<p>In this work, we examine the evolution of an asymmetric squeezed Schrödinger cat state subjected to photon-loss processes described by a non-Hermitian Hamiltonian. The model allows us to follow how dissipation, squeezing, and asymmetry jointly shape the state’s quantum characteristics as it evolves in time. By employing a Fock-space formulation, we obtain analytical expressions for several key indicators and track their behavior under the dissipative dynamics, including the photon-number distribution, second-order correlation function, quadrature squeezing, Wigner–Yanase skew information, Husimi Q- function, and optical phase distribution. The results show that the balance between asymmetry and squeezing plays a decisive role in determining the persistence of quantum coherence and the rate at which non-classical features decay. These findings provide clearer insight into controlling fragile quantum states in open optical systems and may support future applications in precision measurements and quantum information technologies.</p>