Optically mediated nonlinear quantum optomechanics

H. Seok, L. F. Buchmann, S. Singh, Pierre Meystre

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

We consider theoretically the optomechanical interaction of several mechanical modes with a single quantized cavity-field mode for linear and quadratic coupling. We focus specifically on situations where the optical dissipation is the dominant source of damping, in which case the optical field can be adiabatically eliminated, resulting in effective multimode interactions between the mechanical modes. In the case of linear coupling, the coherent contribution to the interaction can be exploited (e.g., in quantum state swapping protocols), while the incoherent part leads to significant modifications of cold damping or amplification from the single-mode situation. Quadratic coupling can result in a wealth of possible effective interactions including the analogs of second-harmonic generation and four-wave mixing in nonlinear optics, with specific forms depending sensitively on the sign of the coupling. The cavity-mediated mechanical interaction of two modes is investigated in two limiting cases: the resolved sideband and the Doppler regime. As an illustrative application of the formal analysis we discuss in some detail a two-mode system where a Bose-Einstein condensate is optomechanically linearly coupled to the moving end mirror of a Fabry-Pérot cavity.

Original languageEnglish (US)
Article number063829
JournalPhysical Review A
Volume86
Issue number6
DOIs
StatePublished - Dec 26 2012

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cavities
interactions
damping
nonlinear optics
sidebands
Bose-Einstein condensates
four-wave mixing
harmonic generations
dissipation
analogs
mirrors

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Optically mediated nonlinear quantum optomechanics. / Seok, H.; Buchmann, L. F.; Singh, S.; Meystre, Pierre.

In: Physical Review A, Vol. 86, No. 6, 063829, 26.12.2012.

Research output: Contribution to journalArticle

Seok, H. ; Buchmann, L. F. ; Singh, S. ; Meystre, Pierre. / Optically mediated nonlinear quantum optomechanics. In: Physical Review A. 2012 ; Vol. 86, No. 6.
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