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Annalen der Physik

Nonreciprocal Enhancement of Optomechanical Entanglement Based on Sagnac Effect and Pump Modulation

Chen‐Qi Zhou, A‐Peng Liu, Qi Guo

Published Jul 12, 2025• 1 citation
Publisher

Abstract

Abstract A scheme is proposed to enhance the optomechanical entanglement nonreciprocally in a spinning cavity optomechanical system driven by a periodically modulated pump field. Based on the Sagnac effect induced by the resonator's spinning, the direction‐dependent frequency shifts are introduced to the counterpropagating optical modes. By combining the Sagnac effect with periodic pump modulation, the optomechanical entanglement can be enhanced nonreciprocally by a factor of about 1.67. It is shown that the negative effect of the backscattering losses on nonreciprocal entanglement enhancement can be eliminated by spinning the resonator. Meanwhile, the enhanced entanglement exhibits strong robustness against thermal noise, surviving even at environmental temperature up to 0.99 K. This work is expected to promote the development of nonreciprocal quantum networks and quantum control techniques.

DOI
10.1002/andp.202500167

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Abstract A scheme is proposed to enhance the optomechanical entanglement nonreciprocally in a spinning cavity optomechanical system driven by a periodically modulated pump field. Based on the Sagnac effect induced by the resonator's spinning, the direction‐dependent frequency shifts are introduced to the counterpropagating optical modes. By combining the Sagnac effect with periodic pump modulation, the optomechanical entanglement can be enhanced nonreciprocally by a factor of about 1.67. It is shown that the negative effect of the backscattering losses on nonreciprocal entanglement enhancement can be eliminated by spinning the resonator. Meanwhile, the enhanced entanglement exhibits strong robustness against thermal noise, surviving even at environmental temperature up to 0.99 K. This work is expected to promote the development of nonreciprocal quantum networks and quantum control techniques.
Abstract The nonreciprocal property of quantum systems is crucial for chiral quantum networks. In this study, a phase‐controlled scheme is proposed to enhance the nonreciprocal quantum entanglement and optical transmission in a cavity optomechanical system by introducing a phase‐dependent unidirectional coupling between two whispering‐gallery‐mode (WGM) resonators. The Sagnac effect induced by the spinning resonator generates nonreciprocity, while the interference effect between direct evanescent coupling and indirect phase‐dependent unidirectional coupling significantly enhances entanglement under the anti‐Stokes sideband. For specific coupling phases, ideal nonreciprocity can be achieved in both entanglement and transmission. The proposed phase‐controlled nonreciprocity presented offers an effective strategy for constructing a unidirectional quantum channel and implementing an optical diode in chiral quantum networks, thereby opening up new possibilities for applications in quantum technologies.
ABSTRACT Based on the Sagnac effect, we propose how to achieve nonreciprocal strong mechanical squeezing via periodic driving in a spinning microdisk optomechanical system. We find that the strong nonreciprocal squeezing effect happens when the system is driven by a periodically modulated pump in a chosen port but not in the other. By appropriately choosing the ratio of the optomechanical coupling sidebands, the squeezing degree in the steady state can far surpass the 3‐dB limit. We provide a detailed analysis of the underlying nonreciprocal squeezing mechanism by introducing the Bogoliubov mode and demonstrate that cooling it into ground state is the decisive factor to generate the nonreciprocal squeezing effect. We show that the proposed scheme has strong robustness against thermal noise and even for high thermal phonon occupation number , the 3‐dB squeezing limit still can be broken. Specifically, by utilizing the technique of adiabatic elimination of cavity mode, we obtain the analytical result of nonreciprocal squeezing, which matches very well with the numerical simulation. We also demonstrate that the generated nonreciprocal squeezing can be effectively measured by the output field in the experiment. Our scheme provides a potential path to manipulate nonreciprocal mechanical squeezing and also has significant applications ranging from nonreciprocal quantum metrology to directional quantum communication.
