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Annalen der Physik

Generation of an Enhanced Multi‐Mode Optomechanical‐Like Quantum System and Its Application in Creating Hybrid Entangled States

Qi‐Cheng Wu, Y. H. Zhou, Biao‐Liang Ye, Tong Liu, Jun‐Long Zhao, Dong‐Xu Chen, Chui‐Ping Yang

Published Jan 18, 2022• 10 citations
Publisher

Abstract

Abstract Realizing strong optomechanical interaction at a few‐photon level is one of the most significant tasks in optomechanical physics. In this paper, an efficient approach to realize an enhanced optomechanical‐like coupling in a cross‐Kerr‐type coupled three‐mode optical cavity system via a driving field is presented. It is shown that the optomechanical‐like coupling can be strongly enhanced to enter the ultrastrong‐coupling regime, and the effects of cavity field damping can be effectively restrained by adjusting the driving field and the cavity frequencies. In addition, as an application of the enhanced multimode optomechanical‐like quantum system, a scheme is propsed to deterministically generate a hybrid Greenberger–Horne–Zeilinger state. Numerical simulation reveals that the scheme is reliable and robust against various dissipation effects and the fluctuations of control parameters in current technology. This work has potential applications in quantum information processing and paves the way for the study of multimode optomechanical systems.

DOI
10.1002/andp.202100393

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Abstract Realizing strong optomechanical interaction at a few‐photon level is one of the most significant tasks in optomechanical physics. In this paper, an efficient approach to realize an enhanced optomechanical‐like coupling in a cross‐Kerr‐type coupled three‐mode optical cavity system via a driving field is presented. It is shown that the optomechanical‐like coupling can be strongly enhanced to enter the ultrastrong‐coupling regime, and the effects of cavity field damping can be effectively restrained by adjusting the driving field and the cavity frequencies. In addition, as an application of the enhanced multimode optomechanical‐like quantum system, a scheme is propsed to deterministically generate a hybrid Greenberger–Horne–Zeilinger state. Numerical simulation reveals that the scheme is reliable and robust against various dissipation effects and the fluctuations of control parameters in current technology. This work has potential applications in quantum information processing and paves the way for the study of multimode optomechanical systems.
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Abstract Strong cross‐Kerr nonlinearity at the single‐photon level is crucial for various quantum applications, but usually very difficult to achieve. In this work, an efficient method to generate and exponentially enhance the cross‐Kerr nonlinearity in quantum optomechanics of two optical cavities coupled to a common mechanical resonator is proposed. Through periodically modulating the mechanical spring constant, a nonlinear two‐phonon drive can be acquired to amplify the mechanical zero‐point fluctuations. As a result, the exponentially enhanced cross‐Kerr interaction between the two optical modes can be realized via the amplified mechanical motion. The distinct feature of this scheme is that a true enhancement of cross‐Kerr nonlinearity can be achieved at the single‐photon level. As intriguing applications, it is also also proposed to generate anticorrelated photon blockade and stabilize one‐photon Fock state based on the enhanced nonlinearity. The present work may provide an appealing way for creating strong cross‐Kerr coupling.
ABSTRACT In this paper, we investigate how to achieve strong optomechanical entanglement and mechanical squeezing in a membrane‐embedded cavity optomechanical system incorporating a coherent feedback loop, where the membrane interacts with the cavity mode through both linear and quadratic optomechanical couplings. This hybrid optomechanical architecture offers a flexible tunability of intrinsic system parameters, thereby enabling controlled stiffening or softening of the mechanical mode through adjusting quadratic optomechanical coupling, as well as effective modulation of the cavity decay rate via feedback control. More importantly, the synergistic interplay effect allows for a strategic reconfiguration of the system's stability regime, which in turn permits the presence of significantly enhanced effective optomechanical coupling strengths before entering the unstable regime. Exploiting these unique features, we showcase that optomechanical entanglement can be substantially enhanced with positive coupling sign and suitable feedback parameters, while strong mechanical squeezing beyond the 3dB limit is simultaneously achieved over a broad parameter range with negative coupling sign, reaching squeezing degree above 10dB under optimized conditions. Our proposal, establishing an all‐optical method for generating highly entangled or squeezed states in cavity optomechanical systems, opens up a new route to explore macroscopic quantum effects and to advance quantum information processing.
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