Reconciling quantum and classical spectral theories of ultrastrong coupling: Role of cavity bath coupling and gauge corrections

• URL: http://arxiv.org/abs/2309.15788v2
• Date: Thu, 28 Sep 2023 01:54:11 GMT
• Title: Reconciling quantum and classical spectral theories of ultrastrong coupling: Role of cavity bath coupling and gauge corrections
• Authors: Stephen Hughes, Chris Gustin, and Franco Nori
• Abstract summary: We show how the linear spectrum of an ultrastrongly coupled cavity and a dipole can be described either classically or quantum mechanically. We also show the impact of this bath model on the quantum Rabi model, which has no classical analogue in ultrastrong coupling.
• Score: 0.5852077003870417
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Focusing on the widely adopted Hopfield model with cavity dissipation, we show how the linear spectrum of an ultrastrongly coupled cavity and a dipole can be described either classically or quantum mechanically, but only when the quantum model includes (i) corrections to maintain gauge invariance, and (ii) a specific type of cavity bath coupling. We also show the impact of this bath model on the quantum Rabi model, which has no classical analogue in ultrastrong coupling.

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