Non-Markovianity in a collision model with environmental block

TL;DR

This paper introduces an extended collision model using environmental blocks to analyze non-Markovian dynamics in quantum systems, demonstrating how block size and state properties influence non-Markovianity in optical channels.

Contribution

It develops a novel collision model with environmental blocks, providing a necessary and sufficient condition for non-Markovianity in Gaussian channels and exploring effects of block properties.

Findings

Non-Markovianity depends on block size and entanglement.

Derived a criterion for non-Markovianity in Gaussian channels.

Heating and squeezing enhance non-Markovian effects.

Abstract

We present an extended collision model to simulate the dynamics of an open quantum system. In our model, the unit to represent the environment is, instead of a single particle, a block which consists of a number of environment particles. The introduced blocks enable us to study the effects of different strategies of system-environment interactions and states of the blocks on the non-Markovianities. We demonstrate our idea in the Gaussian channels of an all-optical system and derive a necessary and sufficient condition of non-Markovianity for such channels. Moreover, we show the equivalence of our criterion to the non-Markovian quantum jump in the simulation of the pure damping process of a single-mode field. We also show that the non-Markovianity of the channel working in the strategy that the system collides with environmental particles in each block in a certain order will be affected by the size of the block and the embedded entanglement and the effects of heating and squeezing the vacuum environmental state will quantitatively enhance the non-Markovianity.