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The synchronization transition of correlated ensembles of coupled Kuramoto oscillators on sparse random networks is investigated. Extensive numerical simulations show that correlations between the native frequencies of adjacent oscillators…

Statistical Mechanics · Physics 2010-06-16 Markus Brede

We show theoretically that the dynamics of cold atoms in the lowest energy band of a stationary optical lattice can be transformed and controlled by a second, weaker, periodic potential moving at a constant speed along the axis of the…

Quantum Gases · Physics 2013-01-16 M. T. Greenaway , A. G. Balanov , T. M. Fromhold

An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few mediators (hubs) can synchronize when the…

Chaotic Dynamics · Physics 2015-06-04 Elad Cohen , Michael Rosenbluh , Ido Kanter

When an electromagnetic field in a coherent or quasiclassical (e.g., squeezed) state is used to simultaneously drive an ensemble of two-level atoms, the quantum nature of the field will, in general, cause the final state of the atoms to…

Quantum Physics · Physics 2025-08-12 Hunter Lindemann , Shanon Vuglar , Julio Gea-Banacloche

We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state and in the presence of an oscillating mirror. We assume that the two atoms, one in the…

We investigate the quantum dynamics of an atomic mixture composed of two multi-atom ensembles. Each ensemble is driven separately by a coherent laser field, respectively, and dampens via the interactions with the environmental vacuum…

Quantum Physics · Physics 2017-06-02 Luling Jin , Jörg Evers , Mihai Macovei

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

A class of adaptation functions is found for which a synchronous oscillation mode exists in the network of phase oscillators with triadic couplings. It is shown that the destruction of the synchronous mode occurs differently for networks…

Chaotic Dynamics · Physics 2023-11-13 Anastasiia Emelianova , Vladimir Nekorkin

The collective dynamics of mobile scatterers and light in optical resonators generates complex behaviour. For strong transverse illumination a phase transition from homogeneous to crystalline particle order appears. In contrast, a gas…

Quantum Physics · Physics 2015-06-23 S. Ostermann , T. Grießer , H. Ritsch

Brain networks typically exhibit characteristic synchronization patterns where several synchronized clusters coexist. On the other hand, neurological disorders are considered to be related to pathological synchronization such as excessive…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Ryota Kokubo , Rui Kato , Hideaki Ishii

Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

A class of systems exists in which dissipation, external drive and interactions compete and give rise to non equilibrium phases that would not exist without the drive. There, phase transitions could occur without the breaking of any…

Quantum Physics · Physics 2023-06-28 Giovanni Ferioli , Antoine Glicenstein , Igor Ferrier-Barbut , Antoine Browaeys

We investigate the entrainment of a neuron model exhibiting a chaotic spiking-bursting behavior in response to a weak periodic force. This model exhibits two types of oscillations with different characteristic time scales, namely, long and…

Chaotic Dynamics · Physics 2015-06-05 Hiroyasu Ando , Hiromichi Suetani , Juergen Kurths , Kazuyuki Aihara

The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hiroshi Kori , Yoshiki Kuramoto

Collective actuation in active solids - the spontaneous coherent excitation of a few vibrational modes - emerges from a feedback between structural deformations and the orientation of active forces. It is an excellent candidate as a basic…

Soft Condensed Matter · Physics 2025-11-21 Paul Baconnier , Mathéo Aksil , Vincent Démery , Olivier Dauchot

We present a simple theory accounting for two central observations in a recent experiment on quantum coarsening and collective dynamics on a programmable quantum simulator [T. Manovitz et al., Nature \textbf{638}, 86 (2025)]: an apparent…

Statistical Mechanics · Physics 2026-03-02 Federico Balducci , Anushya Chandran , Roderich Moessner

A mean field theory for Raman superradiance (SR) with recoil is presented, where the typical SR signatures are recovered, such as quadratic dependence of the intensity on the number of atoms and inverse proportionality of the time scale to…

Quantum Physics · Physics 2009-11-11 Tun Wang , S. F. Yelin

We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase model for the situation, where the natural frequencies of two…

Adaptation and Self-Organizing Systems · Physics 2011-06-27 S. Lück , A. Pikovsky

A recent description of the motion of atoms in a classical monatomic system in liquid and supercooled liquid states divides the motion into two parts: oscillations within a given many-particle potential valley, and transit motion which…

Statistical Mechanics · Physics 2007-05-23 Eric D. Chisolm , Duane C. Wallace

A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova
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