Relevance of the Quadratic Diamagnetic and Self-Polarization Terms in Cavity Quantum Electrodynamics

Schäfer, Christian; Ruggenthaler, Michael; Rokaj, Vasil; Rubio, Ángel

doi:10.1021/acsphotonics.9b01649

Cited by 169 publications

(270 citation statements)

References 138 publications

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“…ω 2 is absent due to the E • r gauge that is adopted in Ref. [106], which is appropriate for our weak coupling scenario, but has to be adjusted at extreme coupling strengths [126][127][128].…”

Section: B Linear Dispersion Theory and Relation To The Layer Formalismmentioning

confidence: 99%

Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt

Heeg

Keitel

et al. 2020

Phys. Rev. Research

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We develop two ab initio quantum approaches to thin-film x-ray cavity quantum electrodynamics with spectrally narrow x-ray resonances, such as those provided by Mössbauer nuclei. The first method is based on a few-mode description of the cavity, and promotes and extends existing phenomenological few-mode models to an ab initio theory. The second approach uses analytically known Green's functions to model the system. The two approaches not only enable one to ab initio derive the effective few-level scheme representing the cavity and the nuclei in the low-excitation regime, but also provide a direct avenue for studies at higher excitation, involving nonlinear or quantum phenomena. The ab initio character of our approaches further enables direct optimizations of the cavity structure and thus of the photonic environment of the nuclei, to tailor the effective quantum optical level scheme towards particular applications. To illustrate the power of the ab initio approaches, we extend the established quantum optical modeling to resonant cavity layers of arbitrary thickness, which is essential to achieve quantitative agreement for cavities used in recent experiments. Further, we consider multilayer cavities featuring electromagnetically induced transparency, derive their quantum optical few-level systems ab initio, and identify the origin of discrepancies in the modeling found previously using phenomenological approaches as arising from cavity field gradients across the resonant layers.

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Section: B Linear Dispersion Theory and Relation To The Layer Formalismmentioning

confidence: 99%

Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt

Heeg

Keitel

et al. 2020

Phys. Rev. Research

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“…1. The fundamental limitations of the fewlevel approximation have been presented in a variety of recent publications 16,23,26,43,44 . While this approximation results in a strongly simplified problem, it has the advantage that exact numerical results, although nontrivial to obtain, are still achievable with a reasonable computational effort.…”

Section: Electron-photon Correlated Systemsmentioning

confidence: 99%

Benchmarking semiclassical and perturbative methods for real-time simulations of cavity-bound emission and interference

Hoffmann

Schäfer

Säkkinen

et al. 2019

The Journal of Chemical Physics

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We benchmark a selection of semiclassical and perturbative dynamics techniques by investigating the correlated evolution of a cavity-bound atomic system to assess their applicability to study problems involving strong light-matter interactions in quantum cavities. The model system of interest features spontaneous emission, interference, and strong coupling behaviour, and necessitates the consideration of vacuum fluctuations and correlated light-matter dynamics. We compare a selection of approximate dynamics approaches including fewest switches surface hopping, multi-trajectory Ehrenfest dynamics, linearized semiclasical dynamics, and partially linearized semiclassical dynamics. Furthermore, investigating self-consistent perturbative methods, we apply the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy in the second Born approximation. With the exception of fewest switches surface hopping, all methods provide a reasonable level of accuracy for the correlated light-matter dynamics, with most methods lacking the capacity to fully capture interference effects.Here we broaden our scope by investigating the performance of a comprehensive class of approximate quantum dynamics methods for simulating spontaneous emission in an optical cavity, including Ehrenfest meanfield theory 33,34 , Tully's surface hopping algorithm 35 , fully linearized 36 and partially linearized 37,38 semilclassical dynamics techniques, and a selection of approximate closures for the quantum mechanical Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. Through benchmark comparisons with exact numerical results, we assess the accuracy and efficiency of each method and highlight the possibilities and theoretical challenges involved with extending these approaches towards realistic systems.The remainder of this work is divided into four sections: Sec. II gives a short overview of general quantum mechanical arXiv:1909.07177v2 [quant-ph]

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“…Including the term improves some mathematical properties of the dipole approximation, in particular in large computational boxes and/or for very large coupling strengths [28,33,81]. However, it should also be remembered here that in realistic cavities capable of reaching few-emitter strong coupling, the dominant interaction term is due to longitudinal fields, for which this term does not exist (see discussion in subsection 2.1).…”

Section: Multipolar Couplingmentioning

confidence: 99%

Macroscopic QED for quantum nanophotonics: emitter-centered modes as a minimal basis for multiemitter problems

2020

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We present an overview of the framework of macroscopic quantum electrodynamics from a quantum nanophotonics perspective. Particularly, we focus our attention on three aspects of the theory that are crucial for the description of quantum optical phenomena in nanophotonic structures. First, we review the light–matter interaction Hamiltonian itself, with special emphasis on its gauge independence and the minimal and multipolar coupling schemes. Second, we discuss the treatment of the external pumping of quantum optical systems by classical electromagnetic fields. Third, we introduce an exact, complete, and minimal basis for the field quantization in multiemitter configurations, which is based on the so-called emitter-centered modes. Finally, we illustrate this quantization approach in a particular hybrid metallodielectric geometry: two quantum emitters placed in the vicinity of a dimer of Ag nanospheres embedded in a SiN microdisk.

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Relevance of the Quadratic Diamagnetic and Self-Polarization Terms in Cavity Quantum Electrodynamics

Cited by 169 publications

References 138 publications

Ab initio quantum models for thin-film x-ray cavity QED

Ab initio quantum models for thin-film x-ray cavity QED

Benchmarking semiclassical and perturbative methods for real-time simulations of cavity-bound emission and interference

Macroscopic QED for quantum nanophotonics: emitter-centered modes as a minimal basis for multiemitter problems

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