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

Motazedifard, Ali; Dalafi, A.; Naderi, M. H.; Roknizadeh, R.

doi:10.1016/j.aop.2018.07.013

Cited by 42 publications

(56 citation statements)

References 94 publications

(112 reference statements)

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“…As is seen from figure (3) and as is expected from equation (35), for each value of ω sw there is an optimum value for the pump amplitude which minimizes the added noise. By increasing the s-wave scattering frequency, the effective frequency of the Bogoliubov mode increases which leads to the increase of the optimum value of η max based on the equation (35) and the decrease of the minimum of the added noise n add (0). In this way, for lager values of ω sw the minimum of the onresonance added noise gets lower.…”

Section: Resultssupporting

confidence: 53%

“…In this way, the effective frequency of the Bogoliubov mode can be measured in terms of the transverse frequency of the optical trap of the BEC which can be calibrated based on the the amount of splitting between the normal modes of the transmitted field of the cavity. So, by knowing the effective frequency of the Bogoliubov mode, one can obtain the optimum value of the pump amplitude as well as the minimum value of the on-resonance added noise necessary for a back action evading measurement through equations (35) and (36), respectively.…”

Section: Resultsmentioning

confidence: 99%

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Back-action evading measurement of the collective mode of a Bose–Einstein condensate

Fani

Dalafi

2020

J. Opt. Soc. Am. B

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In this paper, we investigate theoretically the back-action evading measurement of the collective mode of an interacting atomic Bose-Einstein condensate (BEC) trapped in an optical cavity which is driven coherently by a pump laser with a modulated amplitude. It is shown that for a specified kind of amplitude modulation of the driving laser, one can measure a generalized quadrature of the collective mode of the BEC indirectly through the output cavity field with a negligible backaction noise in the good-cavity limit. Nevertheless, the on-resonance added noise of measurement is suppressed below the standard quantum limit (SQL) even in the bad cavity limit. Moreover, the measurement precision can be controlled through the s-wave scattering frequency of atomic collisions.

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Section: Resultssupporting

confidence: 53%

Section: Resultsmentioning

confidence: 99%

Back-action evading measurement of the collective mode of a Bose–Einstein condensate

Fani

Dalafi

2020

J. Opt. Soc. Am. B

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“…As has been shown in Ref. [30], based on the Routh-Hurwitz criterion for the optomechanical stability condition, the parameters λ m and λ d should satisfy the condition…”

Section: Dynamics Of the Systemmentioning

confidence: 96%

“…During the past decade, optomechanical systems (OMSs), in which the electromagnetic radiation pressure is coupled to a mechanical oscillator (MO) as a macroscopic object, have been developed [3][4][5][6] for the purpose of testing the fundamentals of physics like the Bell test [7] and emergence of quantum effects in macro scale. Also, OMSs have been applied to a wide variety of research fields including ultra precision force sensing [8], MO ground-state cooling [9][10][11], generation of bipartite entanglement [12][13][14], synchronization of MOs [15][16][17][18][19], generation of mechanical/optical nonclassical states [20][21][22][23][24], quantum simulation of the parametric dynamical Casimir effect (DCE) [25][26][27][28][29][30] as well as the curved space-time [31], and generation of squeezing [32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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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.

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“…On the other hand, we have shown in a very recent work [30] that the parametric modulations of the mechanical and atomic modes in such a hybrid system can lead to the realization of the parametric DCE of photons and phonons. However, in the present paper we investigate some other features of the system, including controllable realization of strong quadrature squeezing together with complementary-quadrature amplification, added-noise suppression, and controllable increasing of the gain-bandwidth.…”

Section: Introductionmentioning

confidence: 95%

Strong quadrature squeezing and quantum amplification in a coupled Bose–Einstein condensate—optomechanical cavity based on parametric modulation

et al. 2019

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We consider an optomechanical cavity with a movable end-mirror as a quantum mechanical oscillator (MO) containing an interacting cigar-shaped Bose-Eisenstein condensate (BEC). It is assumed that both the MO and the BEC interact with the radiation pressure of the cavity field in the red-detuned and weak coupling regimes while the two-body atomic collisions frequency of the BEC and the mechanical spring coefficient of the MO are coherently modulated. By analyzing the scattering matrix we find that a frequency-dependent squeezing is induced to the three subsystems only due to the coherent modulations. In the largely different cooperativities regime together with strong modulations, the mechanical mode of the MO and the Bogoliubov mode of the BEC exhibit quadrature squeezing which can surpass the so-called 3dB limit (up to 75 dB) with high robustness to the thermal noises. Surprisingly, in this regime by controlling the system and modulation parameters, a very high degree of squeezing (up to 16 dB) together with high purity of quantum state for the output cavity field is achievable. Furthermore, one can attain simultaneous strong quantum amplification, added-noise suppression, and controllable gain-bandwidth for the complementary quadratures of squeezed ones in the subsystems.

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

Cited by 42 publications

References 94 publications

Back-action evading measurement of the collective mode of a Bose–Einstein condensate

Back-action evading measurement of the collective mode of a Bose–Einstein condensate

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

Strong quadrature squeezing and quantum amplification in a coupled Bose–Einstein condensate—optomechanical cavity based on parametric modulation

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