Mehedi Madasu, Chetan Sriram Rathod, Ketan Damji Kwong, Chang Chi Miniatura, Christian Chevy, Frédéric Wilkowski, David |
| author_sort | Hasan, Mehedi |
| collection | NTU |
| description | It is generally admitted that in quantum mechanics, the electromagnetic potentials have physical interpretations otherwise absent in classical physics as illustrated by the Aharonov-Bohm effect. In 1984, Berry interpreted this effect as a geometrical phase factor. The same year, Wilczek and Zee generalized the concept of Berry phases to degenerate levels and showed that a non-Abelian gauge field arises in these systems. In sharp contrast with the Abelian case, spatially uniform non-Abelian gauge fields can induce particle noninertial motion. We explore this intriguing phenomenon with a degenerated Fermionic atomic gas subject to a two-dimensional synthetic SU(2) non-Abelian gauge field. We reveal the spin Hall nature of the noninertial dynamic as well as its anisotropy in amplitude and frequency due to the spin texture of the system. We finally draw the similarities and differences of the observed wave packet dynamic and the celebrated Zitterbewegung effect of the relativistic Dirac equation. |
| first_indexed | 2024-10-01T04:49:48Z |
| format | Journal Article |
| id | ntu-10356/170757 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:49:48Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1707572023-10-09T15:34:58Z Wave packet dynamics in synthetic non-Abelian gauge fields Hasan, Mehedi Madasu, Chetan Sriram Rathod, Ketan Damji Kwong, Chang Chi Miniatura, Christian Chevy, Frédéric Wilkowski, David School of Physical and Mathematical Sciences Social sciences Dynamics Aharonov-Bohm Effects It is generally admitted that in quantum mechanics, the electromagnetic potentials have physical interpretations otherwise absent in classical physics as illustrated by the Aharonov-Bohm effect. In 1984, Berry interpreted this effect as a geometrical phase factor. The same year, Wilczek and Zee generalized the concept of Berry phases to degenerate levels and showed that a non-Abelian gauge field arises in these systems. In sharp contrast with the Abelian case, spatially uniform non-Abelian gauge fields can induce particle noninertial motion. We explore this intriguing phenomenon with a degenerated Fermionic atomic gas subject to a two-dimensional synthetic SU(2) non-Abelian gauge field. We reveal the spin Hall nature of the noninertial dynamic as well as its anisotropy in amplitude and frequency due to the spin texture of the system. We finally draw the similarities and differences of the observed wave packet dynamic and the celebrated Zitterbewegung effect of the relativistic Dirac equation. Ministry of Education (MOE) Published version This work was supported by the CQT/MoE funding Grant No. R-710-002-016-271, and the Singapore Ministry of Education Academic Research Fund Tier1 Grant No. MOE2018-T1-001-027 and Tier2 Grant No. MOE-T2EP50220-0008. 2023-10-06T06:49:06Z 2023-10-06T06:49:06Z 2022 Journal Article Hasan, M., Madasu, C. S., Rathod, K. D., Kwong, C. C., Miniatura, C., Chevy, F. & Wilkowski, D. (2022). Wave packet dynamics in synthetic non-Abelian gauge fields. Physical Review Letters, 129(13), 130402-. https://dx.doi.org/10.1103/PhysRevLett.129.130402 0031-9007 https://hdl.handle.net/10356/170757 10.1103/PhysRevLett.129.130402 36206409 2-s2.0-85138804740 13 129 130402 en R-710-002-016-271 MOE2018-T1-001-027 MOE-T2EP50220-0008 Physical Review Letters © 2022 American Physical Society. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1103/PhysRevLett.129.130402 application/pdf |
| spellingShingle | Social sciences Dynamics Aharonov-Bohm Effects Hasan, Mehedi Madasu, Chetan Sriram Rathod, Ketan Damji Kwong, Chang Chi Miniatura, Christian Chevy, Frédéric Wilkowski, David Wave packet dynamics in synthetic non-Abelian gauge fields |
| title | Wave packet dynamics in synthetic non-Abelian gauge fields |
| title_full | Wave packet dynamics in synthetic non-Abelian gauge fields |
| title_fullStr | Wave packet dynamics in synthetic non-Abelian gauge fields |
| title_full_unstemmed | Wave packet dynamics in synthetic non-Abelian gauge fields |
| title_short | Wave packet dynamics in synthetic non-Abelian gauge fields |
| title_sort | wave packet dynamics in synthetic non abelian gauge fields |
| topic | Social sciences Dynamics Aharonov-Bohm Effects |
| url | https://hdl.handle.net/10356/170757 |
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