Please use this identifier to cite or link to this item: https://doi.org/10.1088/1751-8113/46/48/485302
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dc.titleTime-dependent PT -symmetric quantum mechanics
dc.contributor.authorGong, J.
dc.contributor.authorWang, Q.-H.
dc.date.accessioned2014-10-16T09:46:47Z
dc.date.available2014-10-16T09:46:47Z
dc.date.issued2013-12-06
dc.identifier.citationGong, J., Wang, Q.-H. (2013-12-06). Time-dependent PT -symmetric quantum mechanics. Journal of Physics A: Mathematical and Theoretical 46 (48) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1751-8113/46/48/485302
dc.identifier.issn17518113
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/98412
dc.description.abstractThe parity-time-reversal (PT )-symmetric quantum mechanics (QM) (PTQM) has developed into a noteworthy area of research. However, to date, most known studies of PTQM focused on the spectral properties of non-Hermitian Hamiltonian operators. In this work, we propose an axiom in PTQM in order to study general time-dependent problems in PTQM, e.g., those with a timedependent PT -symmetric Hamiltonian and with a time-dependent metric. We illuminate our proposal by examining a proper mapping from a timedependent Schrodinger-like equation of motion for TQM to the familiar timedependent Schrodinger equation in conventional QM. The rich structure of the proper mapping hints that time-dependent PTQM can be a fruitful extension of conventional QM. Under our proposed framework, we further study in detail the Berry-phase generation in a class of PT -symmetric two-level systems. It is found that a closed path in the parameter space of PTQM is often associated with an open path in a properly mapped problem in conventional QM. In one interesting case, we further interpret the Berry phase as the flux of a continuously tunable fictitious magnetic monopole, thus highlighting the difference between PTQM and conventional QM despite he existence of a proper mapping between them. © 2013 IOP Publishing Ltd Printed in the UK and the USA.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1088/1751-8113/46/48/485302
dc.description.sourcetitleJournal of Physics A: Mathematical and Theoretical
dc.description.volume46
dc.description.issue48
dc.description.page-
dc.identifier.isiut000327720300009
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