Invariant-based master equation applied to driven qutrit coupled to a bath and a leaky cavity

Abstract:We employ a generalized approach to the master equation for driven open $N$-level ($N>2$) quantum systems using Lewis-Riesenfeld invariants, which avoids the driving-strength restrictions inherent to conventional approaches. We show that the invariant-based master equation provides a unifying generalized framework, which reduces to the frequently employed laboratory-frame master equations and the less frequently employed rotating-frame master equation framework under appropriate simplifications. Extending the prototypical two-level system, we show that the inclusion of another state coupled to the ground state via reservoir-induced dephasing gives rise to qualitatively new dissipative behaviors that are, in general, not captured by standard approximations. We also apply the invariant-based master equation framework to a driven quantum dot coupled to a leaky cavity, demonstrating the framework's ability to capture relevant dissipative dynamics without additional assumptions. Our work paves the way for quantum-control applications in the presence of dissipation.

Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas)

arXiv:2607.25005 [quant-ph]

(or arXiv:2607.25005v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.25005 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1103/lp44-ll2f Focus to learn more DOI(s) linking to related resources

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