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Classical self-sustained oscillators, that generate periodic motion without periodic external forcing, are ubiquitous in science and technology. The realization of nonclassical self-oscillators is an important goal of quantum physics. We…

量子物理 · 物理学 2025-04-02 Yi Li , Zihan Xie , Xiaodong Yang , Yue Li , Xingyu Zhao , Xu Cheng , Xinhua Peng , Jun Li , Eric Lutz , Yiheng Lin , Jiangfeng Du

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We employ a quantum trajectory approach to characterize synchronization and phase-locking between open quantum systems in nonequilibrium steady states. We exemplify our proposal for the paradigmatic case of two quantum Van der Pol…

量子物理 · 物理学 2020-05-12 Najmeh Es'haqi-Sani , Gonzalo Manzano , Roberta Zambrini , Rosario Fazio

Van der Pol oscillators are prototypical self-sustaining oscillators which have been used to model nonlinear processes in biological and other classical processes. In this work, we investigate how quantum fluctuations affect phase-locking…

量子物理 · 物理学 2013-12-05 Tony E. Lee , H. R. Sadeghpour

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…

量子物理 · 物理学 2022-07-27 Niss Thomas , M. Senthilvelan

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…

介观与纳米尺度物理 · 物理学 2015-01-15 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

Achieving synchronized quantum states within the quantum realm is a significant goal. This regime is characterized by restricted excitation occurrences and a highly nonclassical stable state of the self-oscillating system. However, many…

量子物理 · 物理学 2025-04-15 M. Preethi , M. Senthilvelan

Recently, the synchronization of coupled quantum oscillators has attracted a great deal of interest. Synchronization requires driven constituents, and in such systems, the coupling can be designed to be nonreciprocal. Nonreciprocally…

量子物理 · 物理学 2025-07-29 Tobias Kehrer , Christoph Bruder

Recently, several studies have investigated synchronization in quantum-mechanical limit-cycle oscillators. However, the quantum nature of these systems remained partially hidden, since the dynamics of the oscillator's phase was overdamped…

量子物理 · 物理学 2017-04-19 Talitha Weiss , Stefan Walter , Florian Marquardt

To observe synchronization in a large network of classical or quantum systems demands both excellent control of the interactions between the nodes and very accurate preparation of the initial conditions due to the involved nonlinearities…

量子物理 · 物理学 2023-04-14 Christopher W. Wächtler , Gloria Platero

Macroscopic ensembles of radiating dipoles are ubiquitous in the physical and natural sciences. In the classical limit the dipoles can be described as damped-driven oscillators, which are able to spontaneously synchronize and collectively…

Synchronization in quantum systems has been recently studied through persistent oscillations of local observables, which stem from undamped modes of the dissipative dynamics. However, the existence of such modes requires fine-tuning the…

量子物理 · 物理学 2025-10-14 Yi J. Zhao , Joel E. Moore , Juzar Thingna , Christopher W. Wächtler

The synchronization properties of two self-sustained quantum oscillators are studied in the Wigner representation. Instead of considering the quantum limit of the quantum van-der-Pol master equation we derive the quantum master equation…

统计力学 · 物理学 2015-06-12 Lisa Morgan , Haye Hinrichsen

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative systems exhibiting limit-cycle oscillations are reduced to a…

适应与自组织系统 · 物理学 2019-10-16 Yuzuru Kato , Naoki Yamamoto , Hiroya Nakao

We analyse the properties of the synchronisation transition in a many-body system consisting of quantum van der Pol oscillators with all-to-all coupling using a self-consistent mean-field method. We find that the synchronised state, which…

量子物理 · 物理学 2018-11-14 C. Davis-Tilley , C. K. Teoh , A. D. Armour

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…

量子物理 · 物理学 2023-05-09 Devender Garg , Manju , Shubhrangshu Dasgupta , Asoka Biswas

Limit-cycle oscillators are the basic building blocks for synchronization; yet, the notion of a quantum limit cycle has remained unclear. Here, we study quantum limit cycles and synchronization in the presence of continuous heterodyne…

量子物理 · 物理学 2026-04-16 Tobias Nadolny , Christoph Bruder

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

量子物理 · 物理学 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro

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…

混沌动力学 · 物理学 2010-01-24 R. Yamapi , H. G. Enjieu Kadji , G. Filatrella

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

统计力学 · 物理学 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong
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