Spectral Characterization of Couplings in a Mixed Optomechanical Model*

Zhou, Y. H.; Zou, Fen; Fang, Xiaowen; Huang, Jinfeng; Liao, Jie‐Qiao

doi:10.1088/0253-6102/71/8/939

Cited by 4 publications

(5 citation statements)

References 69 publications

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“…Let us denote |m a (m = 0, 1, 2, ...) and | j b ( j = 0, 1, 2, ...) as the number states of the cavity field and the mechanical oscillation, respectively. Then the eigen-equation of the Hamiltonian H mop can be derived as [53]…”

Section: Physical System and Hamiltonianmentioning

confidence: 99%

“…In the mixed cavity optomechanical system, the two optomechanical coupling strengths g 1 and g 2 take important roles in the spectrum features. It has been found that, in the single-photon scattering case, the single-photon strong-coupling condition g 1 > γ c is a necessary parameter condition for the exhibition of these phonon sideband peaks (the distance between neighboring phonon sideband peaks is ω M ) [53]. In addition, when g 2 /ω M ≪ 1, the parameter condition 2g 2 > γ c is the necessary condition for observation of subpeaks in each phonon sideband.…”

Section: Two-photon Scattering Spectramentioning

confidence: 99%

“…In particular, one of us (Liao) and coworkers [21] have shown that photon correlation can be induced by scattering two free photons by a first-order cavity optomechanical system. Based on the fact that the mixed cavity optomechanical system [47][48][49][50][51][52][53][54] is a general optomechanical platform, which includes the first-order optomechanical systems [55] and quadratic optomechanical systems [23,[56][57][58][59] as two special cases, a natural generalization is to study fewphoton scattering in the mixed cavity optomechanical system.…”

Section: Introductionmentioning

confidence: 99%

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Two-photon scattering in mixed cavity optomechanics

Chen,

Zhou,

Huang

et al. 2021

Preprint

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We study two-photon scattering in a mixed cavity optomechanical system, which is composed of a singlemode cavity field coupled to a single-mode mechanical oscillation via both the first-order and quadratic optomechanical interactions. By solving the scattering problem within the Wigner-Weisskopf framework, we obtain the analytical scattering state and find four physical processes associated with the two-photon scattering in this system. We calculate the two-photon scattering spectrum and find that two-photon frequency anticorrelation can be induced in the scattering process. We also establish the relationship between the parameters of the mixed cavity optomechanical system and the characteristics of the two-photon scattering spectrum. This work not only provides a scattering means to create correlated photon pairs, but also presents a spectrometric method to characterize the optomechanical systems.

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Section: Physical System and Hamiltonianmentioning

confidence: 99%

Section: Two-photon Scattering Spectramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two-photon scattering in mixed cavity optomechanics

Chen,

Zhou,

Huang

et al. 2021

Preprint

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“…Most previous studies in cavity optomechanics are focused on either the first-order or quadratic optomechanical systems. However, the mixed cavity optomechanical model [51][52][53][54][55][56][57][58] with both the first-order and quadratic optomechanical couplings is a more basic model, which has attracted much recent attention from the community of optomechanics. There have been lots of works about the mixed cavity optomechanical model, including squeezing and cooling of mechanical mode [52], harmonic generation of self-sustained oscillations [53], quantum nondemolition measurements of phonons [54], optomechanically induced transparency [55], conditional preparation of nonclassical states [56], spectrum of single-photon emission and scattering [57], and detection of weak forces [58].…”

Section: Introductionmentioning

confidence: 99%

Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics

Zhou,

Yin,

Liao

2021

Preprint

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We propose a reliable scheme to simulate tunable and ultrastrong mixed-optomechanical interactions in a coupled two-mode bosonic system, in which the two modes are coupled with each other via a cross-Kerr interaction and one of the two modes is driven through both the single-and two-excitation processes. We show that the mixed optomechanical interaction can enter the single-photon strong-coupling even ultrastrong-coupling regimes. The strengthes of both the first-order and quadratic optomechanical couplings can be controlled on demand, and hence first-order, quadratic, and mixed optomechanical models can be obtained. In particular, the thermal noise of the driven mode can be suppressed totally by introducing a proper squeezed vacuum bath. We also study how to generate the superposition of the coherent squeezed state and vacuum state based on the simulated interactions. The quantum coherence effect in the generated states is characterized by calculating the Wigner function in both the closed-and open-system cases. This work will pave the way to the observation and application of ultrastrong optomechanical effects in quantum simulators.

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“…) [44][45][46][47][48][49]. Here g 1 and g 2 refer to the respective coupling strength between the optical mode and the mechanical mode.…”

mentioning

confidence: 99%