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In this paper we study the cooperation between coherent control and noises in open spin systems, aiming to demonstrate that such cooperation can provide new possibilities for parametrization in quantum metrology. The cooperative scheme…

量子物理 · 物理学 2023-11-22 Yu Chen , Zibo Miao , Haidong Yuan

Synchronization is a widespread phenomenon in science and technology. We here study noise-induced synchronization in a quantum spin chain subjected to local Gaussian white noise. We demonstrate stable (anti)synchronization between the…

量子物理 · 物理学 2022-12-20 Finn Schmolke , Eric Lutz

Synchronization and anti- Synchronization between two Generalized Lorenz Systems coupled in a master slave configuration is investigated. Coupling between the master and slave is enabled through a non-linear control mechanism.…

信号处理 · 电气工程与系统科学 2018-05-04 Venkadessan Ramiya Gowse , Balan Palanivel , Sivaraman Sivaprakasam

We study a spontaneous collapse model for a two-level (spin) system, in which the Hamiltonian and the stochastic terms do not commute. The numerical solution of the equations of motions allows to give precise estimates on the regime at…

量子物理 · 物理学 2009-11-10 A. Bassi , E. Ippoliti

We obtain exact results on autocorrelation of the order parameter in the nonequilibrium stationary state of a paradigmatic model of spontaneous collective synchronization, the Kuramoto model of coupled oscillators, evolving in presence of…

统计力学 · 物理学 2018-10-10 Debraj Das , Shamik Gupta

This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks. A corresponding random dynamical system is formulated in a two-step procedure, at…

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

光学 · 物理学 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

This paper studies the effects of a time-delayed feedback control on the appearance and development of spatiotemporal patterns in a reaction-diffusion system. Different types of control schemes are investigated, including single-species,…

混沌动力学 · 物理学 2012-09-21 Y. N. Kyrychko , K. B. Blyuss , S. J. Hogan , E. Schoell

Recently it has been found that different physical systems driven by identical random noise behave exactly identical after a long time. It is also suggested that this is an outcome of finite precision in numerical experiments. Here we show…

chao-dyn · 物理学 2009-10-28 P. M. Gade , Chaitali Basu

Echoes arise when external manipulations to a system induce a reversal of its time evolution that leads to a more or less perfect recovery of the initial state. We discuss the accuracy with which a cloud of trajectories returns to the…

混沌动力学 · 物理学 2009-11-07 Bruno Eckhardt

Self-sustained convective dynamos in planetary systems operate in an asymptotic regime of rapid rotation, where a balance is thought to hold between the Coriolis, pressure, buoyancy and Lorentz forces (the MAC balance). Classical numerical…

地球物理 · 物理学 2018-03-30 Julien Aubert , Thomas Gastine , Alexandre Fournier

We continue the analysis of models of spontaneous wave function collapse with stochastic dynamics driven by non-white Gaussian noise. We specialize to a model in which a classical "noise" field, with specified autocorrelator, is coupled to…

量子物理 · 物理学 2009-11-13 Stephen L. Adler , Angelo Bassi

We study synchronisation between periodically driven, interacting classical spins undergoing a Hamiltonian dynamics. In the thermodynamic limit there is a transition between a regime where all the spins oscillate synchronously for an…

统计力学 · 物理学 2019-11-06 Reyhaneh Khasseh , Rosario Fazio , Stefano Ruffo , Angelo Russomanno

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise. We show that in some cases, in particular when…

概率论 · 数学 2012-02-09 Martin Hairer , David Kelly

We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of…

适应与自组织系统 · 物理学 2015-06-16 F. Ionita , D. Labavic , M. A. Zaks , H. Meyer-Ortmanns

We discuss the possibility of simultaneous and sequential synchronisation in vertical and horizontal arrays of unidirectionally coupled discrete systems. This is realized for the specific case of two dimensional Gumowski-Mira maps. The…

混沌动力学 · 物理学 2007-07-24 G Ambika , K Ambika

Two replicas of spatially extended chaotic systems synchronize to a common spatio-temporal chaotic state when coupled above a critical strength. As a prototype of each single spatio-temporal chaotic system a lattice of maps interacting via…

混沌动力学 · 物理学 2008-09-23 M. Cencini , C. J. Tessone , A. Torcini

This paper addresses the oscillatory synchronization problem for multiple uncertain mechanical systems with a virtual leader, and the interaction topology among them is assumed to contain a directed spanning tree. We propose an adaptive…

系统与控制 · 计算机科学 2015-03-18 Hanlei Wang

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction.…

混沌动力学 · 物理学 2009-11-11 M. Pineda , M. G. Cosenza