Phase space representation of non-Hermitian system with $\mathcal{P}\mathcal{T}$-symmetry

Ludmila Praxmeyer, Popo Yang, Ray-Kuang Lee

We present a phase space study of non-Hermitian Hamiltonian with $\mathcal{P}\mathcal{T}$-symmetry based on the Wigner distribution function. For an arbitrary complex potential, we derive a…