Entanglement of nanomechanical oscillators and two-mode fields induced by atomic coherence

Zhou, Ling; Han, Yan; Jing, Jietai; Zhang, Weiping

doi:10.1103/physreva.83.052117

Cited by 107 publications

(83 citation statements)

References 33 publications

(73 reference statements)

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“…In Ref. [25] our group showed that a scheme of three level cascade atoms can be used to entangled two mechanical oscillators and two mode fields as well as the optical and mechanical modes. Continuous variable entanglement based on geometrical nonlinearity is shown in [26], the authors show that the entanglement robusts against temperature and the geometrical nonlinearity enhances its amount and shifts the maximum towards high detuning values.…”

Section: Introductionmentioning

confidence: 99%

Bistability and Entanglement of a Two-Mode Cavity Optomechanical System

Yousif

Zhou

2015

Int J Theor Phys

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Section: Introductionmentioning

confidence: 99%

Bistability and Entanglement of a Two-Mode Cavity Optomechanical System

Yousif

Zhou

2015

Int J Theor Phys

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“…The stationary entanglement between mechanical and cavity modes in the * yuxiliu@tsinghua.edu.cn optomechanical systems has been studied [35][36][37][38][39], and such continuous variable entanglement can be used to implement quantum teleportation [40][41][42]. Also both tripartite and bipartite entanglement between mechanical modes and other degrees of freedom can be generated in the optomechanical systems [43][44][45][46][47][48][49] or the hybrid optomechanical systems with an atomic ensemble [50][51][52][53][54][55][56][57][58][59] or a single-atom [60,61] inside the cavity. Moreover, the cavity field mediated entanglement between two macroscopic mechanical resonators in the steady state [62][63][64][65][66][67][68][69][70][71][72] has also been theoretically explored.…”

Section: Introductionmentioning

confidence: 99%

Entangled-state engineering of vibrational modes in a multimembrane optomechanical system

Zhao

Liu

2013

Phys. Rev. A

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We propose a method to generate entangled states of the vibrational modes of N membranes which are coupled to a cavity mode via the radiation pressure. Using sideband excitations, we show that arbitrary entangled states of vibrational modes of different membranes can be produced in principle by sequentially applying a series of classical pulses with desired frequencies, phases and durations. As examples, we show how to synthesize several typical entangled states, for example, Bell states, NOON states, GHZ states and W states. The environmental effect, information leakage, and experimental feasibility are briefly discussed. Our proposal can also be applied to other experimental setups of optomechanical systems, in which many mechanical resonators are coupled to a common sing-mode cavity field via the radiation pressure.

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“…Further studies have addressed interesting problems of entangling mechanical oscillators [19], entangling optical and microwave cavity modes [20], and the creation of a photon by a vibrating mirror [21]. In this connection, we should mention the most recent work on the generation of entanglement in pulsed cavity optomechanics [22], and the work on the creation of entanglement between two oscillating mirrors through the coupling of the mirrors to an atomic system [23].…”

Section: Introductionmentioning

confidence: 99%

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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Entanglement of nanomechanical oscillators and two-mode fields induced by atomic coherence

Cited by 107 publications

References 33 publications

Bistability and Entanglement of a Two-Mode Cavity Optomechanical System

Bistability and Entanglement of a Two-Mode Cavity Optomechanical System

Entangled-state engineering of vibrational modes in a multimembrane optomechanical system

First-order coherence versus entanglement in a nanomechanical cavity

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