Aharonov-Bohm quantum phase influence on a non-Hermitian quantum system

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.