LAUSR

We extend the Dodonov–Malkin–Man’ko–Trifonov (DMMT) invariant method (Malkin et al. Phys. Rev. D 2 , 1371 1 , J. Math. Phys. 14 , 576 2 ; Dodonov et al. Int. J. Theor. Phys. 14 , 37 3 ; Dodonov and Man’ko Phys. Rev. A 20 , 550 4 ) to time-dependent pseudo-fermionic systems by introducing ladder invariant operators (time-dependent integrals of motion) which play the role of time-dependent pseudo-fermionic operators and constructing time-dependent pseudo-fermionic coherent states (PFCS) for such systems. As illustrative example, we study in details the time-dependent parity-time-symmetric two-level system under synchronous combined modulations. We explicitly determine time-dependent pseudo-fermionic operators and construct time-dependent PFCS for this physical system. We show that our approach can be extended to time-dependent pseudo-bosonic systems.