Hamiltonian chaos in a coupled BEC -- optomechanical cavity system (2009)
Zhang, K., Chen, W., Bhattacharya, M., Meystre, P.
We study a hybrid optomechanical system consisting of a Bose-Einstein condensate (BEC) trapped inside a single-mode optical cavity with a moving end-mirror. The intracavity light field has a dual...
Dynamics of a bistable Mott insulator to superfluid phase transition in cavity optomechanics (2009)
Zhang, K., Chen, W., Meystre, P.
We study the dynamics of the many-body state of ultracold bosons trapped in a bistable optical lattice in an optomechanical resonator controlled by a time-dependent input field. We focus on the...
Quantum Mechanical Limits to Inertial Mass Sensing by Nanomechanical Systems (2009)
We determine the quantum mechanical limits to inertial mass-sensing based on nanomechanical systems. We first consider a harmonically oscillating cantilever whose vibration frequency is changed by...
Coherent bimolecular reactions with quantum-degenerate matter waves (2009)
Jing, H., Cheng, J., Meystre, P.
We demonstrate theoretically that the abstraction reaction $A+B_2 \to AB+B$ can be driven coherently and efficiently with quantum-degenerate bosonic or fermionic matter waves. We show that the...
Bistable Mott-insulator to superfluid phase transition in cavity optomechanics (2009)
Chen, W., Zhang, K., Goldbaum, D. S., Bhattacharya, M., Meystre, P.
We study the many-body state of ultracold bosons in a bistable optical lattice potential in an optomechanical resonator in the weak-coupling limit. New physics arises as a result of bistability and...
When an incident light beam is scattered off a sample of ultracold atoms trapped in an optical lattice, the statistical properties of the retro-reflected field contain information about the quantum...
Stability of the density-wave state of a dipolar condensate in a pancake trap (2008)
Dutta, O., Kanamoto, R., Meystre, P.
We study a dipolar boson-fermion mixture in a pancake geometry at absolute zero temperature, generalizing our previous work on the stability of polar condensates and the formation of a density-wave...
Coupling nanomechanical cantilevers to dipolar molecules (2008)
Singh, S., Bhattacharya, M., Dutta, O., Meystre, P.
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...
Superradiant Raman scattering in an ultracold Bose gas at finite temperature (2008)
We study superradiant Raman scattering from an ultra-cold, but finite temperature Bose gas in a harmonic trap. Numerical simulations indicate the existence of distinct timescales associated with the...
Multiple membrane cavity optomechanics (2008)
We investigate theoretically the extension of cavity optomechanics to multiple membrane systems. We describe such a system in terms of the coupling of the collective normal modes of the membrane...
Optical squeezing of a mechanical oscillator by dispersive interaction (2008)
We consider a small partially reflecting vibrating mirror coupled dispersively to a single optical mode of a high finesse cavity. We show this arrangement can be used to implement quantum squeezing...
Quantum Noise in the Collective Abstraction Reaction A+B $_2\to$ AB+B (2008)
Jing, H., Cheng, J., Meystre, P.
We demonstrate theoretically that the collective abstraction reaction A+B$_2 \to$ AB+B can be realized efficiently with degenerate bosonic or fermionic matter waves. We show that this is dominated by...
Entangling the ro-vibrational modes of a macroscopic mirror using radiation pressure (2007)
We consider the dynamics of a vibrating and rotating end-mirror of an optical Fabry-P{\'erot} cavity that can sustain Laguerre-Gaussian modes. We demonstrate theoretically that since the intra-cavity...
Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror (2007)
It has previously been shown theoretically that the exchange of linear momentum between the light field in an optical cavity and a vibrating end mirror can entangle the electromagnetic field with the...
Optomechanical trapping and cooling of partially transparent mirrors (2007)
Bhattacharya, M., Uys, H., Meystre, P.
We consider the radiative trapping and cooling of a partially transmitting mirror suspended inside an optical cavity, generalizing the case of a perfectly reflecting mirror previously considered [M....
Fermionic stabilization and density-wave ground state of a polar condensate (2007)
Kanamoto, O. Dutta R., Meystre, P.
We examine the stability of a trapped dipolar condensate mixed with a single-component fermion gas at T=0. Whereas pure dipolar condensates with small s-wave interaction are unstable even for small...
Using a Laguerre-Gaussian beam to trap and cool the rotational motion of a mirror (2007)
We show theoretically that it is possible to trap and cool the rotational motion of a macroscopic mirror made of a perfectly reflecting spiral phase element using orbital angular momentum transfer...
Trapping and Cooling a mirror to its quantum mechanical ground state (2007)
We propose a technique aimed at cooling a harmonically oscillating mirror to its quantum mechanical ground state starting from room temperature. Our method, which involves the two-sided irradiation...
