Gain-modified emission dynamics between two quantum emitters in a plasmonic gain cavity system

Fuente: arXiv
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Autori principali: VanDrunen, Becca, Ren, Juanjuan, Franke, Sebastian, Hughes, Stephen
Natura: Preprint
Pubblicazione: 2025
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author VanDrunen, Becca
Ren, Juanjuan
Franke, Sebastian
Hughes, Stephen
author_facet VanDrunen, Becca
Ren, Juanjuan
Franke, Sebastian
Hughes, Stephen
contents We present a general theory of gain-modified emission dynamics between two quantum emitters (two level systems) in a linear gain medium, demonstrating how gain modifies the usual radiative decay rates and inter-emitter coupling and decay rates, that are well known from purely lossy systems. We derive a Born-Markov master equation that shows explicitly how gain modifies the usual rates appearing for two emitters in a loss only medium, and introduces new gain terms. We then present Bloch equations in the bare state basis as well as a dressed-state basis (using superradiant and subradiant states). As an application of the theory, we show calculations for a fully three-dimensional metal dimer in a gain-compensated medium, containing two quantum emitters, and show explicit solutions in terms of the quasinormal modes, which easily allows one to obtain all the relevant decay rates. We study the modified decay dynamics, gain excited pumping, as well as the entanglement entropy and spectral emission. We also demonstrate how a breakdown of the weak excitation approximation in the presence of gain requires a careful treatment beyond a linear response, which yields non-trivial incoherent coupling terms that typically are not included in dipole-dipole coupling models or heuristic gain pumping models.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13610
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gain-modified emission dynamics between two quantum emitters in a plasmonic gain cavity system
VanDrunen, Becca
Ren, Juanjuan
Franke, Sebastian
Hughes, Stephen
Quantum Physics
Optics
We present a general theory of gain-modified emission dynamics between two quantum emitters (two level systems) in a linear gain medium, demonstrating how gain modifies the usual radiative decay rates and inter-emitter coupling and decay rates, that are well known from purely lossy systems. We derive a Born-Markov master equation that shows explicitly how gain modifies the usual rates appearing for two emitters in a loss only medium, and introduces new gain terms. We then present Bloch equations in the bare state basis as well as a dressed-state basis (using superradiant and subradiant states). As an application of the theory, we show calculations for a fully three-dimensional metal dimer in a gain-compensated medium, containing two quantum emitters, and show explicit solutions in terms of the quasinormal modes, which easily allows one to obtain all the relevant decay rates. We study the modified decay dynamics, gain excited pumping, as well as the entanglement entropy and spectral emission. We also demonstrate how a breakdown of the weak excitation approximation in the presence of gain requires a careful treatment beyond a linear response, which yields non-trivial incoherent coupling terms that typically are not included in dipole-dipole coupling models or heuristic gain pumping models.
title Gain-modified emission dynamics between two quantum emitters in a plasmonic gain cavity system
topic Quantum Physics
Optics
url https://arxiv.org/abs/2503.13610