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Science China Physics Mechanics and Astronomy

Qubit-assisted squeezing of mirror motion in a dissipative cavity optomechanical system

Cheng‐Hua Bai, Dongyang Wang, Shou Zhang, Hong‐Fu Wang

Published Feb 1, 2019• 43 citations
Publisher
DOI
10.1007/s11433-018-9327-8

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We investigate a hybrid system consisting of an atomic ensemble trapped inside a dissipative optomechanical cavity assisted with the perturbative oscillator-qubit coupling. It is shown that such a hybrid system is very suitable for generating stationary squeezing of the mirror motion in the long-time limit under the unresolved sideband regime. Based on the approaches of master equation and covariance matrix, we discuss the respective squeezing effects in detail and find that in both approaches, simplifying the system dynamics with adiabatic elimination of the highly dissipative cavity mode is very effective. In the approach of master equation, we find that the squeezing is a resulting effect of cooling process and is robust against the thermal fluctuations of the mechanical mode. While in the covariance matrix approach, we can obtain the analytical result of the steady-state mechanical position variance from the reduced dynamical equation approximately. Finally, we compare the two different approaches and find that they are completely equivalent for the stationary dynamics. The scheme may be meaningful for the possible ultraprecise quantum measurement involved mechanical squeezing.
A theoretical scheme for the realization of the sphere-coherent motional states in an optomechanical cavity in the presence of a two-level atom is proposed. To this end, the analogy between an atom-assisted optomechanical cavity and a laser-driven trapped-ion system is used. This analogy provides us with a theoretical tool to show how sphere-coherent states (SCSs) can be generated for the motional degree of freedom of the macroscopic mechanical oscillator (MO) from atom-field-mirror interactions in a multimode optomechanical cavity. Some nonclassical properties of the generated state of the MO, including the degree of quadrature squeezing and the negativity of the Wigner distribution, are studied. We also examine the effects of the dissipation mechanisms involved in the system under consideration, including the atomic spontaneous emission and the damping of the motion of the MO, on the generated motional SCSs.