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We show that the unitary evolution of a harmonic oscillator coupled to a two-level system can be undone by a suitable manipulation of the two-level system -- more specifically: by a quasi-instantaneous phase change. This enables us to…

量子物理 · 物理学 2010-03-26 Giovanna Morigi , Enrique Solano , Berthold-Georg Englert , Herbert Walther

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

数据分析、统计与概率 · 物理学 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

We study the synchronization of a superconducting qubit to an external optical field via a mechanical resonator in a hybrid optoelectromechanical system. The quantum trajectory method is employed to investigate synchronization. The…

量子物理 · 物理学 2023-02-08 Roson Nongthombam , Sampreet Kalita , Amarendra K. Sarma

We introduce an approximate phase-space technique to simulate the quantum dynamics of interacting bosons. With the future goal of treating Bose-Einstein condensate systems, the method is designed for systems with a natural separation into…

量子物理 · 物理学 2009-11-13 Scott E. Hoffmann , Joel F. Corney , Peter D. Drummond

We investigate a generalized Kuramoto phase-oscillator model with Hebb-like couplings that evolve according to a stochastic differential equation on various topologies. Numerical simulations show that even with identical oscillators, there…

统计力学 · 物理学 2014-04-15 A. Isakov , L. Mahadevan

We report the identification of global phase synchronization (GPS) in a linear array of unidirectionally coupled Mackey-Glass time-delay systems exhibiting highly non-phase-coherent chaotic attractors with complex topological structure. In…

混沌动力学 · 物理学 2015-05-19 R. Suresh , D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We consider an ensemble of globally coupled phase oscillators whose interaction is transmitted at finite speed. This introduces time delays, which make the spatial coordinates relevant in spite of the infinite range of the interaction. We…

统计力学 · 物理学 2007-05-23 Damian H. Zanette

Two types of phase synchronization (accordingly, two scenarios of breaking phase synchronization) between coupled stochastic oscillators are shown to exist depending on the discrepancy between the control parameters of interacting…

混沌动力学 · 物理学 2007-05-23 A. A. Koronovskii , M. K. Kurovskaya , O. I. Moskalenko , A. E. Hramov

We analyze the properties of order parameters measuring synchronization and phase locking in complex oscillator networks. First, we review network order parameters previously introduced and reveal several shortcomings: none of the…

适应与自组织系统 · 物理学 2017-09-15 Malte Schröder , Marc Timme , Dirk Witthaut

We consider an extension of Kuramoto's model of coupled phase oscillators where oscillator pairs interact with different strengths. When the coupling coefficient of each pair can be separated into two different factors, each one associated…

斑图形成与孤子 · 物理学 2009-11-13 Gabriel H. Paissan , Damian H. Zanette

A system's response to external periodic changes can provide crucial information about its dynamical properties. We investigate the synchronization transition, an archetypical example of a dynamic phase transition, in the framework of such…

统计力学 · 物理学 2012-02-28 Sang Hoon Lee , Sungmin Lee , Seung-Woo Son , Petter Holme

The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of coordinates and velocities. This is a rather…

微分几何 · 数学 2022-03-11 W. Sarlet , T. Mestdag

We report on a novel type of instability observed in a noisy oscillator unidirectionally coupled to a pacemaker. Using a phase oscillator model, we find that, as the coupling strength is increased, the noisy oscillator lags behind the…

适应与自组织系统 · 物理学 2015-06-23 Yasuaki Kobayashi , Hiroshi Kori

We consider a stochastic version of the so-called Brusselator - a mathematical model for a two-dimensional chemical reaction network - in which one of its parameters is assumed to vary randomly. It has been suggested via numerical…

动力系统 · 数学 2023-05-30 Maximilian Engel , Guillermo Olicón-Méndez

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach…

统计力学 · 物理学 2015-06-25 A. Diaz-Guilera , C. J. Perez-Vicente , A. Arenas

We study phase-synchronization in a driven two-level system coupled to a non-Markovian bosonic reservoir. The dynamics is described by treating the system-bath coupling and the coherent drive without invoking the rotating-wave…

量子物理 · 物理学 2026-02-18 Federico Settimo , Bassano Vacchini

We introduce and characterize two different measures which quantify the level of synchronization of interacting continuous variable quantum systems. The two measures allow to extend to the quantum domain the notions of complete and phase…

量子物理 · 物理学 2013-09-11 A. Mari , A. Farace , N. Didier , V. Giovannetti , R. Fazio

We study a Kuramoto-like model of coupled identical phase oscillators on a network, where attractive and repulsive couplings are balanced dynamically due to nonlinearity in interaction. Under a week force, an oscillator tends to follow the…

适应与自组织系统 · 物理学 2015-01-28 Celso Freitas , Elbert Macau , Arkady Pikovsky

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

新兴技术 · 计算机科学 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

By characterizing the phase dynamics in coupled oscillators, we gain insights into the fundamental phenomena of complex systems. The collective dynamics in oscillatory systems are often described by order parameters, which are insufficient…

数据分析、统计与概率 · 物理学 2021-03-24 Kazuha Itabashi , Quoc Hoan Tran , Yoshihiko Hasegawa
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