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We propose a coherent-control scheme for engineering quantum correlations in a cavity optomechanical (COM) system consisting of a driven optical cavity with an embedded nonlinear medium and a membrane, assisted by a coherent feedback loop.…

Quantum Physics · Physics 2026-04-21 Jinhao Jia , Yingru Li , Ran Liang , Mei Zhang

We study theoretically nonlinear effects arising from the presence of a Kerr-down conversion nonlinear crystal inside an optomechanical cavity. For this system we investigate the influences of the two nonlinearities, i.e., the Kerr…

Quantum Physics · Physics 2013-03-06 S. Shahidani , M. H. Naderi , M. Soltanolkotabi , Sh. Barzanjeh

We study synchronization of two dissipatively coupled Van der Pol oscillators in the quantum regime. Due to quantum noise strict frequency locking is absent and is replaced by a crossover from weak to strong frequency entrainment. We…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

We propose a system for observing the correlated phase dynamics of two mesoscopic ensembles of atoms through their collective coupling to an optical cavity. We find a dynamical quantum phase transition induced by pump noise and cavity…

Quantum Physics · Physics 2024-12-02 Minghui Xu , D. A. Tieri , E. C. Fine , James K. Thompson , M. J. Holland

The interaction between a high-frequency dilational mode of a thin dielectric film and an optical cavity field is studied theoretically in the membrane-in-the-middle setup. A derivation from first principles leads to a multi-mode…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 K. Borkje , S. M. Girvin

The nonlinear quantum regime is crucial for implementing interesting quantum effects, which have wide applications in modern quantum science. Here we propose an effective method to reach the nonlinear quantum regime in a modulated…

Quantum Physics · Physics 2017-12-27 Tai-Shuang Yin , Xin-You Lü , Li-Li Zheng , Mei Wang , Sha Li , Ying Wu

We implement nonlinear anharmonic interaction in the coupled van der Pol oscillators to investigate the quantum synchronization behaviour of the systems. We study the quantum synchronization in two oscillator models, coupled quantum van der…

Quantum Physics · Physics 2022-07-27 Niss Thomas , M. Senthilvelan

We propose a scheme to significantly increase quadratic optomechanical couplings of optomechanical systems with the help of a nonlinear medium and two driving lasers. The nonlinear medium is driven by one laser and the optical cavity mode…

Quantum Physics · Physics 2019-02-08 Jian-Song Zhang , Ai-Xi Chen

The synchronization of the motion of microresonators has attracted considerable attention. Here we present theoretical methods to synchronize the chaotic motion of two optical cavity modes in an optomechanical system, in which one of the…

Quantum Physics · Physics 2018-02-12 Nan Yang , Adam Miranowicz , Yong-Chun Liu , Keyu Xia , Franco Nori

Optomechanical cavities, with nonlinear photon-phonon interactions, offer a more compact approach to chaos generation than conventional feedback-based optical systems. However, proper study on chaos synchronization of two optomechanical…

Optics · Physics 2025-11-19 Souvik Mondal , Murilo S. Baptista , Kapil Debnath

Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Li\'enard system whose classical equivalent features two limit cycles to one of which the system will converge. In the…

Quantum Physics · Physics 2025-08-15 Tobias Kehrer , Christoph Bruder , Parvinder Solanki

We theoretically investigate two quantum modes interacting via local couplings to a dissipative field. Our model considers two mechanical modes with distinct frequencies coupled optomechanically to the same cavity mode. The dissipative…

Quantum Physics · Physics 2015-08-05 L. F. Buchmann , D. M. Stamper-Kurn

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli

Phonon nonlinearities play an important role in hybrid quantum networks and on-chip quantum devices. We investigate the phonon statistics of a mechanical oscillator in hybrid systems composed of an atom and one or two standard…

Quantum Physics · Physics 2018-06-12 Mei Wang , Xin-You Lü , Adam Miranowicz , Tai-Shuang Yin , Ying Wu , Franco Nori

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

Quantum Physics · Physics 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt

Quantum control of engineered mechanical oscillators can be achieved by coupling the oscillator to an auxiliary degree of freedom, provided that the coherent rate of energy exchange exceeds the decoherence rate of each of the two…

Quantum Physics · Physics 2015-05-28 E. Verhagen , S. Deléglise , S. Weis , A. Schliesser , T. J. Kippenberg

The quantum dynamics of optomechanical systems was mostly studied for their fluctuations around classical steady states. We present a theoretical approach to determining the system observables of optomechanical systems as genuine quantum…

Quantum Physics · Physics 2012-06-21 Bing He

We consider the phenomenon of mutual synchronization in a fundamental quantum system of two detuned quantum harmonic oscillators dissipating into the environment. We identify the conditions leading to this spontaneous phenomenon showing…

Quantum Physics · Physics 2012-05-08 Gian Luca Giorgi , Fernando Galve , Gonzalo Manzano , Pere Colet , Roberta Zambrini

We theoretically investigate the nonlinear effects in a hybrid quantum optomechanical system consisting of two optically coupled semiconductor microcavities containing a quantum dot and a Kerr nonlinear substrate.The steady state behavior…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Sonam Mahajan , Aranya B Bhattacherjee

Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In…