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We propose a procedure to obtain exact analytical solutions to thetime-dependent Schr\"{o}dinger equations involving explicit time-dependentHermitian Hamitonians from solutions to time-independent non-HermitianHamiltonian systems and the time-dependent Dyson relation together with thetime-dependent quasi-Hermiticity relation. We illustrate the working of thismethod for a simple Hermitian Rabi-type model by relating it to a non-Hermitiantime-independent system corresponding to the one-site lattice Yang-Lee model.

Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians