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Generating Robust Optical Entanglement via Optomechanical Coupling

Mark C. Kuzyk, Hailin Wang

Published Jan 1, 2013• 1 citation
Publisher

Abstract

A pulsed scheme for generating two-mode squeezed light via the coupling of two optical modes to a mechanical oscillator in an optomechanical system is proposed. The scheme can be robust against thermal mechanical motion.
DOI
10.1364/cleo_qels.2013.qm3c.6

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A pulsed scheme for generating robust optical entanglement via the coupling of two optical modes to a mechanical oscillator is proposed. This scheme is inspired by the S\o{}rensen-M\o{}lmer approach for entangling trapped ions in a thermal environment and is based on the use of optical driving pulses that are slightly detuned from the respective sideband resonance. We show that for certain pulse durations, the optomechanical interaction can return the mechanical oscillator to its initial state, disentangling the mechanical and optical systems. The corresponding optical entanglement generation is robust against thermal mechanical noise in the weak as well as the strong-coupling regimes. Significant optical entanglement can be generated in the weak-coupling regime, even in the presence of a large thermal phonon occupation.
Abstract We propose a protocol how to generate and verify bipartite Gaussian entanglement between two mechanical modes coupled to a single optical cavity, by means of short optical pulses and measurement. Our protocol requires neither the resolved sideband regime, nor low thermal phonon occupancy, and allows the generation and verification of quantum entanglement in less than a mechanical period of motion. Entanglement is generated via effective two-mode mechanical squeezing through conditioning position measurements. We study the robustness of entanglement to experimental deviations in mechanical frequencies and optomechanical coupling rates.
We discuss the generation of strong stationary mechanical squeezing and entanglement in the modulated two-and three-mode optomechanics. Following the reservoir engineering scheme, the beam-splitter and parametric optomechanical interactions can be simultaneously achieved through appropriately choosing the modulation frequency on mechanical motion, which is essential to strong squeezing and entanglement. In the two-mode modulated optomechanics, squeezing is tunable by the relative ratio of parametric and beam-splitter couplings, and also robust to thermal noise due to the simultaneously optically induced cooling process. In the three-mode modulated optomechanics, strong EPR-type entanglement is also attainable, which can surpass the 3dB limit of nondegenerate parametric interaction. However, the ideal entanglement is impossible since only one of mechanical Bogoliubov modes is cooled by the cavity mode, which also makes the entanglement fragile to the mechanical noise.
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.
Quantum entanglement in mechanical systems is not only a key signature of macroscopic quantum effects but has wide applications in quantum technologies. Here we propose an effective approach for creating strong steady-state entanglement between two directly coupled mechanical oscillators (or a mechanical oscillator and a microwave resonator) in a modulated optomechanical system. The entanglement is achieved by combining the processes of a cavity cooling and the two-mode parametric interaction, which can surpass the bound on the maximal stationary entanglement from the two-mode parametric interaction. In principle, our proposal allows one to cool the system from an initial thermal state to an entangled state with high purity by a monochromatic driving laser. Also, the obtained entangled state can be used to implement the continuous-variable teleportation with high fidelity. Moreover, our proposal is robust against the thermal fluctuations of the mechanical modes under the condition of strong optical pumping.