Many-body phenomena in QED-cavity arrays [Invited]

Tomadin, Andrea; Fazio, Rosario

doi:10.1364/josab.27.00a130

Cited by 122 publications

(152 citation statements)

References 51 publications

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“…(6,7). In practice this condition implies achieving low-excitation density limit n pol ≪ 1 discussed above.…”

Section: Dispersion Relations and Group Velocitiesmentioning

confidence: 99%

“…As the number of two-level atoms increases, collective effects, due to the field mediated interactions of atoms among themselves, can be described by the Dicke Hamiltonian and give rise to intriguing many-body phenomena [5]. Apart from a single cavity configuration, cavity-QED arrays composed by engineered optical cavities modes, few-level atoms and laser light modes, may serve as a many-body system for light [6]. Novel quantum phase transitions of light, from Mott-insulator, glassy, to super-solid states have been demonstrated to analyze critical quantum phenomena in conventional condensed matter systems by manipulating the interaction between photons and atoms [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Solitons in cavity-QED arrays containing interacting qubits

et al. 2012

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We reveal the existence of polariton soliton solutions in the array of weakly coupled optical cavities, each containing an ensemble of interacting qubits. An effective complex Ginzburg-Landau equation is derived in the continuum limit taking into account the effects of cavity field dissipation and qubit dephasing. We have shown that an enhancement of the induced nonlinearity can be achieved by two order of the magnitude with a negative interaction strength which implies a large negative qubit-field detuning as well. Bright solitons are found to be supported under perturbations only in the upper (optical) branch of polaritons, for which the corresponding group velocity is controlled by tuning the interacting strength. With the help of perturbation theory for solitons, we also demonstrate that the group velocity of these polariton solitons is suppressed by the diffusion process.

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“…(6,7). In practice this condition implies achieving low-excitation density limit n pol ≪ 1 discussed above.…”

Section: Dispersion Relations and Group Velocitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solitons in cavity-QED arrays containing interacting qubits

et al. 2012

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“…Among them are ultracold gases of atoms trapped in optical lattices [1,2,3] and light-matter systems [4,5,6,7,8]. The latter consist of light modes which are confined in coupled cavity arrays.…”

Section: Introductionmentioning

confidence: 99%

Polaritonic properties of the Jaynes–Cummings lattice model in two dimensions

Knap¹,

Arrigoni²,

Linden³

2011

Computer Physics Communications

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Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures. This leads to intriguing effects, such as the quantum phase transition from the Mott to the superfluid phase. Here, we address the two-dimensional Jaynes-Cummings lattice model. We evaluate the boundary of the quantum phase transition and study polaritonic properties. In order to be able to characterize polaritons, we investigate the spectral properties of both photons as well as two-level excitations. Based on this information we introduce polariton quasiparticles as appropriate wavevector, band index, and filling dependent superpositions of photons and two-level excitations. Finally, we analyze the contributions of the individual constituents to the polariton quasiparticles.

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“…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.…”

mentioning

confidence: 99%

“…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.…”

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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Many-body phenomena in QED-cavity arrays [Invited]

Cited by 122 publications

References 51 publications

Solitons in cavity-QED arrays containing interacting qubits

Solitons in cavity-QED arrays containing interacting qubits

Polaritonic properties of the Jaynes–Cummings lattice model in two dimensions

Spontaneous collective coherence in driven dissipative cavity arrays

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