Breakdown signatures of the phenomenological Lindblad master equation in the strong optomechanical coupling regime

Abstract

The Lindblad form of the master equation has proven to be one of the most convenient ways to describe the impact of an environment interacting with a quantum system of interest. For single systems the jump operators characterizing these interactions usually take simple forms with a clear interpretation. However, for coupled systems these operators take significantly different forms and the full dynamics cannot be described by jump operators acting on the individual subsystems only. In this work, we investigate the differences between a common phenomenological model for the master equation and the more rigorous dressed-state master equation for optomechanical systems. We provide an analytical method to obtain the absorption spectrum of the system for both models and show the breakdown of the phenomenological model in both the bad cavity and the ultra-strong coupling limit. We present a careful discussion of the indirect dephasing of the optical cavity in both models and its role in the differences of their predicted absorption spectra. Our work provides a simple experimental test to determine whether the simpler phenomenological model can be used to describe the system and is a step forward toward a better understanding of the role of the coupling between subsystems for open-quantum-system dynamics.

12 pages, 3 figures

References in corpus (5)

• Microscopic derivation of the Jaynes-Cummings model with cavity losses
• Cavity-Assisted Back Action Cooling of Mechanical Resonators
• Quantum coherence in ultrastrong optomechanics
• Quantum optical master equation for solid-state quantum emitters
• Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models

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• Effective description of cooling and thermal shifts in quantum systems coupled to bosonic modes
• Lindblad master equations for quantum systems coupled to dissipative bosonic modes