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We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

Classically, the tendency towards spontaneous synchronization is strongest if the natural frequencies of the self-oscillators are as close as possible. We show that this wisdom fails in the deep quantum regime, where the uncertainty of…

Quantum Physics · Physics 2017-06-23 Niels Lörch , Simon E. Nigg , Andreas Nunnenkamp , Rakesh P. Tiwari , Christoph Bruder

We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spinbased limit-cycle oscillators, which coincides with the quantum optical vdP oscillator in the high-spin limit. The system is described as a…

Adaptation and Self-Organizing Systems · Physics 2025-11-20 Yuzuru Kato , Hiroya Nakao

The synchronization of coupled organ pipes represents a nonlinear phenomenon with significant implications for both musical acoustics and nonlinear dynamics. This study investigates the coupling mechanisms governing synchronization,…

Adaptation and Self-Organizing Systems · Physics 2025-04-02 Jakub Sawicki

Phase synchronization refers to a kind of collective phenomenon that the phase difference between two or more systems is locked, and it has widely been investigated between systems with the identical physical properties, such as the…

Quantum Physics · Physics 2020-06-08 Shao-Qiang Ma , Xiao Zheng , Guo-Feng Zhang

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

Quantum Physics · Physics 2019-09-04 Loic Henriet

It is often conjectured that quantum synchronisation and entanglement are two independent properties which two coupled quantum systems may not exhibit at the same time. However, as both these properties can be understood in terms of the…

Quantum Physics · Physics 2023-05-09 Devender Garg , Manju , Shubhrangshu Dasgupta , Asoka Biswas

Synchronization of coupled harmonic oscillators is investigated. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the first and third quadrants) of some projection of the…

Dynamical Systems · Mathematics 2009-08-04 S. Emre Tuna

Phonon blockade is a purely quantum phenomenon, analogous to Coulomb and photon blockades, in which a single phonon in an anharmonic mechanical resonator can impede the excitation of a second phonon. We propose an experimental method to…

Quantum Physics · Physics 2016-07-01 Xin Wang , Adam Miranowicz , Hong-Rong Li , Franco Nori

We show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol oscillators without mutual coupling, each with an additional…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Yuzuru Kato , Hiroya Nakao

This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of the forcing displaying multiple preferred phases. Here we analyze…

Quantum Physics · Physics 2021-10-26 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

Oscillator networks found in social and biological systems are characterized by the presence of wide ranges of coupling strengths and complex organization. Yet robustness and synchronization of oscillations are found to emerge on…

Physics and Society · Physics 2019-12-17 Daniel Monsivais , Kunal Bhattacharya , Rafael A. Barrio , Philip K. Maini , Kimmo K. Kaski

We develop an analytical framework to study the synchronization of a quantum self-sustained oscillator to an external signal. Our unified description allows us to identify the resource on which quantum synchronization relies, and to compare…

Quantum Physics · Physics 2019-04-09 Martin Koppenhöfer , Alexandre Roulet

In addition to a common synchronization and/or localization behavior, a system of linearly coupled identical bistable Van der Pol (BVdP) oscillators can exhibit a "non-conventional" or "modal" synchronization. In two-DOF case, one can…

Pattern Formation and Solitons · Physics 2024-10-23 Y. Wolfovich , O. V. Gendelman

We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit cycles van der Pol oscillators. Such…

Chaotic Dynamics · Physics 2010-01-24 R. Yamapi , H. G. Enjieu Kadji , G. Filatrella

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple…

Quantum Physics · Physics 2025-06-24 Tong Liu , Laura García-Álvarez , Giovanna Tancredi

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes