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Generating of squeezed state and entanglement in cavity optomechanical system

Taha Yousif, Thowra AR. Daldowm, Wenjun Zhou, Ling Zhou

Published Mar 15, 2023• 0 citations
Publisher

Abstract

Abstract We study theoretically a two-mode optomechanical system where two cavity modes are coupled to a single mechanical mode. It is shown that the whole system can yield good squeezing, which is comparable to that produced by dispersive coupling, the numerical results which we obtained showed periodic oscillations with a maximum peaks in one of the two quadrature component with a value less than 0.5. We also showed that entanglement can be achieved by calculating the variance in quadrature component of the field operators. Our results are useful in non- degenerate parametric oscillation.

DOI
10.21203/rs.3.rs-2627738/v1

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Abstract We study theoretically a two-mode optomechanical system where two cavity modes are coupled to a single mechanical mode. It is shown that the whole system can yield good squeezing, which is comparable to that produced by dispersive coupling, the numerical results which we obtained showed periodic oscillations with a maximum peaks in one of the two quadrature component with a value less than 0.5. We also showed that entanglement can be achieved by calculating the variance in quadrature component of the field operators. Our results are useful in non- degenerate parametric oscillation.
We study theoretically a two-mode optomechanical system where two cavity modes are coupled to a single mechanical mode. It is shown that the whole system can yield good squeezing, which is comparable to that produced by dispersive coupling, the numerical results which we obtained showed periodic oscillations with a maximum peaks in one of the two quadrature component with a value less than 0.5. We also showed that entanglement can be achieved by calculating the variance in quadrature component of the field operators. Our results are useful in non- degenerate parametric oscillation.
We consider a two-mode light generated by nondegenerate three-level laser with parametric oscillator in optomechanical cavity coupled to two-mode squeezed vacuum reservoir. Effects of pump mode, optomechanical coupling strength and squeezed vacuum reservoir on squeezing and entanglement properties of the cavity modes have been analyzed using the expectation values of cavity mode variables at steady state. The results show that the two-mode light produced by the system under consideration exhibits quadrature squeezing and entanglement. The presence of parametric oscillator in the cavity and squeezed vacuum reservoir enhance the degree of squeezing, entanglement and mean photon number of the cavity mode lights. The optomechanical cavity has no effect on the mean photon number and entanglement of the cavity mode but increases the degree of quadrature squeezing.
We propose a scheme for producing the phase squeezing of the output light in a dissipative optomechanical coupling system. This is achieved by applying a degenerate parametric drive on the mechanical oscillator. We also show that this scheme is capable of generating the stationary entanglement between an optical cavity field and a macroscopic mechanical oscillator. The effects of the strength of the mechanical parametric drive, the power of the input laser, the temperature of the environment on the output phase squeezing, and the optomechanical entanglement are investigated. For a temperature of 20 mK, we find that up to 9 dB of the output phase squeezing and the large optomechanical entanglement can be achieved.
Abstract We investigate the effect of a degenerate optical parametric amplifier (OPA) placed inside an optomechanical cavity on the steady-state entanglement of two cavity modes, which jointly interact with a mechanical resonator. Two cavity modes are, respectively, driven at the red and blue sideband associated with the mechanical resonator, which generates entanglement between them in the limit of resolved sideband. The OPA gives rise to single-mode squeezing of the cavity fields, which results in significant improvement of the two-mode entanglement. It is found that an optimal nonlinear gain of the OPA exists, depending on the system temperatures, which yields the maximum entanglement. The improvement is particularly remarkable for the system at cryogenic temperatures.
Squeezing of quantum fluctuation plays an important role in fundamental quantum physics and has marked influence on ultrasensitive detection. We propose a scheme to generate and enhance the squeezing of mechanical mode by exposing the optomechanical system to a non-Markovian environment. It is shown that the effective parametric resonance term of mechanical mode can be induced due to interaction with the cavity and non-Markovian reservoir, thus resulting in quadrature squeezing of the mechanical resonator; jointing the two kinds of interactions can enhance the squeezing effect. Compared with the usual Markovian regime, we can obtain stronger squeezing, and, significantly, the squeezing can approach a low asymptotic stable value.
We study theoretically a three-mode optomechanical system where two mechanical oscillators are independently coupled to a single cavity mode. By optimized two-tone or four-tone driving of the cavity, one can prepare the mechanical oscillators in an entangled two-mode squeezed state, even if they start in a thermal state. The highly pure, symmetric steady state achieved allows the optimal fidelity of standard continuous-variable teleportation protocols to be achieved. In contrast to other reservoir engineering approaches to generating mechanical entanglement, only a single reservoir is required to prepare the highly pure entangled steady state, greatly simplifying experimental implementation. The entanglement may be verified via a bound on the Duan inequality obtained from the cavity output spectrum. A similar technique may be used for the preparation of a highly pure two-mode squeezed state of two cavity modes, coupled to a common mechanical oscillator.