Non-Markovian quantum dynamics: Extended correlated projection superoperators

TL;DR

This paper introduces an extended correlated projection superoperator method for non-Markovian quantum dynamics, allowing tailored superoperators for different initial states, demonstrated through a simple model with efficient numerical simulations.

Contribution

It develops a new approach extending correlated projection superoperators to handle various initial states in non-Markovian quantum systems.

Findings

Method effectively captures non-Markovian effects.

Numerical simulations confirm efficiency and power.

Applicable to simple quantum models.

Abstract

The correlated projection superoperator techniques provide a better understanding about how correlations lead to strong non-Markovian effects in open quantum systems. Their superoperators are independent of initial state, which may not be suitable for some cases. To improve this, we develop a new approach, that is extending the composite system before use the correlated projection superoperator techniques. Such approach allows choosing different superoperators for different initial states. We apply these techniques to a simple model to illustrate the general approach. The numerical simulations of the full Schr\"{o}dinger equation of the model reveal the power and efficiency of the method.