Enhancement of quantum synchronization in optomechanical system by modulating the couplings

Abstract

We study two coupled optomechanical systems interact mutually through an optical fiber and a phonon tunneling, which are controlled by two switches K 1 and K 2 . Compared to the quantum synchronization of the optomechanical systems without modification, we find that a proper periodic modification by different switches setups can achieve a better quantum synchronization. In addition, we also analyze the robustness of the periodically modified system against the bath's mean temperature or the oscillators' frequency difference, respectively.

Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity

“…From Eq. ( 5), we can find that, unlike the linear cases [28][29][30][31] , the large nonlinearity intensity χ j can suppress the oscillations of the two cavity as well as the photon exchange between them, and indirectly "frozen" the oscillation of the positions and the momentums of two mechanical oscillators. In this situation, S q can directly reaches its maximal values in a very short time since the oscillations of the two mechanical oscillators are both suppressed.…”

“…To realize perfect quantum synchronization in optomechanical system, the existing researches mainly focus on the different ways of coupling between two subsystems: the two mechanical oscillators directly coupled by phonons 9,28 or the two cavity modes coupled through an optical fiber 28,29 . Cavity mode and external field can also be modulated by periodic function to achieve better quantum synchronization [30][31][32] . But the form of systematic Hamiltonian and cavity mode is unchanged essentially, only through different ways of coupling, as well as to the coupling effect of periodic modulation to implement the energy transmission between the subsystems 28,31 .…”

“…Cavity mode and external field can also be modulated by periodic function to achieve better quantum synchronization [30][31][32] . But the form of systematic Hamiltonian and cavity mode is unchanged essentially, only through different ways of coupling, as well as to the coupling effect of periodic modulation to implement the energy transmission between the subsystems 28,31 . However, the nonlinearity of the optomechanical interaction of the quantum level is also important.…”

Quantum $φ$-synchronization in coupled optomechanical system with periodic modulation

“…Time evolution of (a) the mean values q 1 (red solid line) and q 2 (blue dashed line) , (b) the mean values p 1 (red solid line) and p 2 (blue dashed line) , (c) the measure of quantum synchronization S q , and (d) the measure of quantum ϕ-synchronization S ϕ q . Parameters are chosen to refer to [35,55]:…”

“…Time evolution of (a) the mean values q 1 (red solid line) and q 2 (blue dashed line) , (b) the mean values p 1 (red solid line) and p 2 (blue dashed line) , (c) the measure of quantum synchronization S q , and (d) the measure of quantum ϕ-synchronization S ϕ q . Parameters are chosen to refer to[35,55]:λ = 0.03, A c = 2, ω c = 3. Other parameters are normalized by ∆ 1 = 1,∆ 2 = ∆ 1 + 0.005,ω 1 = ∆ 1 ,ω 2 = ∆ 2 , g = 0.005∆ 1 , γ = 0.005∆ 1 , κ = 0.15∆ 1 , E = 100∆ 1 .…”