Description of the non-Markovian dynamics of atoms in terms of a pure state

TL;DR

This paper introduces an iterative pure state algorithm to model non-Markovian atomic dynamics, overcoming the limitations of the quantum master equation in memory-intensive and long-term memory scenarios.

Contribution

The paper presents a novel iterative algorithm for simulating non-Markovian atomic dynamics using pure states, applicable to photonic and chemical processes.

Findings

Algorithm accurately models atom-environment interactions with photon exchange.

Preserves quantum coherence in the simulation.

Applicable to a wide range of photonic and chemical processes.

Abstract

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in the environment. An iterative algorithm for modeling the dynamics of an atomic system in the extended Tavis-Cummings model in terms of a pure state is proposed. The correctness of this algorithm is shown on the example of the interaction of an atomic system with the environment through the exchange of photons with the preservation of coherence. This algorithm is applicable to a wide class of processes associated with photonic machinery, in particular, to chemical reactions.