In the conventional scheme of generating strong mechanical squeezing by the joint effect between mechanical parametric amplification and sideband cooling, the resolved sideband condition is required so as to overcome the quantum backaction heating. In the unresolved sideband regime, to suppress the quantum backaction, a (2) nonlinear medium is introduced to the cavity. The result shows that the quantum backaction heating effect caused by unwanted counter-rotating term can be completely removed. Hence, the strong mechanical squeezing can be obtained even for the system far from the resolved-sideband regime.
IntroductionOptomechanical system with the coupling between a cavity field and a macroscopic mechanical oscillator provides us a perfect platform for testing the quantum properties of macroscopic objects, such as macroscopic entanglement, [1][2][3][4][5][6][7][8] macroscopic steering, [9][10][11] macroscopic superposition, [12][13][14] macroscopic state transfer, [15,16] and macroscopic mechanical squeezing. [17][18][19][20][21][22][23] Meanwhile, due to the connection of mechanical motion and cavity field, optomechanical system can be used for high-precision measurements, for instance ultrasensitive force detection, [24][25][26] angular velocity detection, [27,28] small quantities of adsorbed mass detection, [29][30][31] and gravitational wave detection. [32][33][34] In the field of high-precision measurements, optomechanical squeezing, that is, optical squeezing [35][36][37][38] or mechanical squeezing [39][40][41] can effectively improve the precision detection; therefore realizing the squeezing of mechanical mode in optomechanical system is significant for its potential applications.The basic method of generating mechanical squeezing is to introduce a parametric amplification to mechanical oscillator which can be obtained directly by two-phonon driving, [42,43] or indirectly by induced methods such as modulating the frequency of the mechanical oscillator [44] or the amplitude of driving field, [45] driving the cavity with two-tone fields, [46,47] employing the non-Marokovian bath of mechanical mode, [48] etc.Generally speaking, the stationary squeezing is restricted by 3 dB because of the instability caused by the parametric