Please use this identifier to cite or link to this item:
https://doi.org/10.1088/1674-1056/ac0521
DC Field | Value | |
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dc.title | Geometry of time-dependent PT -symmetric quantum mechanics | |
dc.contributor.author | Zhang, DJ | |
dc.contributor.author | Wang, QH | |
dc.contributor.author | Gong, J | |
dc.date.accessioned | 2022-06-07T05:43:52Z | |
dc.date.available | 2022-06-07T05:43:52Z | |
dc.date.issued | 2021-10-01 | |
dc.identifier.citation | Zhang, DJ, Wang, QH, Gong, J (2021-10-01). Geometry of time-dependent PT -symmetric quantum mechanics. Chinese Physics B 30 (10) : 105202-105202. ScholarBank@NUS Repository. https://doi.org/10.1088/1674-1056/ac0521 | |
dc.identifier.issn | 1674-1056 | |
dc.identifier.issn | 2058-3834 | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/226615 | |
dc.description.abstract | A new type of quantum theory known as time-dependent PT -symmetric quantum mechanics has received much attention recently. It has a conceptually intriguing feature of equipping the Hilbert space of a PT -symmetric system with a time-varying inner product. In this work, we explore the geometry of time-dependent PT -symmetric quantum mechanics. We find that a geometric phase can emerge naturally from the cyclic evolution of a PT -symmetric system, and further formulate a series of related differential-geometry concepts, including connection, curvature, parallel transport, metric tensor, and quantum geometric tensor. These findings constitute a useful, perhaps indispensible, tool to investigate geometric properties of PT -symmetric systems with time-varying system's parameters. To exemplify the application of our findings, we show that the unconventional geometric phase [Phys. Rev. Lett. 91 187902 (2003)], which is the sum of a geometric phase and a dynamical phase proportional to the geometric phase, can be expressed as a single geometric phase unveiled in this work. | |
dc.publisher | IOP Publishing | |
dc.source | Elements | |
dc.type | Article | |
dc.date.updated | 2022-06-07T01:10:33Z | |
dc.contributor.department | PHYSICS | |
dc.description.doi | 10.1088/1674-1056/ac0521 | |
dc.description.sourcetitle | Chinese Physics B | |
dc.description.volume | 30 | |
dc.description.issue | 10 | |
dc.description.page | 105202-105202 | |
dc.published.state | Published | |
Appears in Collections: | Elements Staff Publications |
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