Coupled dynamics of atoms and radiation-pressure-driven interferometers

Meiser, Dominic; Meystre, Pierre

doi:10.1103/physreva.73.033417

Cited by 67 publications

(85 citation statements)

References 23 publications

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“…Since the optical lattice is formed in the direction perpendicular to the cavity axis, the effect of the motion of the atoms (center of mass motion) on the coupling strength of the atoms to the cavity mode and on the radiation pressure on the movable mirror can be ignored. The situation would be different and the center of mass motion important if the optical lattice were generated along the cavity axis by the cavity mode [30], or by a standing wave formed by running and reflected from the movable mirror laser beams [31].…”

Section: The Modelmentioning

confidence: 99%

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First-order coherence versus entanglement in a nanomechanical cavity

Sun

Ficek

2012

Phys. Rev. A

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The coherence and correlation properties of effective bosonic modes of a nano-mechanical cavity composed of an oscillating mirror and containing an optical lattice of regularly trapped atoms are studied. The system is modelled as a three-mode system, two orthogonal polariton modes representing the coupled optical lattice and the cavity mode, and one mechanical mode representing the oscillating mirror. We examine separately the cases of two-mode and three-mode interactions which are distinguished by a suitable tuning of the mechanical mode to the polariton mode frequencies. In the two-mode case, we find that the occurrence of entanglement in the system is highly sensitive to the presence of the first-order coherence between the modes. In particular, the creation of the first-order coherence among the polariton and mechanical modes is achieved at the expense of entanglement between them. In the three-mode case, we show that no entanglement is created between the independent polariton modes if both modes are coupled to the mechanical mode by the parametric interaction. There is no entanglement between the polaritons even if the oscillating mirror is damped by a squeezed vacuum field. The interaction creates the first-order coherence between the polaritons and the degree of coherence can, in principle, be as large as unity. This demonstrates that the oscillating mirror can establish the first-order coherence between two independent thermal modes. A further analysis shows that two independent thermal modes can be made entangled in the system only when one of the modes is coupled to the intermediate mode by a parametric interaction and the other is coupled by a linear-mixing interaction.

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Section: The Modelmentioning

confidence: 99%

“…(30) simplify to two separate sets of three coupled differential equations for (δb † , δΨ, δΦ) and (δb, δΨ † , δΦ † ). For example, the equations of motion for the set (δb † , δΨ, δΦ) are…”

Section: Three-mode Coherence and Entanglementmentioning

confidence: 99%

First-order coherence versus entanglement in a nanomechanical cavity

Sun

Ficek

2012

Phys. Rev. A

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“…[1,2,3,4]). Many efforts have been made to propose new devices and explore the quantum-classical transition (e.g., see Refs.…”

Section: Introductionmentioning

confidence: 99%

Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system

et al. 2009

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Using the Born-Oppenheimer approximation, we derive an effective Hamiltonian for an optomechanical system that leads to a nonlinear Kerr effect in the system's vacuum. The oscillating mirror at one edge of the optomechanical system induces a squeezing effect in the intensity spectrum of the cavity field. A near-resonant laser field is applied at the other edge to drive the cavity field, in order to enhance the Kerr effect. We also propose a quantum-nondemolition-measurement setup to monitor a system with two cavities separated by a common oscillating mirror, based on our effective Hamiltonian approach.

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“…Combining the aforementioned advancements in atomic and solid-state physics, a number of recent theoretical articles have proposed that light forces could be used to couple the motion of atoms in a trap to the vibrations of a single mode of a mechanical oscillator [15][16][17][18][19][20][21][22][23][24]. In the resulting hybrid optomechanical system, the well-established toolbox of atomic physics could be used to control the a e-mail: philipp.treutlein@unibas.ch This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.…”

Section: Introductionmentioning

confidence: 99%

Hybrid atom-membrane optomechanics

Korppi

Jöckel

Rakher

et al. 2013

EPJ Web of Conferences

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Abstract. We report on the realization of a hybrid optomechanical system in which ultracold atoms are coupled to a micromechanical membrane. The atoms are trapped in the intensity maxima of an optical standing wave formed by retroreflection of a laser beam from the membrane surface. Vibrations of the membrane displace the standing wave, thus coupling to the center-of-mass motion of the atomic ensemble. Conversely, atoms imprint their motion onto the laser light, thereby modulating the radiation pressure force on the membrane. In this way, the laser light mediates a long-distance coherent coupling between the two systems. When the trap frequency of the atoms is matched to the membrane frequency, we observe resonant energy transfer. Moreover, we demonstrate sympathetic damping of the membrane motion by coupling it to laser-cooled atoms. Theoretical investigations show that the coupling strength can be considerably enhanced by placing the membrane inside an optical cavity. This could lead to quantum coherent coupling and ground-state cooling of the membrane via a distant atomic ensemble.

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Coupled dynamics of atoms and radiation-pressure-driven interferometers

Cited by 67 publications

References 23 publications

First-order coherence versus entanglement in a nanomechanical cavity

First-order coherence versus entanglement in a nanomechanical cavity

Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system

Hybrid atom-membrane optomechanics

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