Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Optical Society of America B

Engineering optomechanical normal modes for single-phonon transfer and entanglement preparation

Fuchuan Lei, Ming Gao, Chunguang Du, Shi‐Yao Hou, Yang Xu, Gui Lu Long

Published Mar 10, 2015• 7 citations
Publisher

Abstract

We propose a scheme that exploits the effect of normal-mode splitting in a three-mode optomechanical system (OMS) to manipulate phonons in a single-excitation level. The three normal modes of the OMS are formed by coupling two mechanical modes to a cavity mode, which is driven by a strong red-detuned pump field via radiation pressure. It is shown that the Landau–Zener dynamics of the three-normal-mode configuration is versatile for quantum information engineering. Explicitly, we show that it is feasible to transfer a single phonon between two mechanical modes with distinct frequencies, and an entangled W state among the three modes can be prepared. The effect of damping is analyzed by numerical simulation, which confirms the validity of our proposal.

DOI
10.1364/josab.32.000588

Related papers

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

Xun‐Wei Xu, Yan-Jun Zhao, Yu-xi Liu

We propose an efficient method to generate entangled states of vibrational modes of membranes which are coupled to a single-mode cavity field via the radiation pressure. By using sideband excitations, we show that arbitrary entangled states of vibrational modes in 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, such as Bell states, NOON states, Greenberger-Horne-Zeilinger states, and W states. The environmental effect, information leakage, and experimental feasibility are briefly discussed. Our proposal can be applied to different setups of optomechanical systems, in which vibrating modes of many mechanical resonators are coupled to a single-mode cavity.

arXiv:1303.0077•Physical Review A•Aug 20, 2013•78 citations

Controlling Normal‐Mode Splitting and Entanglement in an Optomechanical Cavity With Resonant Atomic Gain and Absorption

Hamad Ali, Abdul Basit, Zhao Ying‐jie

ABSTRACT Hybrid optomechanical systems that combine a cavity field, mechanical motion, and intracavity atomic media offer a versatile platform for engineering normal‐mode structure and macroscopic quantum correlations. Most atom‐assisted systems rely on passive absorbing media, leaving the role of an inverted ensemble acting as a resonant intracavity gain element largely unexplored. Here, we investigate a driven optomechanical cavity containing a movable mirror and two resonant atomic ensembles, one prepared in its ground state and the other inverted, thereby realizing a combined absorptive–amplifying intracavity response. We find that the inverted ensemble acts as an active control resource: tuning the gain coupling reshapes the hybrid‐mode structure and produces resolved normal‐mode peaks in both the mechanical and optical spectra, while the absorbing ensemble independently sets the mode linewidths and relative peak amplitudes. The coupling parameters control and redistribute the bipartite and tripartite Gaussian entanglement shared among the optical, mechanical, and atomic modes, with the mechanical thermal occupation setting the robustness of the correlations. Formulated with experimentally feasible parameters of existing strong‐coupling optomechanics, the scheme provides a tunable route to controlling normal‐mode splitting and quantum correlations in hybrid quantum systems.

Advanced Quantum Technologies•Sep 1, 2026•0 citations

Generation of large tripartite entanglement in optomechanical systems

Pu Liu, X. Y. Zhang, Xiao‐Lei Hao +2 more

We theoretically propose a scheme to generate strong genuine tripartite entanglement among three mechanical oscillators in a multimode optomechanical system. In our setup, each mechanical oscillator is independently coupled to three optical modes supported by a single optical cavity, with each optical mode driven by a six-tone driving field. By appropriately tailoring the amplitudes of the driving fields, the mechanical steady state can be engineered into a three-mode squeezed vacuum state exhibiting significant genuine tripartite entanglement. We further investigate the effects of mechanical thermal reservoirs and demonstrate that the entanglement generated by our scheme persists at a significant level even at dilution refrigerator temperatures. Our results offer a feasible route toward the generation and utilization of multipartite entanglement in quantum optomechanical platforms, with potential applications in quantum devices.

Physical Review A•Oct 15, 2025•1 citation

Generation of robust tripartite entanglement with a single-cavity optomechanical system

Xihua Yang, Yang Ling, Xuping Shao +1 more

We present a proposal to generate robust tripartite optomechanical entanglement with a single-cavity optomechanical system driven by a single input laser field. The produced stationary tripartite entanglement among two longitudinal cavity modes and a mirror oscillation mode via radiation pressure force exhibits robustness to the variation of the environment temperature when the cavity free spectral range is close to the mechanical oscillation frequency. The present optomechanical system can serve as an alternative intermediary for quantum-state exchange between two microwave (or optical) fields as well as between photons and the macroscopic mechanical oscillator, and may be potentially useful for quantum information processing and quantum networks.

Physical Review A•May 1, 2017•39 citations

Nonclassical non-Gaussian state of a mechanical resonator via selectively incoherent damping in a three-mode optomechanical system

Kang-jing Huang, Yan Yan, Jia‐pei Zhu +2 more

In this paper we propose a scheme for the generation of a nonclassical non-Gaussian motional state of a mechanical resonator (MR) in the three-mode optomechanical system in which two linearly coupled single-mode cavities interact dispersively with the mechanical oscillator simultaneously. With one cavity driven by a weak laser field and by properly tuning the driving frequency, a desirable phononic Liouvillian superoperator can be obtained by engineering the selective interaction Hamiltonian confined to Fock subspaces. It is shown that the MR can be driven dissipatively into a steady non-Gaussian nonclassical state, which possesses sub-Poisson statistics, although its Wigner function is positive. The present scheme can be useful for obtaining single phonons.

arXiv:1511.04859•Physical Review A•Mar 18, 2016•3 citations

Generating two-mechanical mode entangled cat states, and steady-state entanglement, in cavity optomechanics in the presence of dissipation

