Analysis demonstrates the effect of the Aharonov-Bohm phase on energy eigenvalues and currents in this quantum system, indicating unique behaviors.
We study the influence of the Aharonov-Bohm quantum phase on a quantum system described by a non-Hermitian Hamiltonian. We show that a non-Hermitian Hamiltonian has real energy eigenvalues which are influenced by the Aharonov-Bohm quantum phase. In addition, we show that persistent currents can arise. Finally, we calculate the revival times in this two-dimensional system and show that they are influenced by Aharonov-Bohm quantum phase.
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K. Bakke (2026) studied this question.
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