Dissipation in the Broadband and Ultrastrong Coupling Regimes of Cavity Quantum Electrodynamics: An \emph{Ab Initio} Quantized Quasinormal Mode Approach

• URL: http://arxiv.org/abs/2507.21408v1
• Date: Tue, 29 Jul 2025 00:31:50 GMT
• Title: Dissipation in the Broadband and Ultrastrong Coupling Regimes of Cavity Quantum Electrodynamics: An \emph{Ab Initio} Quantized Quasinormal Mode Approach
• Authors: Chris Gustin, Juanjuan Ren, Sebastian Franke, Stephen Hughes,
• Abstract summary: Phenomenological approaches to photon loss have long been the workhorse of cavity-QED, but prove inadequate in the presence of sufficiently broadband light-matter interactions.<n>We present a rigorous and emphab initio derivation of a quantum master equation for a quantized optical cavity mode coupled to a dipole.<n>We identify a new criterion for what we term the broadband'' dissipative regime of cavity-QED, where emphfundamental limits to single-mode models in extreme coupling regimes.
• Score: 1.785648159920035
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Phenomenological approaches to photon loss have long been the workhorse of cavity-QED, but prove inadequate in the presence of sufficiently broadband light-matter interactions. We present a rigorous and \emph{ab initio} derivation of a quantum master equation for a quantized optical cavity mode coupled to a dipole, using a quasinormal mode (QNM) quantization procedure for plasmonic and dielectric open-system cavity-QED, which is valid in broadband light-matter interaction regimes, including ultrastrong coupling (USC). The theory supports general three-dimensional resonators with arbitrary dispersion and loss, and thus can be applied to a wide range of open cavities. Our \emph{ab initio} and gauge-invariant approach fully recovers the recent result of Phys. Rev. Lett. 134, 123601 (2025) for the spectral density of a quantized cavity with a single dipole, exhibits a dissipative classical-quantum correspondence for bosonic Hopfield model systems, and reveals important departures from previous heuristic assumptions about system-bath coupling. We identify a new criterion for what we term the ``broadband'' dissipative regime of cavity-QED, where phenomenological models require corrections in accordance with the intrinsic and spatially-dependent complex phase of the QNM, and also shed light on \emph{fundamental limits} to single-mode models in extreme coupling regimes. Using plasmonic and dielectric cavity examples, we show validity ranges of our QNM master equation and spectral USC calculations, and discuss prospects for near-term experimental observation of broadband dissipative effects.

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