Luminescence spectra of quantum dots in microcavities. III. Multiple quantum dots

Laussy, Fabrice P.; Laucht, Arne; Valle, Elena del; Finley, Jonathan J.; Villas‐Bôas, J. M.

doi:10.1103/physrevb.84.195313

Cited by 36 publications

(34 citation statements)

References 81 publications

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“…These are precisely the same energies that are obtained in the linear regime [30,31], by treating the operatorŝ σ i as bosons, and naturally reduce to the purely real eigenenergies of the Hamiltonian as γ a and γ σ go to zero. From demanding that the modified Rabi frequency R 1 be real at zero detuning the linear strong coupling condition is derived:…”

Section: Strong Coupling Criterion and The Complex Eigenenergiesmentioning

confidence: 57%

“…This can be done by writing a Lindblad master equation for the density operator of the system that accounts for coherent emission of photons (with rate γ a ) and spontaneous emission of the emitters (with rate γ σ ). Such master equation is given by [31]:…”

Section: Dissipative Dynamicsmentioning

confidence: 99%

“…The evolution of the closed systems was systematically investigated in [27][28][29]. The dynamics of the system in the linear regime was also investigated in [30,31] and the evolution of the correlation functions as the system goes from one to several emitters was recently discussed in [32]. regime was explored for the case of two resonant excitons in separated quantum dots and whose Rabi constants are quite similar was presented in [33].…”

Section: Introductionmentioning

confidence: 99%

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Strong coupling of two quantum emitters to a single light mode: The dissipative Tavis-Cummings ladder

Quesada

2012

Phys. Rev. A

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A criterion for strong coupling between two quantum emitters and a single resonant light mode in a cavity is presented. The criterion takes into account the escape of cavity photons and the spontaneous emission of the emitters, which are modeled as two level systems. By using such criterion, the dissipative Tavis-Cummings ladder of states is constructed, and it is shown that the inclusion of one more emitter with respect to the Jaynes-Cummings (single emitter) case increases the effective parameter region in which n th order Rabi splitting is observed.

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Section: Strong Coupling Criterion and The Complex Eigenenergiesmentioning

confidence: 57%

Section: Dissipative Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strong coupling of two quantum emitters to a single light mode: The dissipative Tavis-Cummings ladder

Quesada

2012

Phys. Rev. A

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“…1(a) we show the population, n a = a † a , and second-order coherence function of a single cavity, g (2) = a † a † aa / a † a as a function of P σ . In the strong coupling regime (γ a , γ σ g) where we carry out our investigations, one distinguishes [17]: the linear and quantum regimes at low pump (g (2) < 1) [19,20,36], the lasing regime (g (2) = 1), and the self-quenching and thermal regimes at high pump (1 < g (2) ≤ 2). In this work, we focus on the lasing regime, where the emitter population is half-inverted,…”

Section: Fig 1 (Color Online) (A)mentioning

confidence: 99%

“…For a single cavity our model reduces to the previously considered and realized one-emitter laser [13][14][15][16][17]. Generalizations of this single cavity model have also been studied for two [18] and multiple emitters [19][20][21] or emitters supporting multiexciton states [22].We focus our analysis on the build-up of first-order coherence between the fields in distant cavities as this quantity is typically considered for investigating long range order and the emergence of superfluidity, e.g. in optical lattices [23].…”

mentioning

confidence: 99%

Spontaneous collective coherence in driven dissipative cavity arrays

Ruiz-Rivas¹,

Valle²,

Gies³

et al. 2014

Phys. Rev. A

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We study an array of dissipative tunnel-coupled cavities, each interacting with an incoherently pumped two-level emitter. For cavities in the lasing regime, we find correlations between the light fields of distant cavities, despite the dissipation and the incoherent nature of the pumping mechanism. These correlations decay exponentially with distance for arrays in any dimension but become increasingly long ranged with increasing photon tunneling between adjacent cavities. The interaction-dominated and the tunneling-dominated regimes show markedly different scaling of the correlation length which always remains finite due to the finite photon trapping time. We propose a series of observables to characterize the spontaneous build-up of collective coherence in the system. Arrays of optical or microwave cavities, each interacting strongly with quantum emitters and mutually coupled via the exchange of photons, have been introduced as prototype setups for the study of quantum manybody physics of light [1][2][3]. Even though ground or thermal equilibrium states of the corresponding quantum many-body systems are challenging to generate in experiments, much of the initial attention has focussed on this regime [4][5][6][7]. In any realistic experiment with cavity arrays, however, photons are dissipated due to the imperfect confinement of the light, and emitter excitations have finite lifetimes. It is thus crucial and useful to explore the driven-dissipative regime of these structures, where photon losses are continuously compensated by pumping new photons into the cavities. A special role is here taken by the stationary states where photon pumping and losses balance each other in a dynamical equilibrium. This regime has thus received considerable attention in recent years, where coherent and strongly correlated phases have been discovered [8][9][10], but also analogies to quantum Hall physics [11] and topologically protected quantum states [12] have been discussed.In previous investigations of coupled cavity arrays in driven-dissipative regimes, the pump mechanism that injects photons into the array has been assumed to be a coherent drive at each cavity [8][9][10][11][12]. Therefore any phase-coherence between light fields in distant cavities that was seen in these studies can at least in part be attributed to the fixed phase relation between their coherent input drives. Here, in contrast, we show that such a coherence between distant cavities can build up spontaneously, triggered only by physical processes within the array. In this way we address the question of whether a non-equilibrium superfluid can develop in these structures. To this end, we consider a cavity array that is only driven by an incoherent pump which explicitly avoids any external source for a preferred phase relation between photons in different cavities.In our model, each cavity strongly interacts with a twolevel emitter. Whereas both, emitters and cavity photons, are subject to dissipation processes, the cavities are excited via the emitters only, whi...

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Conventional and Unconventional Photon Statistics

Casalengua

Carreño

Laussy

et al. 2020

Laser & Photonics Reviews

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The photon statistics emitted by a large variety of light‐matter systems under weak coherent driving can be understood, to lowest order in the driving, in the framework of an admixture of (or interference between) a squeezed state and a coherent state, with the resulting state accounting for all bunching and antibunching features. One can further identify two mechanisms that produce resonances for the photon correlations: i) conventional photon blockade describes cases that involve a particular quantum level or set of levels in the excitation/emission processes with interferences occurring to all orders in the photon numbers, while ii) unconventional photon blockade describes cases where the driving laser is far from resonance with any level and the interference occurs for a particular number of photons only, yielding stronger correlations but only for a definite number of photons. Such an understanding and classification allows for a comprehensive and transparent description of the photon statistics from a wide range of disparate systems, where optimum conditions for various types of photon correlations can be found and realized.

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Luminescence spectra of quantum dots in microcavities. III. Multiple quantum dots

Cited by 36 publications

References 81 publications

Strong coupling of two quantum emitters to a single light mode: The dissipative Tavis-Cummings ladder

Strong coupling of two quantum emitters to a single light mode: The dissipative Tavis-Cummings ladder

Spontaneous collective coherence in driven dissipative cavity arrays

Conventional and Unconventional Photon Statistics

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