# Quantum non-Markovian piecewise dynamics from collision models

## TL;DR

This paper introduces a quantum collision model with memory that explicitly reproduces a broad class of non-Markovian piecewise dynamics in open quantum systems, linking microscopic interactions to observed non-Markovian behavior.

## Contribution

It provides the first explicit microscopic collision model realization of non-Markovian piecewise quantum dynamics with memory effects.

## Key findings

- The collision model reproduces the non-Markovian dynamics in the continuous-time limit.
- It links microscopic collision processes to macroscopic non-Markovian behavior.
- The model offers a new way to simulate and understand quantum memory effects.

## Abstract

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in terms of a waiting-time distribution between quantum jumps, along with quantum maps describing the effect of jumps and the system's evolution between them. Here, we present a quantum collision model with memory, whose reduced dynamics in the continuous-time limit reproduces the above class of non-Markovian piecewise dynamics, thus providing an explicit microscopic realization.