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Continuous variable entanglement by radiation pressure

Stefano Pirandola, Mancini, S, Vitali, D, Tombesi, P

Published Feb 3, 2003• 13 citations
OpenAlex

Abstract

We show that the radiation pressure of an intense optical field impinging on a perfectly reflecting vibrating mirror is able to entangle in a robust way the first two optical sideband modes. Under appropriate conditions, the generated entangled state is of EPR type [A. Einstein, {\it et al.}, Phys. Rev. {\bf 47}, 777 (1935)].

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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.