Engineer coherent oscillatory modes in Markovian open quantum systems

TL;DR

This paper introduces a new framework to engineer persistent oscillatory modes in Markovian open quantum systems by manipulating Hamiltonian and jump operators, enabling sustained coherence beyond traditional decoherence-free subspaces.

Contribution

The authors develop a novel method to create oscillatory modes in Lindblad systems with non-zero dissipators, extending beyond existing decoherence-free approaches.

Findings

Oscillatory modes arise when Hamiltonian and jump operators share a block-diagonal structure.

The framework identifies conditions for oscillations to be parameter-dependent or independent.

Demonstrations show tailored system-environment interactions can sustain coherent oscillations.

Abstract

We develop a novel framework to engineer persistent oscillatory modes in Markovian open quantum systems governed by a time-independent Lindblad master equation. We show that oscillatory modes can be created when the Hamiltonian and jump operator can be expressed in the same block-diagonal form. A key feature of the framework is that the dissipator of the Lindblad master equation are generally non-zero. We identify the weak and strong conditions, where the onset of the oscillatory modes is dependent and independent of the parameters of the system, respectively. Our method extends beyond the typical decoherence-free subspace approach, in which the dissipator is zero. We demonstrate the applicability of this framework using various models, showing how carefully tailored system-environment interactions can produce sustained coherent oscillations.