A quantum non-Markovian collision model: incoherent swap case

TL;DR

This paper extends a collision-model framework for non-Markovian quantum dynamics by incorporating incoherent partial swap operations and temperature effects, providing explicit dynamical maps for specific quantum systems.

Contribution

It introduces a new collision model with incoherent swap interactions and includes temperature as a parameter, expanding the understanding of non-Markovian quantum processes.

Findings

Model accommodates temperature variations in non-Markovian dynamics

Explicit dynamical maps derived for Jaynes-Cummings systems

Framework generalizes previous collision models with intra-bath collisions

Abstract

We have recently presented a collision-model-based framework to approach non-Markovian quantum dynamics [Ciccarello F Palma G M and Giovannetti V 2013 Phys. Rev. A 87, 040103(R)]. As a distinctive feature, memory is introduced in a dynamical way by adding extra inter-ancillary collisions to a standard (memoryless) collision model. Here, we focus on the case where such intra-bath collisions are described by incoherent partial swap operations. After briefly reviewing the model, we show how to include temperature as an additional parameter by relaxing the assumption that each bath ancilla is initially in a pure state. We also calculate explicitly the dynamical map entailed by the master equation in the paradigmatic instance of a Jaynes-Cummings system-ancilla coupling.