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The model of a double-well oscillator with nonlinear dissipation is studied. The self-sustained oscillations regime and the excitable one are described. The first regime consists in the coexistence of two stable limit cycles in the phase…

Adaptation and Self-Organizing Systems · Physics 2017-05-10 Vladimir V. Semenov

We analyze two-time correlators as the most natural characteristic of a propagating quadrature-squeezed field in the transient regime. The considered system is a parametrically driven resonator with a time-dependent drive. Using a…

Quantum Physics · Physics 2019-04-17 Juan Atalaya , Mostafa Khezri , Alexander N. Korotkov

After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusion of independent random forcing in these models typically…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Jeremy Worsfold , Tim Rogers

We elucidate how the strong coupling phases of a coupled driven model, originally proposed in S. Mukherjee, Phys. Rev. E 108, 024219 (2023), are affected by noise cross correlations in general dimensions $d$. This model has two dynamical…

Statistical Mechanics · Physics 2025-09-23 Sudip Mukherjee

The time-dependent scaling of the two-time autocorrelation function of spin systems without disorder undergoing phase-ordering kinetics is considered. Its form is shown to be determined by an extension of dynamical scaling to a local…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Alan Picone , Michel Pleimling

We study the effects of noise cross-correlations on the steady states of driven, nonequilibrium systems, which are described by two stochastically driven dynamical variables, in one dimension. We use a well-known stochastically driven…

Statistical Mechanics · Physics 2023-08-24 Sudip Mukherjee

We study spatial noise correlations in a Si/SiGe two-qubit device with integrated micromagnets. Our method relies on the concept of decoherence-free subspaces, whereby we measure the coherence time for two different Bell states, designed to…

The influence of the noise on the long-time ageing dynamics of a quenched ferromagnetic spin system with a non-conserved order parameter and described through a Langevin equation with a thermal noise term and a disordered initial state is…

Statistical Mechanics · Physics 2007-05-23 Alan Picone , Malte Henkel

We study sustained oscillations in two-dimensional oscillator systems driven by Rayleigh-type negative friction. In particular we investigate the influence of mismatch of the two frequencies. Further we study the influence of external noise…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Udo Erdmann , Werner Ebeling

We present the results of a study of the two-time correlation functions of a dichotomously driven two-level system in contact with a thermal bath by using corrections beyond the quantum regression theorem. In the strong system-environment…

Quantum Physics · Physics 2021-09-03 Arzu Kurt

A time-dependent bias voltage on a tunnel junction generates a time-dependent modulation of its current fluctuations, and in particular of its variance. This translates into an excitation at frequency $\tilde{f}$ generating correlations…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Clovis Farley , Edouard Pinsolle , Bertrand Reulet

Frequency instabilities are a major source of errors in quantum devices. This study investigates frequency fluctuations in a surface acoustic wave (SAW) resonator, where reflection coefficients of 14 SAW modes are measured simultaneously…

Quantum Physics · Physics 2024-06-11 Nuttamas Tubsrinuan , Jared H. Cole , Per Delsing , Gustav Andersson

We examine the impact of time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and…

Chaotic Dynamics · Physics 2024-08-30 Esmaeil Mahdavi , Mina Zarei , Farhad Shahbazi

Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise.…

Pattern Formation and Solitons · Physics 2026-01-27 Jason Hindes , Ira B. Schwartz , Melvyn Tyloo

Dynamical correlations of various local operators are studied in the spin-half two-channel Kondo (2CK) model in the presence of channel anisotropy or external magnetic field. A conformal field theory-based scaling approach is used to…

Strongly Correlated Electrons · Physics 2009-11-13 A. I. Toth , G. Zarand

We consider a system of globally-coupled phase-only oscillators with distributed intrinsic frequencies and evolving in presence of distributed Gaussian, white noise, namely, a Gaussian, white noise whose strength for every oscillator is a…

Statistical Mechanics · Physics 2023-12-20 Alessandro Campa , Shamik Gupta

Humans face the task of balancing dynamic systems near an unstable equilibrium repeatedly throughout their lives. Much research has been aimed at understanding the mechanisms of intermittent control in the context of human balance control.…

Neurons and Cognition · Quantitative Biology 2016-09-14 Arkady Zgonnikov , Ihor Lubashevsky

We analyze the influence of classical Gaussian noise on Landau-Zener transitions during a two-level crossing in a time-dependent regular external field. Transition probabilities and coherence factors become random due to the noise. We…

Statistical Mechanics · Physics 2009-11-10 V. L. Pokrovsky , S. Scheidl

We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The…

Pattern Formation and Solitons · Physics 2011-09-27 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

We consider the problem of two-level system dynamics induced by the time-dependent field B={a(t)cos\omega t,a(t)sin\omega t,\omega_0}, with a(t) \sim cn(\nu t,k). The problem is exactly analytically solvable and we propose the scheme for…

Mathematical Physics · Physics 2011-12-13 Yu. V. Bezvershenko , P. I. Holod
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