Stochastic wave-function unravelling of the generalized Lindblad equation using correlated states

Abstract

We perform a stochastic wave-function unravelling of the generalized Lindblad master equation using correlated states, a combination of the system state vectors and the environment population. The time-convolutionless projection operator method using correlated projection superoperators is applied to a two-state system, a qubit, that is coupled to an environment consisting of two energy bands which are both populated. These results are compared to the data obtained from Monte Carlo wave-function simulations based on the unravelling of the master equation. We also show a typical quantum trajectory and the average time evolution of the state vector on the Bloch sphere.

Stochastic wave-function unravelling of the generalized Lindblad equation

“…( 6) in order to describe the evolution of the concrete physical system, presented in the next section. It is worth noting that the main difference from the case presented in [22] is taking into account the diffusive terms. Moreover, the appearance of such terms induces the timedependent rates in the simulations.…”

“…( 6). This model has been proposed in [14] and different special cases were studied in [16,17,22,26].…”

“…In [22] the jumps with the state-independent intensities have been discussed. Unlike [22], here we study the influence of diffusion components and of jumps with state-dependent intensities.…”