First-order coherence versus entanglement in a nanomechanical cavity

Sun, Lihui; Li, Gao‐xiang; Ficek, Zbigniew

doi:10.1103/physreva.85.022327

Cited by 32 publications

(17 citation statements)

References 55 publications

(78 reference statements)

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“…It was also found that the EIT in a three-level atomic ensemble, interacting with a cavity field of an optomechanical system, can be significantly changed by an oscillating mirror [67]. Furthermore, the optomechanical coupling was studied in a system where a singlemode cavity field is coupled to an antiferromagnetic BoseEinstein condensate [68,69], where the mechanical element is provided by spin-wave excitations. It has also been theoretically shown that an optomechanical analogue of EIT can be controlled by a tunable superconducting qubit [70] or a twolevel atom [71,72], which is coupled to a cavity.…”

Section: Introductionmentioning

confidence: 99%

Optomechanical analog of two-color electromagnetically induced transparency: Photon transmission through an optomechanical device with a two-level system

et al. 2014

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Some optomechanical systems can be transparent to a probe field when a strong driving field is applied. These systems can provide an optomechanical analogue of electromagnetically-induced transparency (EIT). We study the transmission of a probe field through a hybrid optomechanical system consisting of a cavity and a mechanical resonator with a two-level system (qubit). The qubit might be an intrinsic defect inside the mechanical resonator, a superconducting artificial atom, or another two-level system. The mechanical resonator is coupled to the cavity field via radiation pressure and to the qubit via the Jaynes-Cummings interaction. We find that the dressed twolevel system and mechanical phonon can form two sets of three-level systems. Thus, there are two transparency windows in the discussed system. We interpret this effect as an optomechanical analog of two-color EIT (or double-EIT). We demonstrate how to switch between one and two EIT windows by changing the transition frequency of the qubit. We show that the absorption and dispersion of the system are mainly affected by the qubit-phonon coupling strength and the transition frequency of the qubit.

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Section: Introductionmentioning

confidence: 99%

Optomechanical analog of two-color electromagnetically induced transparency: Photon transmission through an optomechanical device with a two-level system

et al. 2014

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“…The power of quantum steering for the generation of coherence has also been demonstrated [24,25]. It has been shown that the presence of mutual coherence among two systems may have a distractive effect on the creation of entanglement between these systems [26]. On the other hand, it has been shown that in a tripartite system the mutual coherence between two parties may help to collectively steer the third party [27].…”

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confidence: 98%

“…For example, an elegant electromechanical experiment has reported the observation of a bipartite entanglement of a microwave field with a mechanical oscillator [51]. Further theoretical studies have considered the generation of entanglement and quantum steering in tripartite optomechanical systems, where two independent modes can be made entangled when one of the mode is coupled to the intermediate mode by a parametric interaction and the other is coupled by a linear-mixing interaction [26,[52][53][54][55][56][57].Apart from the extensive efforts toward the creation of entangled states, it is crucial for quantum information processing to be able to control the creation and evolution of the entangled states. Recent research on phase dependent systems has addressed the problem of controlling the entanglement in two qubits systems [58,59], a triple spin qubit [60], and quantum parametric oscillators [61].…”

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confidence: 99%

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Phase control of entanglement and quantum steering in a three-mode optomechanical system

et al. 2017

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The theory of phase control of coherence, entanglement and quantum steering is developed for an optomechanical system composed of a single mode cavity containing a partially transmitting dielectric membrane and driven by short laser pulses. The membrane divides the cavity into two mutually coupled optomechanical cavities resulting in an effective three-mode closed loop system, two field modes of the two cavities and a mechanical mode representing the oscillating membrane. The closed loop in the coupling creates interfering channels which depend on the relative phase of the coupling strengths of the field modes to the mechanical mode. Populations and correlations of the output modes are calculated analytically and show several interesting phase dependent effects such as reversible population transfer from one field mode to the other, creation of collective modes, and induced coherence without induced emission. We find that these effects result from perfect mutual coherence between the field modes which is preserved even if one of the modes is not populated. The inseparability criterion for the output modes is also investigated and we find that entanglement may occur only between the field modes and the mechanical mode. We show that depending on the phase, the field modes can act on the mechanical mode collectively or individually resulting, respectively, in tripartite or bipartite entanglement. In addition, we examine the phase sensitivity of quantum steering of the mechanical mode by the field modes. Deterministic phase transfer of the steering from bipartite to collective is predicted and optimum steering corresponding to perfect EPR state can be achieved. These different types of quantum steering can be distinguished experimentally by measuring the coincidence rate between two detectors adjusted to collect photons of the output cavity modes. In particular, we find that the minima of the interference pattern of the coincidence rate signal the bipartite steering, while the maxima signal the collective steering. distant system, as considered in the original Einstein-Podolsky-Rosen (EPR) paradox [10]. The EPR steering allows two parties to verify the shared entanglement even if one measurement device is untrusted, which makes it an essential resource for one-sided device independent quantum cryptography [11][12][13][14][15][16], one-way quantum computing [17,18], secure quantum teleportation [19,20], and subchannel discrimination [21].Recent studies have revealed that coherence is closely related to entanglement and quantum steering. It was pointed out by Suzuki et al [22] that entanglement can be detected from interference fringes in atom-photon systems. It has also been shown that the coherence in a system and entanglement between that system and another initially incoherent one are quantitatively, or operationally, equivalent [23]. The power of quantum steering for the generation of coherence has also been demonstrated [24,25]. It has been shown that the presence of mutual coherence among two systems may have a ...

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“…Most of these studies considers two-mode optomechanical systems and explores entanglement in the steady-state [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Further studies have considered the generation of steady-state bipartite entanglement in three-mode systems [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Einstein-Podolsky-Rosen paradox and quantum steering in a three-mode optomechanical system

Ficek

2014

Phys. Rev. A

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We study multi-partite entanglement, the generation of EPR states and quantum steering in a three-mode optomechanical system composed of an atomic ensemble located inside a single-mode cavity with a movable mirror. The cavity mode is driven by a short laser pulse, has a nonlinear parametric-type interaction with the mirror and a linear beamsplitter-type interaction with the atomic ensemble. There is no direct interaction of the mirror with the atomic ensemble. A threshold effect for the dynamics of the system is found, above which the system works as an amplifier and below which as an attenuator of the output fields. The threshold is determined by the ratio of the coupling strengths of the cavity mode to the mirror and to the atomic ensemble. It is shown that above the threshold the system effectively behaves as a two-mode system in which a perfect bipartite EPR state can be generated, while it is impossible below the threshold. Furthermore, a fully inseparable tripartite entanglement and even further a genuine tripartite entanglement can be produced above and below the threshold. In addition, we consider quantum steering and examine the monogamy relations that quantify the amount of bipartite steering that can be shared between different modes. It is found that the mirror is more capable for steering of entanglement than the cavity mode. The two way steering is found between the mirror and the atomic ensemble despite the fact that they are not directly coupled to each other, while it is impossible between the output of cavity mode and the ensemble which are directly coupled to each other.

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First-order coherence versus entanglement in a nanomechanical cavity

Cited by 32 publications

References 55 publications

Optomechanical analog of two-color electromagnetically induced transparency: Photon transmission through an optomechanical device with a two-level system

Optomechanical analog of two-color electromagnetically induced transparency: Photon transmission through an optomechanical device with a two-level system

Phase control of entanglement and quantum steering in a three-mode optomechanical system

Einstein-Podolsky-Rosen paradox and quantum steering in a three-mode optomechanical system

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