Coherent atom-trimer conversion in a repulsive Bose-Einstein condensate (2007)
Jing, H., Cheng, J., Meystre, P.
We show that the use of a generalized atom-molecule dark state permits the enhanced coherent creation of triatomic molecules in a repulsive atomic Bose-Einstein condensate, with further enhancement...
Ground-state structure and stability of dipolar condensates in anisotropic traps (2007)
We study the Hartree ground state of a dipolar condensate of atoms or molecules in an three-dimensional anisotropic geometry and at T=0. We determine the stability of the condensate as a function of...
Quantum states for Heisenberg-limited interferometry (2007)
The phase resolution of interferometers is limited by the so-called Heisenberg limit, which states that the optimum phase sensitivity is inversely proportional to the number of interfering particles...
Cavity QED determination of atomic number statistics in optical lattices (2006)
Chen, W., Meiser, D., Meystre, P.
We study the reflection of two counter-propagating modes of the light field in a ring resonator by ultracold atoms either in the Mott insulator state or in the superfluid state of an optical lattice....
The Super-Strong Coupling Regime of Cavity Quantum Electrodynamics (2006)
We describe a qualitatively new regime of cavity quantum electrodynamics, the super strong coupling regime. This regime is characterized by atom-field coupling strengths of the order of the free...
Theory of Coherent Raman Superradiance Imaging of Condensed Bose Gases (2006)
We model the off-resonant superradiant Raman scattering of light from a cigar-shaped atomic Bose-Einstein condensate. Absorption images of transmitted light serve as a direct probe of long range...
Coupled dynamics of atoms and radiation pressure driven interferometers (2005)
We consider the motion of the end mirror of a cavity in whose standing wave mode pattern atoms are trapped. The atoms and the light field strongly couple to each other because the atoms form a...
Quantum optics of ultra-cold molecules (2005)
Meiser, D., Miyakawa, T., Uys, H., Meystre, P.
Quantum optics has been a major driving force behind the rapid experimental developments that have led from the first laser cooling schemes to the Bose-Einstein condensation (BEC) of dilute atomic...
Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association (2005)
Nunnenkamp, A., Meiser, D., Meystre, P.
We study the effects of quantum statistics on the counting statistics of ultracold heteronuclear molecules formed by Feshbach-assisted photoassociation [Phys. Rev. Lett. {\bf 93}, 140405 (2004)]....
We investigate the potential of the so-called XFROG cross-correlation technique originally developed for ultrashort laser pulses for the recovery of the amplitude and phase of the condensate wave...
Molecule formation as a diagnostic tool for second order correlations of ultra-cold gases (2004)
Meiser, D., Search, C. P., Meystre, P.
We calculate the momentum distribution and the second-order correlation function in momentum space, $g^{(2)}({\bf p},{\bf p}',t)$ for molecular dimers that are coherently formed from an ultracold...
Fluctuations in the formation time of ultracold dimers from fermionic atoms (2004)
Uys, H., Miyakawa, T., Meiser, D., Meystre, P.
We investigate the temporal fluctuations characteristic of the formation of molecular dimers from ultracold fermionic atoms via Raman photoassociation. The quantum fluctuations inherent to the...
Number statistics of molecules formed from ultra-cold atoms (2004)
We calculate the number statistics of a single-mode molecular field excited by photoassociation or via a Feshbach resonance from an atomic Bose-Einstein condensate (BEC), a normal atomic Fermi gas...
Limits to phase resolution in matter wave interferometry (2004)
Jääskeläinen, M., Zhang, W., Meystre, P.
We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of...
Phase Coherence in a Driven Double-Well System (2004)
Miyakawa, T., Search, C. P., Meystre, P.
We analyze the dynamics of the molecular field incoherently pumped by the photoassociation of fermionic atoms and coupled by quantum tunnelling in a double-well potential. The relative phase...
Diffraction of ultra-cold fermions by quantized light fields: Standing versus traveling waves (2004)
Meiser, D., Search, C. P., Meystre, P.
We study the diffraction of quantum degenerate fermionic atoms off of quantized light fields in an optical cavity. We compare the case of a linear cavity with standing wave modes to that of a ring...
Four-Wave mixing in degenerate Fermi gases: Beyond the undepleted pump approximation (2003)
Miyakawa, T., Christ, H., Search, C. P., Meystre, P.
We analyze the full nonlinear dynamics of the four-wave mixing between an incident beam of fermions and a fermionic density grating. We find that when the number of atoms in the beam is comparable to...
Dynamics of Fermionic Four-Wave Mixing (2002)
Christ, H., Search, C. P., Meystre, P.
We study the dynamics of a beam of fermions diffracted off a density grating formed by fermionic atoms in the limit of a large grating. An exact description of the system in terms of particle-hole...
Pu, H., Baksmaty, L. O., Zhang, W., Bigelow, N. P., Meystre, P.
