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

Abstract

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.

Controllable four-wave mixing based on quantum dot-cavity coupling system

“…In the past few years, cavity optomechanics [1][2][3][4] has been subject to many theoretical and experimental attention, and a series of developments have been made. Many interesting phenomena have been researched in various cavity optomechanical systems, such as optical bistability [5][6][7][8][9][10][11][12], optomechanically induced transparency [13][14][15][16][17][18], second-order sideband [19][20][21], higher-order sidebands [22,23], slow and fast light [24][25][26][27][28], quantum ground state cooling [29][30][31][32], four-wave mixing (FWM) [33][34][35][36][37] and so on.…”