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arXiv:quant-ph/0302017 · Journal of Optics B Quantum and Semiclassical Optics

Continuous variable entanglement by radiation pressure

Stefano Pirandola, Stefano Mancini, David Vitali, Paolo Tombesi

Published Aug 1, 2003• 15 citations
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Abstract

We show that when an intense and quasi-monochromatic laser field is incident on a single vibrating and perfectly reflecting mirror in free space, radiation pressure realizes an effective coupling between a mirror vibrational mode and the first two optical sidebands of the incident field. The two reflected sidebands are in fact entangled by the optomechanical interaction and the resulting continuous variable entanglement proves to be robust against the thermal noise acting on the vibrational mode. If the duration of the incident laser pulse is appropriately chosen, the resulting state of the two sideband modes becomes an exact two-mode squeezed state.

DOI
10.1088/1464-4266/5/4/359

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We show that when an intense and quasi-monochromatic laser field is incident on a single vibrating and perfectly reflecting mirror in free space, radiation pressure realizes an effective coupling between a mirror vibrational mode and the first two optical sidebands of the incident field. The two reflected sidebands are in fact entangled by the optomechanical interaction and the resulting continuous variable entanglement proves to be robust against the thermal noise acting on the vibrational mode. If the duration of the incident laser pulse is appropriately chosen, the resulting state of the two sideband modes becomes an exact two-mode squeezed state.
We study an isolated, perfectly reflecting, mirror illuminated by an intense laser pulse. We show that the resulting radiation pressure efficiently entangles a mirror vibrational mode with the two reflected optical sideband modes of the incident carrier beam. The entanglement of the resulting three-mode state is studied in detail and it is shown to be robust against the mirror mode temperature. We then show how this continuous-variable entanglement can be profitably used to teleport an unknown quantum state of an optical mode onto the vibrational mode of the mirror.
Optomechanical generation of entangled optical beams is usually hindered by thermal noise. We present a theoretical study of low frequency entanglement generation between two optical harmonics emitted from a cavity optomechanical system operating in the resolved-sideband regime. The system comprises three nearly equidistant optical modes in a high-finesse cavity, with the central mode coherently driven. This configuration enables radiation-pressure interactions that generate strong quantum correlations between the two sideband modes. Remarkably, these correlations persist even at large numbers of thermal quanta if one properly engineers the optical cooling rate of the mechanical mode. Our findings demonstrate the feasibility of robust entanglement under ambient conditions, opening new avenues for hybrid quantum technologies based on mechanical interfaces and continuous-variable quantum information processing.
The entanglement of the two movable mirrors in a single mode cavity field is studied in an ideal situation without thermal noise. When gn/w <<1 where g is the coupling coefficient between the mirror and the field, w is the mirror' vibration frequency and n is photon number of the cavity field, we work out Wootters concurrence of the system initially with the field in Fock number state and the two mirrors in vacuum states, and find that the states of the mirrors are entangled into space spanned by |0>,|1> via radiation pressure, though the concurrence is very small.
Abstract In this study, a method for entangling two spatially separated output laser fields from an optomechanical cavity is proposed. In the existing standard methods, entanglement is created by driving the two-mode squeezing part of the linearized optomechanical interaction;, however our method generates entanglement using the quantum back-action nullifying meter technique. As a result, entanglement can be generated outside the blue sideband frequency in both resolved and unresolved sideband regimes. We further show that the system is stable in the entire region where the Duan criterion for inseparability is fulfilled. The effect of thermal noise on the generated entanglement is examined. Finally, we compare this technique with standard methods for entanglement generation using optomechanics.