We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function...
Input-output theory for fermions in an atom cavity (2002)
Search, C. P., Poetting, S., Zhang, W., Meystre, P.
We generalize the quantum optical input-output theory developed for optical cavities to ultracold fermionic atoms confined in a trapping potential, which forms an "atom cavity". In order to account...
Raman coupler for a trapped two-component quantum-degenerate Fermi gas (2002)
Potting, S., Cramer, M., Zhang, W., Meystre, P.
We investigate theoretically the Raman coupling between two internal states of a trapped low-density quantum-degenerate Fermi gas. In general, the trap frequencies associated with the two internal...
Search, C. P., Pu, H., Zhang, W., Meystre, P.
The quasiparticle excitations and dynamical stability of an atomic Bose-Einstein condensate coupled to a quantum degenerate Fermi gas of atoms at zero temperature is studied. The Fermi gas is assumed...
Search, C. P., Pu, H., Zhang, W., Anderson, B. P., Meystre, P.
We examine the effect of the trapping potential on the critical temperature, $T_C$, for the BCS transition to a superfluid state in trapped atomic gases of fermions. $T_C$ for an arbitrary power law...
Diffraction of a superfluid Fermi gas by an atomic grating (2001)
Search, C. P., Pu, H., Zhang, W., Meystre, P.
An atomic grating generated by a pulsed standing wave laser field is proposed to manipulate the superfluid state in a quantum degenerate gas of fermionic atoms. We show that in the presence of atomic...
Momentum state engineering and control in Bose-Einstein condensates (2001)
Potting, S., Cramer, M., Meystre, P.
We demonstrate theoretically the use of genetic learning algorithms to coherently control the dynamics of a Bose-Einstein condensate. We consider specifically the situation of a condensate in an...
Coherent acceleration of Bose-Einstein condensates (2001)
Potting, S., Cramer, M., Schwalb, C. H., Pu, H., Meystre, P.
We present a theoretical analysis of the coherent acceleration of atomic Bose-Einstein condensates. A first scheme relies on the 'conveyor belt' provided by a frequency-chirped optical lattice. For...
Generation of arbitrary Dicke states in spinor Bose-Einstein condensates (2000)
Raghavan, S., Pu, H., Meystre, P., Bigelow, N. P.
We demonstrate that the combination of two-body collisions and applied Rabi pulses makes it possible to prepare arbitrary Dicke (spin) states as well as maximally entangled states by appropriate...
Atomic Solitons in Optical Lattices (2000)
Potting, S., Meystre, P., Wright, E. M.
The experimental demonstration of Bose-Einstein condensation in atomic vapors has rapidly lead to new advances in atom optics. It is now well established that two-body collisions play for matter...
Gravity-induced Wannier-Stark ladder in an optical lattice (2000)
Zapata, J., Guzman, A. M., Moore, M. G., Meystre, P.
We discuss the dynamics of ultracold atoms in an optical potential accelerated by gravity. The positions and widths of the Wannier-Stark ladder of resonances are obtained as metastable states. The...
Creating macroscopic atomic EPR states from Bose condensates (2000)
We present a scheme for creating quantum entangled atomic states through the coherent spin-exchange collision of a spinor Bose-Einstein condensate. The state generated possesses macroscopic...
Quantum coherence and interaction-free measurements (2000)
Potting, S., Lee, E. S., Schmitt, W., Rumyantsev, I., Mohring, B., Meystre, P.
We investigate the extent to which ``interaction-free'' measurements perturb the state of quantum systems. We show that the absence of energy exchange during the measurement is not a sufficient...
Instabilities and self-socillations in atomic four-wave mixing (2000)
Heurich, J., Pu, H., Moore, M. G., Meystre, P.
The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the...
Eliminating the mean-field shift in multicomponent Bose-Einstein condensates (2000)
Goldstein, E. V., Moore, M. G., Pu, H., Meystre, P.
We demonstrate that the nonlinear mean-field shift in a multi-component Bose-Einstein condensate may be eliminated by controlling the two-body interaction coefficients. This modification is achieved...
Generating entangled atom-photon pairs from Bose-Einstein condensates (2000)
We propose using spontaneous Raman scattering from an optically driven Bose-Einstein condensate as a source of atom-photon pairs whose internal states are maximally entangled. Generating entanglement...
Magneto-optical control of bright atomic solitons (2000)
Potting, S., Zobay, O., Meystre, P., Wright, E. M.
In previous work we showed that bright atomic solitons can arise in spinor Bose-Einstein condensates in the form of gap solitons even for repulsive many-body interactions. Here we further explore the...
Higher-order mutual coherence of optical and matter waves (1999)
Prataviera, G. A., Zapata, J., Meystre, P.
