Pseudo-fermionic coherent states with time-dependent metric

In this paper, we construct time-dependent pseudo-fermionic coherent states for non-Hermitian Hamiltonian systems. Our construction of pseudo-fermionic coherent states is based on an introduction of time-dependent pseudo-fermionic creation and annihilation operators subjected to time-dependent metrics such that the latter are integrals of motion. As an illustration, we study a time-dependent non-Hermitian two-level system.