Exact non-Markovian evolution with multiple reservoirs

TL;DR

This paper derives exact non-Markovian evolution equations for multi-level systems interacting with multiple reservoirs, generalizing previous single-peak results to multiple Lorentz peaks and including Ohmic spectral contributions.

Contribution

It extends the exact non-Markovian evolution framework to systems with multiple spectral peaks and Ohmic contributions, without relying on the Markov approximation.

Findings

Derived finite set of linear differential equations for multi-reservoir systems

Generalized previous single-peak models to multiple Lorentz peaks

Included Ohmic spectral density contributions

Abstract

The model of a multi-level system interacting with several reservoirs is considered. The exact reduced density matrix evolution could be obtained for this model without Markov approximation. Namely, this evolution is fully defined by the finite set of linear differential equations. In this work the results which were obtained previously for only one Lorentz peak in the spectral density are generalized to the case of an arbitrary number of such peaks. The case of the Ohmic contribution in the spectral density is also taken here into account.