Geometric Phase in PT-Symmetric Quantum Mechanics

Abstract

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.

5 pages, no figures, comments welcome

References in corpus (6)

• Making Sense of Non-Hermitian Hamiltonians
• PT-Symmetric Wave Chaos
• Time-Dependent Pseudo-Hermitian Hamiltonians Defining a Unitary Quantum System and Uniqueness of the Metric Operator
• Time evolution of non-Hermitian Hamiltonian systems
• Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
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