Classical dynamics of the optomechanical modes of a Bose-Einstein condensate in a ring cavity

Chen, W.; Goldbaum, D. S.; Bhattacharya, M.; Meystre, Pierre

doi:10.1103/physreva.81.053833

Cited by 31 publications

(35 citation statements)

References 56 publications

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“…Meanfield approaches for various extensions of that systems (e.g. the combined system of a BEC and movable mirror in the same setup) were considered theoretically in [90][91][92][93][94][95][96][97]. In the combined system, the bistable behavior of the MI to SF phase transition was addressed [98,99].…”

Section: Variety Of Phenomena In the "Ultracold Gas + Optical Cavmentioning

confidence: 99%

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

J. Phys. B: At. Mol. Opt. Phys.

174

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Although the study of ultracold quantum gases trapped by light is a prominent direction of modern research, the quantum properties of light were widely neglected in this field. Quantum optics with quantum gases closes this gap and addresses phenomena, where the quantum statistical nature of both light and ultracold matter play equally important roles. First, light can serve as a quantum nondemolition (QND) probe of the quantum dynamics of various ultracold particles from ultracold atomic and molecular gases to nanoparticles and nanomechanical systems. Second, due to dynamic light-matter entanglement, projective measurement-based preparation of the many-body states is possible, where the class of emerging atomic states can be designed via optical geometry. Light scattering constitutes such a quantum measurement with controllable measurement back-action. As in cavity-based spin squeezing, atom number squeezed and Schrödinger cat states can be prepared. Third, trapping atoms inside an optical cavity one creates optical potentials and forces, which are not prescribed but quantized and dynamical variables themselves. Ultimately, cavity QED with quantum gases requires a self-consistent solution for light and particles, which enriches the picture of quantum many-body states of atoms trapped in quantum potentials. This will allow quantum simulations of phenomena related to the physics of phonons, polarons, polaritons and other quantum quasiparticles.

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Section: Variety Of Phenomena In the "Ultracold Gas + Optical Cavmentioning

confidence: 99%

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Mekhov¹,

Ritsch²

2012

J. Phys. B: At. Mol. Opt. Phys.

174

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“…In the case that the system does not have parity symmetry, for example, when the BEC is inside a ring cavity, one should also consider sine modes which in our model have been set aside [22,23]. By substituting the atomic field operator, Eq.…”

Section: System Hamiltonianmentioning

confidence: 99%

Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom–atom interaction

Dalafi

Naderi

Soltanolkotabi

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the effects of atomic collisions as well as optomechanical mirror-field coupling on the optical bistability in a hybrid system consisting of a Bose-Einstein condensate inside a driven optical cavity with a moving end mirror. It is shown that the bistability of the system can be controlled by the s-wave scattering frequency which can provide the possibility of realizing a controllable optical switch. On the other hand, by studying the effect of the Bogoliubov mode, as a secondary mechanical mode relative to the mirror vibrations, on the cooling process as well as the bipartite mirror-field and atom-field entanglements we find an interpretation for the cooling of the Bogoliubov mode. The advantage of this hybrid system in comparison to the bare optomecanical cavity with a two-mode moving mirror is the controllability of the frequency of the secondary mode through the s-wave scattering interaction.

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“…In contrast, ultracold atomic gases can routinely be cooled to the quantum degenerate regime, and the technical challenges of cooling optomechanical systems that are commonplace for most mechanical oscillators can be circumvented. For ultracold gases in a cavity, we have an optomechanical system where a quantized light field is coupled to a many-body multimode optomechanical system that is already in its ground state, allowing a variety of optomechanical responses [84][85][86][87][88].…”

Section: Quantum Measurement In An Optomechanical Multimode Systemmentioning

confidence: 99%

Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction

Lee

Ruostekoski

2014

Phys. Rev. A

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We formulate computationally efficient classical stochastic measurement trajectories for a multimode quantum system under continuous observation. Specifically, we consider the nonlinear dynamics of an atomic BoseEinstein condensate contained within an optical cavity subject to continuous monitoring of the light leaking out of the cavity. The classical trajectories encode within a classical phase-space representation a continuous quantum measurement process conditioned on a given detection record. We derive a Fokker-Planck equation for the quasiprobability distribution of the combined condensate-cavity system. We unravel the dynamics into stochastic classical trajectories that are conditioned on the quantum measurement process of the continuously monitored system. Since the dynamics of a continuously measured observable in a many-atom system can be closely approximated by classical dynamics, the method provides a numerically efficient and accurate approach to calculate the measurement record of a large multimode quantum system. Numerical simulations of the continuously monitored dynamics of a large atom cloud reveal considerably fluctuating phase profiles between different measurement trajectories, while ensemble averages exhibit local spatially varying phase decoherence. Individual measurement trajectories lead to spatial pattern formation and optomechanical motion that solely result from the measurement backaction. The backaction of the continuous quantum measurement process, conditioned on the detection record of the photons, spontaneously breaks the symmetry of the spatial profile of the condensate and can be tailored to selectively excite collective modes.

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Classical dynamics of the optomechanical modes of a Bose-Einstein condensate in a ring cavity

Cited by 31 publications

References 56 publications

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom–atom interaction

Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction

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