Non-adiabatic effects in periodically driven-dissipative open quantum systems

Abstract

We present a general method to calculate the quasi-stationary state of a driven-dissipative system coupled to a transmission line (and more generally, to a reservoir) under periodic modulation of its parameters. Using Floquet's theorem, we formulate the differential equation for the system's density operator which has to be solved for a single period of modulation. On this basis we also provide systematic expansions in both the adiabatic and high-frequency regime. Applying our method to three different systems -- two- and three-level models as well as the driven nonlinear cavity -- we propose periodic modulation protocols of parameters leading to a temporary suppression of effective dissipation rates, and study the arising non-adiabatic features in the response of these systems.

arXiv comment12 pages, 8 figures

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Cited by in corpus (12)

• Exact solution of time-dependent Lindblad equations with closed algebras
• Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
• Periodically-driven facilitated high-efficiency dissipative entanglement with Rydberg atoms
• Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
• Quantum information geometry of driven CFTs
• Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
• High-frequency expansions for time-periodic Lindblad generators
• Critical phenomena and nonlinear dynamics in a spin ensemble strongly coupled to a cavity. I. Semiclassical approach
• Statistical periodicity in driven quantum systems: General formalism and application to noisy Floquet topological chains
• Transmission spectra of the driven, dissipative Rabi model in the USC regime
• Adaptive Rotating-Wave Approximation for Driven Open Quantum Systems
• Floquet-state cooling