We use an operational approach to discuss ways to measure the higher-order cross-correlations between optical and matter-wave fields. We pay particular attention to the fact that atomic fields...
Cavity atom optics and the `free atom laser' (1999)
Heurich, J., Moore, M. G., Meystre, P.
The trap environment in which Bose-Einstein condensates are generated and/or stored strongly influences the way they interact with light. The situation is analogous to cavity QED in quantum optics,...
Mutual coherence of optical and matter waves (1999)
Prataviera, G. A., Goldstein, E. V., Meystre, P.
We propose a scheme to measure the cross-correlations and mutual coherence of optical and matter fields. It relies on the combination of a matter-wave detector operating by photoionization of the...
Nonlinear manipulation and control of matter waves (1999)
Goldstein, E. V., Moore, M. G., Meystre, P.
This paper reviews some of our recent results in nonlinear atom optics. In addition to nonlinear wave-mixing between matter waves, we also discuss the dynamical interplay between optical and matter...
Theory of superradiant scattering of laser light from Bose-Einstein condensates (1999)
In a recent MIT experiment, a new form of superradiant Rayleigh scattering was observed in Bose-Einstein condensates. We present a detailed theory of this phenomena in which the directional...
Dark states of dressed Bose-Einstein condensates (1999)
Lee, E. S., Geckeler, C., Heurich, J., Gupta, A., Cheong, Kit-Iu, Secrest, S., ...
We combine the ideas of dressed Bose-Einstein condensates, where an intracavity optical field allows one to design coupled, multicomponent condensates, and of dark states of quantum systems, to...
Zobay, O., Goldstein, E. V., Meystre, P.
We study the conditions under which atomic condensates can be used as a recording media and then suggest a reading scheme which allows to reconstruct an object with atomic reading beam. We show that...
Quantum optics of a Bose-Einstein condensate coupled to a quantized light field (1999)
Moore, M. G., Zobay, O., Meystre, P.
We consider the interaction between a Bose-Einstein condensate and a single-mode quantized light field in the presence of a strong far off-resonant pump laser. The dynamics is characterized by an...
Two-atom dark states in electromagnetic cavities (1998)
Yang, G. J., Zobay, O., Meystre, P.
The center-of-mass motion of two two-level atoms coupled to a single damped mode of an electromagnetic resonator is investigated. For the case of one atom being initially excited and the cavity mode...
Optical control and entanglement of atomic Schroedinger fields (1998)
We develop a fully quantized model of a Bose-Einstein condensate driven by a far off-resonant pump laser which interacts with a single mode of an optical ring cavity. In the linear regime, the cavity...
Nonlinear optics of matter waves (1998)
Goldstein, E. V., Moore, M. G., Zobay, O., Meystre, P.
We give a brief overview of the way atomic physics is now developing in a way reminiscent of the optics revolution of the 1960's. Thanks in particular to recent developments in atomic trapping and...
Creation of gap solitons in Bose-Einstein condensates (1998)
Zobay, O., Wright, E. M., Meystre, P.
We discuss a method to launch gap soliton-like structures in atomic Bose-Einstein condensates confined in optical traps. Bright vector solitons consisting of a superposition of two hyperfine Zeeman...
Field and density coherence of matter-wave fields (1998)
Goldstein, E. V., Zobay, O., Meystre, P.
In analogy to Glauber's analysis of optical coherence, we adopt an operational approach to introduce different classes of atomic coherence associated with different types of measurements. For the...
Effects of atomic diffraction on the Collective Atomic Recoil Laser (1998)
We formulate a wave atom optics theory of the Collective Atomic Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. By comparing the predictions of this theory with...
On the detection of condensate vortex states (1997)
Goldstein, E. V., Wright, E. M., Meystre, P.
We discuss a detection scheme that reveals the existence of vortex states in a cylindrically symmetric condensate trap. It relies on the measurement of the second-order correlation function of the...
Wave atom optics theory of the Collective Atomic-Recoil Laser (1997)
We present a wave atom optics theory of the Collective Atomic-Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. It extends the previous ray atom optics theory,...
Phase dynamics in a binary-collisions atom laser scheme (1997)
Various aspects of the phase dynamics of an atom laser scheme based on binary collisions are investigated. Analytical estimates of the influence of elastic atom-atom collisions on the laser linewidth...
Dressed Bose-Einstein Condensates in High-Q Cavities (1997)
Goldstein, E. V., Wright, E. M., Meystre, P.
We propose and analyze a way in which effective multicomponent condensates can be created inside high-Q multimode cavities. In contrast to the situation involving several atomic species or levels,...
Enhancement of the Sagnac effect due to nonlinearly induced nonreciprocity (1981)
We propose a novel way to enhance the Sagnac effect by using a nonlinear ring interferometer. Specifically, we take advantage of the nonlinearly induced nonreciprocity of counterpropagating waves...