Sanket Das, Jason Twamley

We investigate a dissipation-engineering approach to produce a phase-dependent collective-mode Schrödinger cat state involving two modes. Our model features a single cavity mode that interacts with two spectrally identical mechanical oscillators. Both oscillators are coupled through a phase-dependent hopping interaction. We demonstrate that by adjusting the phase of the phonon-hopping interaction, one can control the bipartite entanglement of the phase-dependent two-mode cat state during its generation. Additionally, our study reveals that phonon interactions act as a tunable parameter, enabling the manipulation of steady-state entanglement between the bare mechanical modes, even in the presence of environmental effects and thermal excitations. Our scheme provides a feasible approach for the phase-dependent multi mode non-Gaussian states preparation.

quant-pharXiv:2608.05503•Aug 7, 2026•0 citations
We propose a scheme that exploits the effect of normal-mode splitting in a three-mode optomechanical system (OMS) to manipulate phonons in a single-excitation level. The three normal modes of the OMS are formed by coupling two mechanical modes to a cavity mode, which is driven by a strong red-detuned pump field via radiation pressure. It is shown that the Landau–Zener dynamics of the three-normal-mode configuration is versatile for quantum information engineering. Explicitly, we show that it is feasible to transfer a single phonon between two mechanical modes with distinct frequencies, and an entangled W state among the three modes can be prepared. The effect of damping is analyzed by numerical simulation, which confirms the validity of our proposal.
We propose an efficient method to generate entangled states of vibrational modes of membranes which are coupled to a single-mode cavity field via the radiation pressure. By using sideband excitations, we show that arbitrary entangled states of vibrational modes in 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, such as Bell states, NOON states, Greenberger-Horne-Zeilinger states, and W states. The environmental effect, information leakage, and experimental feasibility are briefly discussed. Our proposal can be applied to different setups of optomechanical systems, in which vibrating modes of many mechanical resonators are coupled to a single-mode cavity.
ABSTRACT Hybrid optomechanical systems that combine a cavity field, mechanical motion, and intracavity atomic media offer a versatile platform for engineering normal‐mode structure and macroscopic quantum correlations. Most atom‐assisted systems rely on passive absorbing media, leaving the role of an inverted ensemble acting as a resonant intracavity gain element largely unexplored. Here, we investigate a driven optomechanical cavity containing a movable mirror and two resonant atomic ensembles, one prepared in its ground state and the other inverted, thereby realizing a combined absorptive–amplifying intracavity response. We find that the inverted ensemble acts as an active control resource: tuning the gain coupling reshapes the hybrid‐mode structure and produces resolved normal‐mode peaks in both the mechanical and optical spectra, while the absorbing ensemble independently sets the mode linewidths and relative peak amplitudes. The coupling parameters control and redistribute the bipartite and tripartite Gaussian entanglement shared among the optical, mechanical, and atomic modes, with the mechanical thermal occupation setting the robustness of the correlations. Formulated with experimentally feasible parameters of existing strong‐coupling optomechanics, the scheme provides a tunable route to controlling normal‐mode splitting and quantum correlations in hybrid quantum systems.
We theoretically propose a scheme to generate strong genuine tripartite entanglement among three mechanical oscillators in a multimode optomechanical system. In our setup, each mechanical oscillator is independently coupled to three optical modes supported by a single optical cavity, with each optical mode driven by a six-tone driving field. By appropriately tailoring the amplitudes of the driving fields, the mechanical steady state can be engineered into a three-mode squeezed vacuum state exhibiting significant genuine tripartite entanglement. We further investigate the effects of mechanical thermal reservoirs and demonstrate that the entanglement generated by our scheme persists at a significant level even at dilution refrigerator temperatures. Our results offer a feasible route toward the generation and utilization of multipartite entanglement in quantum optomechanical platforms, with potential applications in quantum devices.
We present a proposal to generate robust tripartite optomechanical entanglement with a single-cavity optomechanical system driven by a single input laser field. The produced stationary tripartite entanglement among two longitudinal cavity modes and a mirror oscillation mode via radiation pressure force exhibits robustness to the variation of the environment temperature when the cavity free spectral range is close to the mechanical oscillation frequency. The present optomechanical system can serve as an alternative intermediary for quantum-state exchange between two microwave (or optical) fields as well as between photons and the macroscopic mechanical oscillator, and may be potentially useful for quantum information processing and quantum networks.
In this paper we propose a scheme for the generation of a nonclassical non-Gaussian motional state of a mechanical resonator (MR) in the three-mode optomechanical system in which two linearly coupled single-mode cavities interact dispersively with the mechanical oscillator simultaneously. With one cavity driven by a weak laser field and by properly tuning the driving frequency, a desirable phononic Liouvillian superoperator can be obtained by engineering the selective interaction Hamiltonian confined to Fock subspaces. It is shown that the MR can be driven dissipatively into a steady non-Gaussian nonclassical state, which possesses sub-Poisson statistics, although its Wigner function is positive. The present scheme can be useful for obtaining single phonons.
We investigate a dissipation-engineering approach to produce a phase-dependent collective-mode Schrödinger cat state involving two modes. Our model features a single cavity mode that interacts with two spectrally identical mechanical oscillators. Both oscillators are coupled through a phase-dependent hopping interaction. We demonstrate that by adjusting the phase of the phonon-hopping interaction, one can control the bipartite entanglement of the phase-dependent two-mode cat state during its generation. Additionally, our study reveals that phonon interactions act as a tunable parameter, enabling the manipulation of steady-state entanglement between the bare mechanical modes, even in the presence of environmental effects and thermal excitations. Our scheme provides a feasible approach for the phase-dependent multi mode non-Gaussian states preparation.