Open Quantum Systems Coupled to Time-Dependent Classical Environments

We investigate the behavior of open quantum systems interacting with classical time-dependent environments. As a simple example, we employ a two-level quantum system, and a thermodynamic oscillator serves as an environment. We analyze how the relationship between parameters of the classical environment and the quantum subsystem changes the evolution. Using the nonlinear thermodynamic master equation, we demonstrate how the energy of the quantum system evolves in time and how feedback effects from a quantum to a classical system influences the dynamics.