[show abstract][hide abstract] 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-P\'erot cavity.
Physical Review A 08/2012; 86(6). · 3.04 Impact Factor
[show abstract][hide abstract] ABSTRACT: In this paper we describe a scheme for state transfer between a trapped
atomic Bose condensate and an optomechanical end-mirror mediated by a cavity
field. Coupling between the mirror and the cold gas arises from the fact that
the cavity field can produce density oscillations in the gas which in turn acts
as an internal Bragg mirror for the field. After adiabatic elimination of the
cavity field we find that the hybrid system of the gas and mirror is described
by a beam splitter Hamiltonian that allows for state transfer, but only if the
quantum nature of the cavity field is retained.
Physical Review A 02/2012; 86(2). · 3.04 Impact Factor
[show abstract][hide abstract] ABSTRACT: We investigate the coupling of a nanomechanical oscillator in the quantum regime with molecular (electric) dipoles. We find theoretically that the cantilever can produce single-mode squeezing of the center-of-mass motion of an isolated trapped molecule and two-mode squeezing of the phonons of an array of molecules. This work opens up the possibility of manipulating dipolar crystals, which have been recently proposed as quantum memory, and more generally, is indicative of the promise of nanoscale cantilevers for the quantum detection and control of atomic and molecular systems.
[show abstract][hide abstract] ABSTRACT: Laser-cooled nanomechanical oscillators are promising new tools to manipulate and control ultracold atomic and molecular samples. As an illustration, we show how they can be exploited to entangle and squeeze a lattice of dipolar molecules.
[show abstract][hide abstract] ABSTRACT: We briefly review some of our recent and ongoing work on nanoscale optomechanics, an emerging area at the confluence of atomic,
condensed matter and gravitational wave physics. A central tenet of optomechanics is the laser cooling of a moving mirror,
typically an end mirror of a Fabry-Perot resonator, to a point near its quantum-mechanical ground state of vibration. Following
a general introduction we discuss how the motion of such a macroscopic quantum oscillator can be squeezed, and then show how
the placement of a ferroelectric tip on the oscillator allows the coherent manipulation and control of the center-of-mass
motion of ultracold polar molecules.