Two-photon Rabi splitting and optical Stark effect in semiconductor microcavities

Carusotto, Iacopo; Rocca, G. C. La

doi:10.1103/physrevb.60.4907

Cited by 27 publications

(24 citation statements)

References 52 publications

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“…6(a) and 6(c)] and cavity a is pumped, the finite time-delayed second-order correlation functions given by the analytical expression of Eqs. (30) and (31) are in good agreement with those given by numerical simulations. When the driving strength is strong (32) [see Figs.…”

Section: Delayed Correlation Functionsupporting

confidence: 90%

“…6(b) and 6(d)], the analytical expression given by Eqs. (30) and (31) deviates from the numerical simulations. In addition, from Fig.…”

Section: Delayed Correlation Functioncontrasting

confidence: 60%

“…For each cavity mode, the three-dimensional cavity field φ j (r) must be normalized by | φ j (r)| 2 d 3 r = 1 (j = a,b). By the energy density formula in classical electrodynamics, H em = 1 2 [E(r,t)D(r,t) + H(r,t)B(r,t)]d 3 r, where H(r,t) = B(r,t)/μ 0 , an interaction Hamiltonian in the second quantization can be obtained [29,31],…”

Section: Model and Photon Blockadementioning

confidence: 99%

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Quantum optical diode with semiconductor microcavities

2014

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The semiconductor diode, which acts as an electrical rectifier and allows unidirectional electronic transports, is the key to information processing in integrated circuits. Analogously, an optical rectifier (or diode) working at specific target wavelengths has recently becomes a dreaming device in optical communication and signal processing. In this paper, we propose a scheme to realize an optical diode for photonic transport at the level of few photons. The system consists of two spatially overlapping single-mode semiconductor microcavities coupled via ${\chi ^{(2)}}$ nonlinearities. The photon blockade is predicted to take place in this system. These photon blockade effects can be achieved by tuning the frequency of the input laser field (driving field). Based on those blockades, we derive analytically the single- and two-photon current in terms of zero and finite-time delayed two-order correlation function. The results suggest that the system can serve as an single- and two-photon quantum optical diodes which allow transmission of photons in one direction much more efficiently than in the other.Comment: 13 pages, 6 figure

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Section: Delayed Correlation Functionsupporting

confidence: 90%

“…6(b) and 6(d)], the analytical expression given by Eqs. (30) and (31) deviates from the numerical simulations. In addition, from Fig.…”

Section: Delayed Correlation Functioncontrasting

confidence: 60%

Section: Model and Photon Blockadementioning

confidence: 99%

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Quantum optical diode with semiconductor microcavities

2014

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“…This approach has been already proven to be useful in studies of biexciton optics [9,18] as well as to describe the dynamics of atom-molecule conversion in ultracold atomic gases [12,13]. In contrast, we shall now focus on a spatially confined system where quantum fluctuations are instead strong and the mean-field approximation fails.…”

mentioning

confidence: 99%

Feshbach blockade: Single-photon nonlinear optics using resonantly enhanced cavity polariton scattering from biexciton states

Carusotto

Volz

İmamoğlu

2010

EPL

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Abstract. -We theoretically demonstrate how the resonant coupling between a pair of cavitypolaritons and a biexciton state can lead to a large single-photon Kerr nonlinearity in a semiconductor solid-state system. A fully analytical model of the scattering process between a pair of cavity-polaritons is developed, which explicitly includes the biexcitonic intermediate state. A dramatic enhancement of the polariton-polariton interactions is predicted in the vicinity of the biexciton Feshbach resonance. Application to the generation of non-classical light from polariton dots is discussed.A number of quantum optical applications crucially rely on having a strong value of the effective photon-photon interaction mediated by the optical nonlinearity of the atomic or solid-state medium. The most interesting quantum physics appears in fact when the presence of a single photon is sufficient to significantly modulate the response of a device. As a simplest example, a stream of strongly antibunched photons is emitted by a cavity as soon as the nonlinear shift of the resonance by a single photon is larger than the cavity linewidth [1,3]. This physics is even more intriguing when more complex devices are considered: photons have been predicted to fermionize into Tonks-Girardeau gases as soon as the impenetrability condition is satisfied in a one-dimensional geometry. To this end, both strongly nonlinear optical fibers [4] and arrays of many coupled nonlinear cavities [5] have been considered. Quantum phase transitions between a coherent phase of "superfluid" photons to a Mott insulator one have also attracted a significant interest [6]. So far, the main obstacle against an experimental realization of all these phenomena has been the lack of scalable optical devices with sufficiently large nonlinearities and weak enough losses.A great deal of the recent advances in the field of strongly correlated atomic gases have been made possible by the discovery of the so-called Feshbach resonance effect in atomatom collisions [7]: the scattering cross section is dramatically enhanced when the energy of the pair of colliding atoms is resonant with a long-lived quasi-bound molecular state. In typical experiments, an external magnetic field is used to tune the energy of the quasi-bound (a)

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“…The present paper contains a brief report of the nonlinear optical effects which can occur in a microcavity system when resonant second harmonic generation (SHG) or two-photon absorption (TPA) processes take place. Further details will be found in [4].…”

Section: Introductionmentioning

confidence: 99%

Two-Photon Rabi Splitting and Optical Stark Effect in Microcavities

Carusotto

Rocca

2000

phys. stat. sol. (a)

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We have investigated resonant two-photon absorption and second harmonic generation in a microcavity geometry. In a single beam arrangement, the transmission depends on the intensity according to a simple two-level picture with an intensity-dependent coupling; at resonance, in particular, the system exhibits a two-photon Rabi splitting. In a pump and probe arrangement, the presence of the strong incident pump beam substantially modifies the absorption spectrum of the weak probe beam: for moderate pump intensities the behaviour can be interpreted as a two-photon version of the well-known optical Stark effect. At higher intensities, more complicated hyper-Raman processes take place, which give also rise to gain in well-determined spectral regions. Finally, we have shown how the non-linear coupling coefficient appearing in the model Hamiltonian is related to the material constants and geometrical parameters of a specific microcavity configuration. IntroductionIn the last few years great attention has been focussed on the exploitation of light confinement effects in order to enhance the strength of the light±matter interaction. Linear optics in the strong-coupling regime between a photonic mode and an excitonic mode in a microcavity geometry [1] has been much studied. On the other hand, nonlinear optical effects still deserve further investigation. For instance, coherent saturation effects for excitonic transitions [2] and low-intensity optical switching [3] have been considered. The present paper contains a brief report of the nonlinear optical effects which can occur in a microcavity system when resonant second harmonic generation (SHG) or two-photon absorption (TPA) processes take place. Further details will be found in [4].

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Two-photon Rabi splitting and optical Stark effect in semiconductor microcavities

Cited by 27 publications

References 52 publications

Quantum optical diode with semiconductor microcavities

Quantum optical diode with semiconductor microcavities

Feshbach blockade: Single-photon nonlinear optics using resonantly enhanced cavity polariton scattering from biexciton states

Two-Photon Rabi Splitting and Optical Stark Effect in Microcavities

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