A Lindblad master equation capable of describing hybrid quantum systems in the ultra-strong coupling regime

Abstract

Despite significant theoretical efforts devoted to studying the interaction between quantized light modes and matter, the so-called ultra-strong coupling regime still presents significant challenges for theoretical treatments and prevents the use of many common approximations. Here we demonstrate an approach that can describe the dynamics of hybrid quantum systems in any regime of interaction for an arbitrary electromagnetic (EM) environment. We extend a previous method developed for few-mode quantization of arbitrary systems to the case of ultrastrong light-matter coupling, and show that even such systems can be treated using a Lindblad master equation where decay operators act only on the photonic modes by ensuring that the effective spectral density of the EM environment is sufficiently suppressed at negative frequencies. We demonstrate the validity of our framework and show that it outperforms current state-of-the-art master equations for a simple model system, and then study a realistic nanoplasmonic setup where existing approaches cannot be applied.

6 pages, 4 figures, letter

References in corpus (10)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Extraordinary exciton conductance induced by strong coupling
• Input-output theory of cavities in the ultra-strong coupling regime: the case of a time-independent vacuum Rabi frequency
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Ultrastrong Coupling in the Near-field of Complementary Split Ring Resonators
• Casimir-Polder forces on excited atoms in the strong atom-field coupling regime
• Cumulant expansion for the treatment of light-matter interactions in arbitrary material structures
• Few-mode Field Quantization for Multiple Emitters
• Gauge-Independent Emission Spectra and Quantum Correlations in the Ultrastrong Coupling Regime of Open System Cavity-QED
• Can we observe non-perturbative vacuum shifts in cavity QED?

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