Strong Squeezing of Duffing Oscillator in a Highly Dissipative Optomechanical Cavity System

Abstract

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

The Simultaneous Ground‐State Cooling and Synchronization of Two Mechanical Oscillators by Driving Nonlinear Medium

“…and the heating caused by the nonlinear medium has also been employed to obtain strong squeezing of mechanical oscillator in ref. [41], here, we employ the result to illustrate the cooling effect of OPA medium. The net cooling rate Γ opt = S FF (𝜔 1 )− S FF (−𝜔 1 ).…”

“…In this paper, we introduce an optical parametric amplifier (OPA) in the cavity optomechanical system like [18,[41][42][43] and investigate simultaneous ground-state cooling (SGC) and quantum synchronization of two mechanical oscillators so as to make clear their relation. We thoroughly investigate the effect of the OPA medium on enhancing the synchronization effect as well as on improving the cooling rate.…”

Fano resonances and slow light in a nanocavity assisted by metallic nanoparticles‐quantum dot system

“…OMS as a macroscopic system is a good plateform to study the interaction among the nanocavity, the mechanical oscillator and other inserted objects such as atoms [8–15], Bose–Einstein condensate (BEC) [16–21], quibit [22–26], Kerr medium [27–30], graphene [31], QD [27, 32]. Many interesting phenomena have been reported, like optical solitons [33], electromagnetically induced absorption [17, 24, 34], optomechanically induced transparency (OMIT) [12, 13, 24, 26, 31–43], optomechanically induced amplification [24, 45], optical bistability [16, 46, 47], sideband effect [48, 49], entanglement [8, 50], four‐wave mixing [10, 51], squeezing [25, 52, 53], ground‐state cooling [54–59], photothermally induced transparency [60], optomechanically induced birefringence and optomechanically induced faraday effect [61]. In the past decades, due to the rich physical behaviors in the hybrid OMS, OMS caught great attention to explore the interesting quantum phenomena therein.…”

Generation of Strong Mechanical–Mechanical Entanglement by Pump Modulation

“…Recently, due to the great success of the frontier research and the potential value of the practical applications, more and more attention is paid to cavity optomechanics, and the cavity optomechanical system has been a powerful platform for the basic research science and applied engineering science. [ 1–7 ] So far, the successful realization of the ground‐state cooling for mechanical oscillator [ 8–10 ] and the explicit demonstration of strong optomechanical coupling [ 11,12 ] in experiments have significantly facilitated the effective manipulation of various kinds of mechanical quantum behaviors through the controllable radiation–pressure interaction, such as quantum superposition states, [ 13–18 ] squeezed states, [ 19–28 ] blockade effects, [ 29–31 ] and so on.…”