Geometric Phase in PT-Symmetric Quantum Mechanics

Details Geometric Phase in PT-Symmetric Quantum Mechanics Geometric Phase in PT-Symmetric Quantum Mechanics

2010-03-16

arxiv.org/abs/1003.3076v1

Phys. Rev. A 82, 012103 (2010)

Physics

Quantum Physics

5 pages, no figures, comments welcome

Scientific paper

Unitary evolution in PT-symmetric quantum mechanics with a time-dependent metric is found to yield a new class of adiabatic processes. As an explicit example, a Berry-like phase associated with a PT-symmetric two-level system is derived and interpreted as the flux of a fictitious monopole with a tunable charge plus a singular string component with non-trivial phase contributions. The Hermitian analog of our results is also discussed.

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