Relaxation of excited states of an emitter near a metal nanoparticle: An analysis based on superradiance theory

Protsenko, Igor E.; Uskov, Alexander V.; Рудой, В. М.

doi:10.1134/s1063776114080147

Cited by 7 publications

(6 citation statements)

References 29 publications

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“…, where V dd is matrix element of operator of a dipole-dipole interaction energy of the emitter and the nanoparticle [10]. Following [10] we write equations of motion for probability amplitudes:…”

Section: Single Emitter Near Nanoparticlementioning

confidence: 99%

“…We suppose a "short-distance" limit: k LP R r ≪ 1, where r is a distance between center of the nanoparticle and the emitter, a wavenumber k LP R = 2πn 0 /λ LP R , n 0 is refractive index of a medium containing the nanoparticle and the emitter, λ LP R is LPR wavelength in vacuum. It is shown in [10] that in the short-distance limit…”

Section: Matrix Element Of D + Dp Ismentioning

confidence: 99%

“…Well-known expressions for γ r , Γ r and expression for Ω p followed from Eqs. ( 21) and ( 22) of [10] in the short-distance limit for configuration as in Fig. 1, are:…”

Section: Estimations Of Radiation Powermentioning

confidence: 99%

“…In the first Section we present quantum-mechanical description, in Schrodinger picture, of the radiation of single emitter near the nanoparticle using equations derived in [10] and in early papers cited in [10]. Section 1 provides necessary background for Section 2, in particular, the way of calculations of quantum states of an emitter near the nanoparticle.…”

Section: Introductionmentioning

confidence: 99%

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Collective spontaneous emission of two atoms near metal nanoparticle

Protsenko,

Uskov

2014

Preprint

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We present quantum-mechanical approach for collective spontaneous emission (superradiance) of emitters (as atoms) near metal nanoparticle, when frequencies of transitions of emitters coincide with frequency of localized plasmon resonance of the nanoparticle. Our approach is based on Schrodinger description and it uses wave functions of states of systems. Interactions between emitters and between the nanoparticle and emitters are taken into account. We consider an example of two emitters and show that radiation is occurred through symmetric states of emitters as it is in Dicke model of superradiance. The nanoparticle accelerates collective spontaneous emission similar how it accelerates spontaneous emission of single emitter. Radiation from two emitters near the nanoparticle is faster than the radiation from two separated and non-interacted "nanoparticle+single emitter" systems. Efficiency of superradiance, i.e. the ratio of emitted photons to total number initial excitations in the system, is smaller than 1 due to non-radiative losses in the nanoparticle. However the efficiency is the same for single and for two emitters near the nanoparticle. The approach can be straightforwardly generalized to the case of many emitters near the nanoparticle.

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Section: Single Emitter Near Nanoparticlementioning

confidence: 99%

Section: Matrix Element Of D + Dp Ismentioning

confidence: 99%

“…Well-known expressions for γ r , Γ r and expression for Ω p followed from Eqs. ( 21) and ( 22) of [10] in the short-distance limit for configuration as in Fig. 1, are:…”

Section: Estimations Of Radiation Powermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Collective spontaneous emission of two atoms near metal nanoparticle

Protsenko,

Uskov

2014

Preprint

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“…As far as the enhancement of the field response is an important problem for using plasmonic devices, it seems influential to study SR of atoms interacting with plasmonic structures. For example, nowadays effects such as SR of atoms and molecules near nanostructures [29,30], SR of plasmonic metamolecules [31,32], and SR in micro-and nanolasers based on quantum dots [33,34] are extensively studied. SR phenomenon could be extremely important for the creation of active plasmonic devices, such as nanolasers [35][36][37], spasers [24,26,38,39], and distributed feedback lasers [23,[40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Superradiance enhancement by bad-cavity resonator

et al. 2017

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In this work we consider the dynamics of an ensemble of two-level atoms that interact with finite-width resonator mode. The superradiant burst occurs under a wide range of parameters in such a system. However, if the initial phase distribution of dipole moments of N two-level atoms is random, not all atoms take part in the superradiant process, but only the part of them that results in the intensity of supperradiance ∼ α I N , where α < 2. In this paper we investigate the dependence of the parameter α on the resonator mode decay rate. It is shown that there is a critical value of resonator mode decay rate that divides two different regimes of superradiance. If the decay rate is lower than the critical rate, superradiance demonstrates a multi-peak character and the number of dipoles forming superradiant burst increases while α grows from 1 to 2. When the decay rate is larger than the critical value there is a single-peak superradiant regime. The delay time dependence on N changes from power to logarithmic law at the critical decay rate. The existence of the optimal value of resonator decay rate can be used for superradiance enhancement by a resonator with finite losses.

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Analytical Expression for the Relaxation Rate of Emitter-Near-Metal Nanoparticles

Fedorovich

Protsenko

2014

J Russ Laser Res

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Relaxation of excited states of an emitter near a metal nanoparticle: An analysis based on superradiance theory

Cited by 7 publications

References 29 publications

Collective spontaneous emission of two atoms near metal nanoparticle

Collective spontaneous emission of two atoms near metal nanoparticle

Superradiance enhancement by bad-cavity resonator

Analytical Expression for the Relaxation Rate of Emitter-Near-Metal Nanoparticles

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