Geometric phase in PT-symmetric quantum mechanics

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.012103· OSTI ID:21440457

Jiangbin, Gong ^[1]; Qinghai, Wang ^[1]

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1. Department of Physics, National University of Singapore, Singapore 117542 (Singapore)

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.

• OSTI ID: 21440457
• Journal Information: Physical Review. A, Vol. 82, Issue 1; Other Information: DOI: 10.1103/PhysRevA.82.012103; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ADIABATIC PROCESSES
C INVARIANCE
GEOMETRY
HAMILTONIANS
METRICS
MONOPOLES
P INVARIANCE
QUANTUM MECHANICS
QUANTUM STATES
SYMMETRY
T INVARIANCE
TIME DEPENDENCE
UNITARITY
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM OPERATORS