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Time-invariant PT product and phase locking in PT -symmetric lattice models
Physical Review A
Over the past decade, non-Hermitian, PT-symmetric Hamiltonians have been investigated as candidates for both, a fundamental, unitary, quantum theory, and open systems with a non-unitary time evolution. In this paper, we investigate the implications of the former approach in the context of the latter. Motivated by the invariance of the PT (inner) product under time evolution, we discuss the dynamics of wave-function phases in a wide range of PT-symmetric lattice models. In particular, wedoi:10.1103/physreva.97.012128 fatcat:t7ygmp5fsvbxvcymi6aonklfse