Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian

For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions. The approach is based on the Heisenberg equations of motion and operator calculus. The special and limiting cases are discussed.

Automated summary

Exact matrix elements of the reduced density matrix for a prototype quadratic Hamiltonian describing a driven, dissipative system are obtained from a generating function using normal characteristic functions. The approach is based on Heisenberg equations of motion and operator calculus, with special and limiting cases discussed.