Steady-State Coherences under Partial Collective non-Markovian Decoherence

TL;DR

This paper investigates how partial collective and individual non-Markovian decoherence affect steady-state coherence in quantum systems, revealing complex behaviors and dependence on initial states, with implications for quantum technology modeling.

Contribution

It provides an analytical study of a two-oscillator system under tunable collective and individual non-Markovian decoherence, highlighting the role of non-Markovianity in steady-state coherence.

Findings

Steady-state coherence depends on initial states under collective decoherence.

Non-Markovianity induces complex and rich coherence behaviors.

The results serve as benchmarks for quantum process modeling.

Abstract

Steady-state coherence in open quantum systems is crucial for quantum technologies, yet its behavior is not fully understood due to the interplay between collective and individual decoherence. While collective decoherence is thought to induce steady-state coherence, experiments often fail to observe this because of individual decoherence. We study a system of two harmonic oscillators coupled to both individual and collective environments, introducing a tunable parameter to adjust the decoherence proportions. By analytically solving the exact dynamical equations, we find that steady-state coherence depends on the initial state under collective decoherence, but not under partial decoherence. Interestingly, non-Markovianity induces rich and complex steady-state coherence behaviors. Our results offer new insights into the role of non-Markovian decoherence in quantum systems and serve as a benchmark for evaluating approximate methods in modelling quantum processes.