Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate

Dalafi, A.; Naderi, M. H.

doi:10.1103/physreva.95.043601

Cited by 30 publications

(30 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As has been shown in Ref. [65], in the case of η/G 0 1 the effect of this term is negligible. Therefore, we will ignore the CK term in our calculations.…”

Section: B Second Quantized Hamiltonian Of the Becsupporting

confidence: 63%

Controllable generation of photons and phonons in a coupled Bose–Einstein condensate-optomechanical cavity via the parametric dynamical Casimir effect

Motazedifard¹,

Dalafi²,

Naderi³

et al. 2018

Annals of Physics

Self Cite

View full text Add to dashboard Cite

We theoretically propose and investigate a feasible experimental scheme for the realization of the dynamical Casimir effect (DCE) in a hybrid optomechanical cavity with a moving end mirror containing an interacting cigar-shaped Bose-Einstein condensate (BEC). We show that in the red-detuned regime of cavity optomechanics together with the weak optomechanical coupling limit by coherent modulation of the s-wave scattering frequency of the BEC and the mechanical spring coefficient of the mechanical oscillator (MO), the mechanical and atomic quantum vacuum fluctuations are parametrically amplified, which consequently lead to the generation of the mechanical/Bogoliubov-type Casimir phonons. Interestingly, in the coherent regime corresponding to the case of largely different optomechanical coupling strengths of the cavity field to the BEC and the MO, or equivalently largely different cooperativities, one can generate a large number of Casimir photons due to the amplification of the intracavity vacuum fluctuations induced by the time modulations of the BEC and the MO. The number of generated Casimir particles are externally controllable by the cooperativities, and the modulation amplitudes of the atomic collisions rate and the mechanical spring coefficient.

show abstract

“…As has been shown in Ref. [65], in the case of η/G 0 1 the effect of this term is negligible. Therefore, we will ignore the CK term in our calculations.…”

Section: B Second Quantized Hamiltonian Of the Becsupporting

confidence: 63%

Controllable generation of photons and phonons in a coupled Bose–Einstein condensate-optomechanical cavity via the parametric dynamical Casimir effect

Motazedifard¹,

Dalafi²,

Naderi³

et al. 2018

Annals of Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this section, we first discuss the optical bistable behavior of the steady-state photon number ω 0 of the cavity field, phonon number |X 0 | 2 of the collective oscillation of the BEC, and the phonon number |q 0 | 2 of the mechanical resonator according to Eq. (12). Furthermore, we investigate the four wave mixing based on the numerical solutions of Eq.…”

Section: Resultsmentioning

confidence: 99%

“…There are many kinds of optomechanical systems, such us: two fixed mirrors [3], one fixed and another movable [4], a micro-mechanical membrane oscillating [5] and a Bose-Einstein condensate (BEC) inside two fixed cavity, and so on [6,7]. Recently, optical bistability has been extensively studied in the optomechanical systems [8][9][10][11][12]. On the one hand, the optical bistability can be obtained in the optomechanical system, where the cavity field is coupled to the mechanical resonator via the radiation pressure.…”

Section: Introductionmentioning

confidence: 99%

Controllable Four-Wave Mixing Based on Hybrid BEC-Optomechanical Systems

et al. 2019

View full text Add to dashboard Cite

We theoretically investigate the four-wave mixing (FWM) process based on hybrid optomechanical systems consisting of a cigar-shaped Bose-Einstein condensate (BEC), trapped inside an optical cavity with a moving endmirror. We can use a strong control field driving the cavity to control the bistable behavior of the steady-state photon number, the phonon number of the collective oscillation of the BEC and the phonon number of the mechanical resonator. Furthermore, we show how optomechanically induced transparency (OMIT) in the hybrid optomechanical systems can be used to control the four-wave mixing and enhance the intensity of the four-wave mixing. The calculated results show that the effect of the four-wave mixing can be controlled effectively by the pump strength, the frequency difference between the BEC and the moving end mirror, cavity decay rate, and effective coupling strength of the optical field with the moving mirror. Finally, the number peak of FWM can be controlled by modulating the frequency difference between the BEC and the moving end mirror and effective coupling strength of the optical field with the moving mirror.

show abstract

“…On the other hand, recently proposed hybrid optomechanical cavities containing Bose-Einstein condensates (BECs) [52][53][54] in which the fluctuation of the collective excitation of the BEC, i.e., Bogoliubov mode, behaves like an effective mechanical mode [52] and the nonlinear atom-atom interaction simulates an atomic amplifier [55,56], have more controllability and can increase the quantum effects at macroscopic level [57][58][59][60][61]. Besides, such hybrid systems are suitable for reduction of quantum noise [62] or can act as a quantum amplifier/squeezer [63].…”

Section: Introductionmentioning

confidence: 99%

Force sensing in hybrid Bose-Einstein-condensate optomechanics based on parametric amplification

et al. 2019

Self Cite

View full text Add to dashboard Cite

In this paper, the scheme of a force sensor is proposed which has been composed of a hybrid optomechanical cavity containing an interacting cigar-shaped Bose-Einstein condensate (BEC) where the s-wave scattering frequency of the BEC atoms as well as the spring coefficient of the cavity moving end-mirror (the mechanical oscillator) are parametrically modulated. It is shown that in the red-detuned regime and under the so-called impedance-matching condition, the mechanical response of the system to the input signal is enhanced substantially which leads to the amplification of the weak input signal while the added noises of measurement (backaction noises) can be suppressed and lowered much below the standard quantum limit (SQL). Furthermore, because of its large mechanical gain, such a modulated hybrid system is a much better amplifier in comparison to the (modulated) bare optomechanical system which can generate a stronger output signal while keeping the sensitivity nearly the same as that of the (modulated) bare one. The other advantages of the presented nonlinear hybrid system accompanied with the mechanical and atomic modulations in comparison to the bare optomechanical cavities are its controllability as well as the extension of amplification bandwidth.

show abstract

Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate

Cited by 30 publications

References 38 publications

Controllable generation of photons and phonons in a coupled Bose–Einstein condensate-optomechanical cavity via the parametric dynamical Casimir effect

Controllable generation of photons and phonons in a coupled Bose–Einstein condensate-optomechanical cavity via the parametric dynamical Casimir effect

Controllable Four-Wave Mixing Based on Hybrid BEC-Optomechanical Systems

Force sensing in hybrid Bose-Einstein-condensate optomechanics based on parametric amplification

Contact Info

Product

Resources

About