Stochastic Interaction Monte-Carlo Wave-Function Method.

The Monte-Carlo Wave Function (MCWF) method allows for the numerical solution of the Lindblad equation using a quantum trajectory approach. This method was generalized by Piilo et. al to solve the more general non-Markovian local-in-time master equation. The generalized method is called the Non-Markovian Quantum Jumps (NMQJ) method. This new method suffers from some numerical and mathematical edge cases which make its application rather complicated.

In this work we propose the Stochastic Interaction Monte-Carlo Wave Function (SI-MCWF) method, which generalizes the MCWF method in a similar way to the NMQJ, but does not suffer from some of the same numerical and mathematical complications.