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Acta Physica Polonica A

Tunable Second-Order Sideband Effects Based on Dual-Species BEC-Optomechanical Systems

Liwei Liu, Guo-Heng Zhang, Xiang‐Li Wang, Xiu-Jia An, Haiyan Jiao

Published Jan 1, 2023• 0 citations
Publisher

Abstract

We theoretically investigate a second-order optomechanically induced transparency process of a cigar-shaped dual-species Bose–Einstein condensate with nonlinear collisions trapped inside an optomechanical cavity. We find that atomic collisions provide linear couplings, which facilitate the mechanical mixing of the dual-species Bose–Einstein condensate. We derive analytical expressions of the output transmission intensity of the probe field and the dimensionless amplitude of the second-order sideband. The numerical results show that the transmission intensity and the dimensionless amplitude of the second-order sideband can be controlled by the control field intensities, the effective detuning, and the effective coupling strength of the Bogoliubov mode of the dual-species Bose–Einstein condensate and optical mode. Furthermore, the interspecies and intraspecies interactions are also used to control the transmission intensity and the dimensionless amplitude of the second-order sideband.

DOI
10.12693/aphyspola.143.89

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We theoretically investigate a second-order optomechanically induced transparency process of a cigar-shaped dual-species Bose–Einstein condensate with nonlinear collisions trapped inside an optomechanical cavity. We find that atomic collisions provide linear couplings, which facilitate the mechanical mixing of the dual-species Bose–Einstein condensate. We derive analytical expressions of the output transmission intensity of the probe field and the dimensionless amplitude of the second-order sideband. The numerical results show that the transmission intensity and the dimensionless amplitude of the second-order sideband can be controlled by the control field intensities, the effective detuning, and the effective coupling strength of the Bogoliubov mode of the dual-species Bose–Einstein condensate and optical mode. Furthermore, the interspecies and intraspecies interactions are also used to control the transmission intensity and the dimensionless amplitude of the second-order sideband.
We theoretically investigated a second-order optomechanical-induced transparency (OMIT) process of a hybrid optomechanical system (COMS), which a Bose–Einstein condensate (BEC) in the presence of atom–atom interaction trapped inside a cavity with a moving end mirror. The advantage of this hybrid COMS over a bare COMS is that the frequency of the second mode is controlled by the s-wave scattering interaction. Based on the traditional linearization approximation, we derive analytical solutions for the output transmission intensity of the probe field and the dimensionless amplitude of the second-order sideband (SS). The numerical results show that the transmission intensity of the probe field and the dimensionless amplitude of the SS can be controlled by the s-wave scattering frequency. Furthermore, the control field intensities, the effective detuning, the effective coupling strength of the cavity field with the Bogoliubov mode are used to control the transmission intensity of the probe field and the dimensionless amplitude of the SS.
Abstract A novel technique for generating double optomechanically induced transparency (OMIT) in a weak probe field in an optomechanical system is proposed. This system consists of a cigar-shaped dual-species Bose–Einstein condensate which is trapped inside a high-finesse Fabry–Perot cavity. Analytical solutions are given for the absorption and dispersion spectra. The interspecies interaction and the coupling strengths have, as a result, the appearance of two distinct OMIT windows in the absorption spectrum. Furthermore, the coupling strengths, interspecies and intraspecies interaction strengths are used to control the OMIT behavior. We give a certain set of experimental parameters for observing these phenomena in the laboratory. The technique presented may have potential applications in quantum engineering and quantum information networks.
Abstract We theoretically study photothermally and optomechanically induced transparency in a hybrid system of two coupled Fabry-Peŕot cavities. The left cavity hosts a dual-species Bose-Einstein condensate driven by pump and probe fields, while the right cavity couples to a mechanical resonator via photothermal effects. By tuning intercavity, optomechanical, and condensate-cavity couplings, both single and multiple transparency windows emerge. Interspecies and intraspecies interactions, along with effective coupling parameters, govern the transparency conditions, while the photothermal coefficient shapes the profiles. Absorption and dispersion spectra reveal that strong coupling enhances slow-light effects and group delay. These findings provide insights into tunable light-matter interactions for optical communication and photonic applications.
We propose a novel technique of generating multiple optomechanically induced transparency (OMIT) of a weak probe field in hybrid optomechanical system. This system consists of a cigar-shaped Bose–Einstein condensate (BEC), trapped inside each high finesse Fabry-Pérot cavity. In the resolved sideband regime, the analytic solutions of the absorption and the dispersion spectrum are given. The tunneling strength of the two resonators and the coupling parameters of the each BEC in combination with the cavity field have the appearance of three distinct OMIT windows in the absorption spectrum. Furthermore, whether there is BEC in each cavity is a key factor in the number of OMIT windows determination. The technique presented may have potential applications in quantum engineering and quantum information networks.
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.
Cavity-optomechanics, a rapidly developing area of research, has made a remarkable progress. A stunning manifestation of optomechanical phenomena is in exploiting the mechanical effects of light to couple the optical degree of freedom with mechanical degree of freedom. In this report, we investigate the controlled bistable dynamics of such hybrid optomechanical system composed of cigar-shaped Bose-Einstein condensate (BEC) trapped inside high-finesse optical cavity with one moving-end mirror and is driven by a single mode optical field. The numerical results provide evidence for controlled optical bistability in optomechanics using transverse optical field which directly interacts with atoms causing the coupling of transverse field with momentum side modes, exited by intra-cavity field. This technique of transverse field coupling is also used to control bistable dynamics of both moving-end mirror and BEC. The report provides an understanding of temporal dynamics of moving-end mirror and BEC with respect to transverse field. Moreover, dependence of effective potential of the system on transverse field has also been discussed. To observe this phenomena in laboratory, we have suggested a certain set of experimental parameters. These findings provide a platform to investigate the tunable behavior of novel phenomenon like electromagnetically induced transparency and entanglement in hybrid systems.