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Research in Optical Sciences

Generation of Squeezed State of Mirror Motion in Dissipative Optomechanical System

Gao‐xiang Li

Published Jan 1, 2014• 0 citations
Publisher

Abstract

We report two schemes of generating squeezed state of the mirror motion in a dissipative optome-chanical system, where feeding a broadband squeezed-vacuum light and periodically modulating the driving field, respectively. In the first scheme, we find that the driven cavity field can effectively perform as a squeezed-vacuum reservoir for the movable mirror via utilizing the completely destructive interference of quantum noise when the mirror is weakly coupled to the cavity mode. In the second scheme, both the numerical and analytical results predict that the squeezed state of the mirror motion around its ground state is achievable, and the obtained squeezed state is robust against the thermal noise because of the strong cooling effect outside the resolved-sideband regime, which also arises from the destructive interference of quantum noise.

DOI
10.1364/hilas.2014.jw2a.77

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We report two schemes of generating squeezed state of the mirror motion in a dissipative optome-chanical system, where feeding a broadband squeezed-vacuum light and periodically modulating the driving field, respectively. In the first scheme, we find that the driven cavity field can effectively perform as a squeezed-vacuum reservoir for the movable mirror via utilizing the completely destructive interference of quantum noise when the mirror is weakly coupled to the cavity mode. In the second scheme, both the numerical and analytical results predict that the squeezed state of the mirror motion around its ground state is achievable, and the obtained squeezed state is robust against the thermal noise because of the strong cooling effect outside the resolved-sideband regime, which also arises from the destructive interference of quantum noise.
We investigate the generation of squeezed state of the mirror motion in a dissipative optomechanical system driven with a strong laser field accompanied with two periodically-modulated lights. Using the density operator approach we calculate the variances of quantum fluctuations around the classical orbits. Both the numerical and analytical results predict that the squeezed state of the mirror motion around its ground state is achievable. Moreover, the obtained squeezed state is robust against the thermal noise because of the strong cooling effect outside the resolved-sideband regime, which arises from the destructive interference of quantum noise.
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.
The generation of quantum entanglement of macroscopic or mesoscopic bodies in mechanical motion is generally bounded by the thermal fluctuation exerted by their environments. Here we propose a scheme to establish stationary entanglement between two mechanically oscillating mirrors of a cavity. It is revealed that, by applying a broadband squeezed laser acting as a squeezed-vacuum reservoir to the cavity, a stable entanglement between the mechanical mirrors can be generated. Using the adiabatic elimination and master equation methods, we analytically find that the generated entanglement is essentially determined by the squeezing of the relative momentum of the mechanical mirrors, which is transferred from the squeezed reservoir through the cavity. Numerical verification indicates that our scheme is within the present experimental state of the art of optomechanics.
The generation of two-mode broadband squeezed light is investigated in cascading double-cavity optomechanical systems. The cavities are driven by amplitude-modulated lasers with two frequency tones, one of which is red detuning and other blue detuning from the cavity fields. It is shown that a two-mode squeezed field can be generated in a single double-cavity system via dissipation of the mechanical resonator. To generate broadband and strong squeezing of the cavity fields, many identical double-cavity optomechanical systems are connected together in a cascading way. The vacuum noise fed into the cavities and the thermal noise coupled to the mechanical resonator can be greatly depressed in the cascading system. As a result, the very strong and constant squeezing can be achieved in a large frequency range when the number of cascaded optomechanical systems becomes large.
Quantum noises impose limits on both backaction cooling and displacement measurements in macroscopic resonators. Here, we demonstrate that for dissipative optomechanical systems in the deeply unresolved sideband regime, squeezed-vacuum engineering of Fano interference enables broadband, tunable suppression of backaction noise and complete evasion of backaction heating, along with destructive noise correlations in the measurement spectrum. This leads to ground-state cooling over a cavity-linewidth scale for both blue- and red-detuned drives, as well as substandard quantum limit position sensitivity both at and away from mechanical resonance. Our Letter establishes squeezed-reservoir engineering as a powerful platform for exploring nonclassical correlations, quantum sensing, and information processing via noise-interference control.
We study an optomechanical system for the purpose of generating a nonclassical mechanical state when a mechanical oscillator is quadratically coupled to a single-mode cavity field driven by a squeezed optical field. The system corresponds to a regime where the optical dissipation dominates both the mechanical damping and the optomechanical coupling. We identify that multiphonon processes emerge in the optomechanical system and show that a mechanical oscillator prepared in the ground state will evolve into an amplitude-squared squeezed vacuum state. The Wigner distribution of the steady state of the mechanical oscillator is non-Gaussian exhibiting quantum interference and fourfold symmetry. This nonclassical mechanical state, generated via reservoir engineering, can be used for quantum correlation measurements of the position and momentum of the mechanics below the standard quantum limit.