Quantum master equation, Lindblad-type of dissipation and temperature dependent Monte Carlo wave-function propagation

So-called quantum-trajectory techniques have been introduced to reveal single-quantum system dynamics contained in the average ensemble description. Main application could be addressed to quantum optics of single atoms where one usually starts with the Lindblad-type of density matrix equations. Here, emphasis is put on the dissipative dynamics of molecular systems. The derivation of a temperature-dependent quantum-trajectory technique is presented starting from the widely used quantum master equation (QME) for the reduced density operator. Different applications of the resulting Monte Carlo wavefunction (MCWF) method being valid for molecular systems are given