Controllable Four-Wave Mixing Based on Hybrid BEC-Optomechanical Systems |
| L.W. Liua, b, D.J. Gengzanga, Y.Q. Shia, Q. Chena, X.L. Wanga, P.Y. Wanga
aCollege of Electrical Engineering, Northwest Minzu University, Lanzhou 730000, China bKey Laboratory for Electronic Materials of the State Ethnic Affairs Commission of PRC, Northwest Minzu University, Lanzhou 730000, China |
| Received: February 18, 2019; revised version July 21, 2019; in final form July 24, 2019 |
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| 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 end-mirror. 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. |
DOI:10.12693/APhysPolA.136.444 topics: Four-wave mixing, Bose-Einstein Condensate, Cavity Optomechanical |