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Title: Geometric phase in PT-symmetric quantum mechanics
Authors: Gong, J. 
Wang, Q.-H. 
Issue Date: 13-Jul-2010
Citation: Gong, J., Wang, Q.-H. (2010-07-13). Geometric phase in PT-symmetric quantum mechanics. Physical Review A - Atomic, Molecular, and Optical Physics 82 (1) : -. ScholarBank@NUS Repository.
Abstract: Unitary evolution in PT-symmetric quantum mechanics (QM) with a time-dependent metric is found to yield an interesting class of adiabatic processes. As an explicit example, a Berry-like phase associated with a PT-symmetric two-level system is derived and is interpreted as the flux of a fictitious monopole with a tunable charge plus a singular string component with nontrivial phase contributions. To gain more insight, the Hermitian analog of our non-Hermitian problem is also analyzed, which results in an intriguing class of geometric-phase problems in conventional QM as well, where the Hamiltonian includes a perturbative term that is proportional to the rate of change in adiabatic parameters. © 2010 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.82.012103
Appears in Collections:Staff Publications

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