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arXiv:2004.08768 · Optics Express

Large mechanical squeezing beyond 3dB of hybrid atom-optomechanical systems in a highly unresolved sideband regime

Jian-Song Zhang, Aixi Chen

Published Apr 10, 2020• 22 citations
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Abstract

We propose a scheme for the generation of strong mechanical squeezing beyond 3dB in hybrid atom-optomechanical systems in the highly unresolved sideband (HURSB) regime where the decay rate of cavity is much larger than the frequency of the mechanical oscillator. The system is formed by two two-level atomic ensembles and an optomechanical system with cavity driven by two lasers with different amplitudes. In the HURSB regime, the squeezing of the movable mirror can not be larger than 3dB if no atomic ensemble or only one atomic ensemble is put into the optomechanical system. However, if two atomic ensembles are put into the optomechanical system, the strong mechanical squeezing beyond 3dB is achieved even in the HURSB regime. Our scheme paves the way toward the implementation of strong mechanical squeezing beyond 3dB in hybrid atom-optomechanical systems in experiments.

DOI
10.1364/oe.389588

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We propose a scheme for the generation of strong mechanical squeezing beyond 3dB in hybrid atom-optomechanical systems in the highly unresolved sideband (HURSB) regime where the decay rate of cavity is much larger than the frequency of the mechanical oscillator. The system is formed by two two-level atomic ensembles and an optomechanical system with cavity driven by two lasers with different amplitudes. In the HURSB regime, the squeezing of the movable mirror can not be larger than 3dB if no atomic ensemble or only one atomic ensemble is put into the optomechanical system. However, if two atomic ensembles are put into the optomechanical system, the strong mechanical squeezing beyond 3dB is achieved even in the HURSB regime. Our scheme paves the way toward the implementation of strong mechanical squeezing beyond 3dB in hybrid atom-optomechanical systems in experiments.
Abstract A hybrid optomechanical system which is composed of an atomic ensemble and a standard optomechanical cavity driven by a periodically modulated external laser field is investigated. Based on the simple periodic modulation forms of the driving amplitude and effective optomechanical coupling, respectively, the atom‐mirror entanglement is discussed in detail. It is found that the maximum of the entanglement in the unresolved‐sideband regime can be further enhanced compared with the non‐modulation regime. On the other hand, we find that the introduction of the atomic ensemble permits the mechanical squeezing induced by the periodic amplitude modulation can be successfully generated even in the unresolved‐sideband regime. Due to the self‐cooling mechanism constructed by the atomic ensemble, the mechanical squeezing scheme no longer requires the extra precooling technologies.
We investigate the entanglement and mechanical squeezing of a hybrid system formed by two two-level atomic ensembles and a dissipative optomechanical system driven by two lasers. We find the entanglement of two atomic ensembles can be adjusted by the dissipative and dispersive couplings of the system. If the dispersive coupling is taken into account, the maximal entanglement between atomic ensembles could be larger than that of the purely dissipative case. Then, we show that there is steady-state entanglement in the present dissipative optomechanics systems and it increases with the mechanical oscillator decay rate and driving laser power. Finally, a strong mechanical squeezing of more than 3[Formula: see text]dB is generated in the dissipative atom-photomechanical hybrid systems.
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.
ABSTRACT Narrow linewidth and macroscopically accessible mechanical microstructures make mechanical squeezing a promising platform for ultra‐high‐sensitivity detection and fundamental investigations of classical‐to‐quantum quantum effects. The conventional approaches to utilizing optomechanical interactions for generating mechanical squeezing are restricted to the resolved‐sideband regime, limiting their practical applicability. In this paper, we propose a scheme to generate a highly squeezed mechanical state in both resolved‐ and unresolved‐sideband optomechanical systems assisted by nitrogen‐vacancy ensembles (NVEs). By coupling two NVEs to the optical cavity, the detrimental counter‐rotating terms that degrade mechanical squeezing are efficiently suppressed via destructive quantum interference originating from the NVEs‐cavity coupling channels. Numerical results reveal that mechanical squeezing exhibits non‐monotonic behavior with respect to both the optomechanical coupling ratio and the cavity‐spin coupling strength. Moreover, the achievable degree of mechanical squeezing degrades as the initial thermal‐phonon occupation of the mechanical resonator and the dissipation rates of the NVEs increase. This work offers an alternative feasible pathway toward strong mechanical squeezing beyond the 3‐dB limit and broadens the application scope of hybrid solid‐state‐optomechanical quantum systems.
In this paper, we investigate theoretically the quantum state transfer in a laser-driven hybrid optomechanical cavity with two Duffing-like anharmonic movable end mirrors containing an ensemble of identical two-level trapped atoms. The quantum state transfer from the Bogoliubov modes of the two anharmonic oscillators to the atomic mode results in the atomic quadrature squeezing beyond the standard quantum limit of 3 dB, which can be controlled by both the optomechanical and atom-field coupling strengths. Interestingly, the generated atomic squeezing can be made robust against the noise sources by means of the Duffing anharmonicity. Moreover, the results reveal that the presence of the Duffing anharmonicity provides the possibility of transferring strongly squeezed states between the two mechanical oscillators in a short operating time and with high fidelity.