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Nanophotonics, Micro/Nano Optics, and Plasmonics

Asymmetric spectral features of a three level /\ system coupled to a spherical silver metal nanoparticle

Abhay Mishra

Published Nov 27, 2022• 0 citations
Publisher

Abstract

The metal nanoparticle (MNP) can lead to significant reshaping of spectral features in the three level Λ system. For this a master equation is derived with the Born-Markov approximation, but in place of bare states, it’s the dressed states transitions which are coupled to reservoir. This master equation gives many new interesting terms which are not present in traditionally derived master equations. The dressed state-reservoir coupling results in sampling of Local density of states (LDOS) by the dressed state transitions causing asymmetricity in the spectrum.

DOI
10.1117/12.2642008

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The metal nanoparticle (MNP) can lead to significant reshaping of spectral features in the three level Λ system. For this a master equation is derived with the Born-Markov approximation, but in place of bare states, it’s the dressed states transitions which are coupled to reservoir. This master equation gives many new interesting terms which are not present in traditionally derived master equations. The dressed state-reservoir coupling results in sampling of Local density of states (LDOS) by the dressed state transitions causing asymmetricity in the spectrum.
The master equation for a two-level atom driven by a strong classical field and damped into a tailored reservoir with nonflat density of modes is derived under the Born-Markov approximation. To derive the master equation, the dressing transformation on the atomic operators is performed first, and, next, the dressed operators are coupled to the reservoir and the corresponding damping rates are calculated. The effects of a strong field and/or structured reservoir are seen as nonstandard terms in the master equation, some of which are reminiscent of terms known for squeezed vacuum reservoirs. The master equation leads to the generalized optical Bloch equations that can easily be solved for the steady state and, together with the quantum regression theorem, allow for analytical expressions for the fluorescence, as well as absorption spectra.
The generalized master equation for a two-level atom driven by a strong classical field and damped into a ‘tailored’ reservoir with a non-flat density of modes is derived under the Born-Markov approximation. To derive the master equation the dressing transformation on the atomic operators is performed first and next the dressed operators are coupled to the reservoir and the corresponding damping rates are calculated. The modifications introduced by a strong field and/or by the reservoir with the non-flat density of modes lead to non-standard terms in the master equation, some of which are reminiscent of terms known for squeezed vacuum reservoirs. The optical Bloch equations based on this generalized master equation are obtained and solved for the steady state. The solutions are discussed from the point of view of both bare and dressed atoms. Analytical formulas for the fluorescence and probe absorption spectra are obtained and illustrated graphically.
The generalized master equation for a two-level atom driven by a strong classical e eld and damped into a 'tailored' reservoir with a non-e at density of modes is derived under the Born-Markov approximation. To derive the master equation the dressing transformation on the atomic operators is performed e rst and next the dressed operators are coupled to the reservoir and the corresponding damping rates are calculated. The modie cations introduced by a strong e eld and/or by the reservoir with the non-e at density of modes lead to non-standard terms in the master equation, some of which are reminiscent of terms known for squeezed vacuum reservoirs. The optical Bloch equations based on this generalized master equation are obtained and solved for the steady state. The solutions are discussed from the point of view of both bare and dressed atoms. Analytical formulas for the e uorescence and probe absorption spectra are obtained and illustrated graphically.
A two level atom driven by a strong resonant field and coupled to a structured reservoir is studied. The generalized master equation describing the evolution of the atom is derived under the Born-Markov approximation. To derive the master equation the dressing transformation on the atomic operators is performed first and next the dressed operators are coupled to the reservoir and the corresponding damping rates are calculated. The modifications introduced by a strong field and/or by the reservoir with non-flat density of modes lead to non-standard terms in the master equation, some of which are reminiscent of terms known for squeezed vacuum reservoirs although the reservoir is not a squeezed vacuum. The optical Bloch equations based on this generalized master equation are obtained and solved for the steady state. The resonance fluorescence spectra of the atom are shortly discussed.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
We theoretically study the resonance fluorescence spectrum of a three-level quantum emitter coupled to a spherical metallic nanoparticle. We consider the case in which the quantum emitter is driven by a single laser field along one of the optical transitions. We show that the development of the spectrum depends on the relative orientation of the dipole moments of the optical transitions in relation to the metal nanoparticle. In addition, we demonstrate that the location and width of the peaks in the spectrum are strongly modified by the exciton-plasmon coupling and the laser detuning, allowing one to achieve a controlled strongly subnatural spectral line. A strong antibunching of the fluorescent photons along the undriven transition is also obtained. Our results may be used for creating a tunable source of photons which could be used for a probabilistic entanglement scheme in the field of quantum information processing.
Abstract A generalized master equation is derived here for a hybrid three level Λ-type quantum emitter-metal nanoparticle (MNP) system in the presence of strong external fields. With this new master equation, we show the spectral reshaping of the fluorescence peaks leading to asymmetric peak heights. This asymmetricity is attributed to dressed state-reservoir coupling and strong coherent fields. The coupling of reservoir with dressed states results in different sampling of local density of states (LDOS) of the vacuum field by dressed state transitions, giving different transition probabilities to each peak. We have further explored the directional features of the resonance fluorescence spectrum in the hybrid system. These observations of spectral reshaping in a three-level-MNP system opens new directions for studying tunable electromagnetically induced transparency utilizing ‘tailored vacuum’ in quantum plasmonics.