We propose how to achieve nonreciprocal quantum entanglement of light and motion and reveal its counterintuitive robustness against random losses. We find that by splitting the counterpropagating lights of a spinning resonator via the Sagnac effect, photons and phonons can be entangled strongly in a chosen direction but fully uncorrelated in the other. This makes it possible both to realize quantum nonreciprocity even in the absence of any classical nonreciprocity and also to achieve significant entanglement revival against backscattering losses in practical devices. Our work provides a way to protect and engineer quantum resources by utilizing diverse nonreciprocal devices, for building noise-tolerant quantum processors, realizing chiral networks, and backaction-immune quantum sensors.
Abstract Quantum entanglement between distant massive mechanical oscillators is an important resource in sensitive measurements and quantum information processing. We achieve the nonreciprocal mechanical entanglement in a compound optomechanical device consisting of two mechanical oscillators and a spinning whispering-gallery mode (WGM) optical microresonator. It is found that obvious nonreciprocal mechanical entanglement emerges in this system in the presence of the Sagnac effect which is induced by the rotation of the WGM resonator, and the nonreciprocal region can be controlled by tuning the angular velocity of the rotation. The nonreciprocity originates from the breaking of the time-reversal symmetry of this multimode system due to the presence of the Sagnac effect. The optomechanical coupling and the mechanical interaction provide cooling channels for the first and second mechanical oscillators, respectively. Two mechanical oscillators can be cooled simultaneously. The simultaneous cooling and the mechanical coupling of two mechanical oscillators ensure the generation of mechanical entanglement. Furthermore, an optimal mechanical entanglement can be achieved when the moderate optical frequency detuning and the driving power are chosen. The thermal noise of the mechanical environment has a negative effect on mechanical entanglement. Our scheme provides promising opportunities for research of quantum information processing based on phonons and sensitive measurements.
Abstract A scheme is proposed for generating and enhancing stable nonreciprocal entanglement in a spinning cavity magnomechanical system. The key components of this scheme include a ferromagnetic yttrium iron garnet sphere and a whispering gallery mode resonator supporting two counter‐propagating modes. To further optimize the performance of the system, a coherent feedback loop is introduced to reinject the dissipated energy back into the system. This not only provides an additional coupling path for the system but also effectively avoids introducing additional noise caused by measurement. The design significantly enhances both bipartite entanglement and genuine tripartite entanglement. Meanwhile, by spinning the resonator, the cavity modes experience Fizeau drag due to the optical Sagnac effect, thereby achieving nonreciprocal entanglement, which is crucial for applications such as unidirectional quantum communication channels. Additionally, the research demonstrates that even in the presence of backscattering, the entangled state can still recover significantly, highlighting the robustness of entanglement under photon backscattering. This work provides an effective method to enhance and protect quantum resources and holds important application potential for applications in quantum information processing based on magnonics.
We propose a scheme for achieving nonreciprocal phonon blockade in a quadratic optomechanical (QOM) system consisting of two spinning resonators near-field coupled to a nanomechanical oscillator. Due to the Sagnac-Fizeau effect, pump fields propagating in opposite directions experience distinct effective detunings,thereby leading to asymmetric intracavity intensities. Through the optical spring effect, this intensity imbalance gives rise to direction-dependent shifts in the effective mechanical frequency, providing the core mechanism for nonreciprocal phonon blockade. By judiciously setting parameters, single-phonon resonant excitation leads to conventional phonon blockade for one pump direction, whereas two-phonon resonance facilitates phononinduced tunneling (PIT) for the other. The pronounced nonreciprocity is quantified by a contrast ratio in the phonon second-order correlation function exceeding 55 dB. To elucidate the nonreciprocal statistics, the phonon blockade is further analyzed in terms of interference between the coherent component and squeezed fluctuations. Incorporating thermal phonons, we reveal an extended nonreciprocal thermal effect, where increasing thermal noise degrades antibunching toward Poissonian statistics in one direction, yet reverses the statistics from bunching to antibunching in the opposite direction. Our work provides a pathway toward nonreciprocal phonon devices and directional phonon switches, with potential applications in chiral networks and phononic information processing.