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We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

Neurons and Cognition · Quantitative Biology 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

We analyze rigorously the dynamics of the entanglement between two qubits which interact only through collective and local environments. Our approach is based on the resonance perturbation theory which assumes a small interaction between…

Quantum Physics · Physics 2010-01-08 M. Merkli , G. P. Berman , F. Borgonovi , K. Gebresellasie

We investigate a simple arrangement of coupled harmonic oscillators which brings out some interesting effects concerning creation of entanglement. It is well known that if each member in a linear chain of coupled harmonic oscillators is…

Quantum Physics · Physics 2015-05-13 J. F. Leandro , F. L. Semião

We consider a system of multiple qubits without any quantum control. We show that one can mediate entanglement between different subsystems in a controlled way by adding a (locally) controlled auxiliary system of the same size that couples…

Quantum Physics · Physics 2023-01-26 Ferran Riera-Sàbat , Pavel Sekatski , Wolfgang Dür

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

Pattern Formation and Solitons · Physics 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to…

Quantum Physics · Physics 2026-02-10 Eyal Buks

Synchronizing a few-level quantum system is of fundamental importance to understanding synchronization in deep quantum regime. Whether a two-level system, the smallest quantum system, can be synchronized has been theoretically debated for…

Quantum Physics · Physics 2023-11-09 Liyun Zhang , Zhao Wang , Yucheng Wang , Junhua Zhang , Zhigang Wu , Jianwen Jie , Yao Lu

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…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

We show that self-consistent partial synchrony in globally coupled oscillatory ensembles is a general phenomenon. We analyze in detail appearance and stability properties of this state in possibly the simplest setup of a biharmonic…

Adaptation and Self-Organizing Systems · Physics 2017-06-02 Pau Clusella Cobero , Antonio Politi , Michael Rosenblum

Under certain conditions, the quantum delta-kicked harmonic oscillator displays quantum resonances. We consider an atom-optical realization of the delta-kicked harmonic oscillator, and present a theoretical discussion of the quantum…

Quantum Physics · Physics 2010-08-03 T. P. Billam , S. A. Gardiner

An imperative condition for the functioning of a power-grid network is that its power generators remain synchronized. Disturbances can prompt desynchronization, which is a process that has been involved in large power outages. Here we…

Physics and Society · Physics 2018-12-24 Adilson E. Motter , Seth A. Myers , Marian Anghel , Takashi Nishikawa

We prove spatial decay estimates on disorder-averaged position-momentum correlations in a gapless class of random oscillator models. First, we prove a decay estimate on dynamic correlations for general eigenstates with a bound that depends…

Mathematical Physics · Physics 2018-02-23 Houssam Abdul-Rahman , Robert Sims , Günter Stolz

Synchronization is studied in an array of identical oscillators undergoing small vibrations. The overall coupling is described by a pair of matrix-weighted Laplacian matrices; one representing the dissipative, the other the restorative…

Dynamical Systems · Mathematics 2018-08-02 S. Emre Tuna

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

Adaptation and Self-Organizing Systems · Physics 2015-08-19 Jason Hindes , Christopher R. Myers

We study the quantum synchronization between a pair of two-level systems inside two coupled cavities. By using a digital-analog decomposition of the master equation that rules the system dynamics, we show that this approach leads to quantum…

Quantum Physics · Physics 2019-01-17 F. A. Cárdenas-López , M. Sanz , J. C. Retamal , E. Solano

Quantum devices featuring mid-circuit measurement and reset capabilities, such as quantum computers and dual-species Rydberg quantum simulators, enable the realization of quantum cellular automata. These systems evolve in discrete time…

Quantum Physics · Physics 2026-04-01 Uddhav Sen , Federico Carollo , Sascha Wald

Cluster synchronization is a phenomenon in which oscillators in a given network are partitioned into synchronous clusters. As recently shown, diverse cluster synchronization patterns can be found using network symmetry when the oscillators…

Chaotic Dynamics · Physics 2019-05-24 Young Sul Cho

In this letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling…

Pattern Formation and Solitons · Physics 2009-11-13 Markus Brede

Random fluctuations can lead to cooperative effects in complex systems. We here report the experimental observation of noise-induced quantum synchronization in a chain of superconducting transmon qubits with nearest-neighbor interactions.…

Utilizing the general theory of open quantum systems to investigate the exact dynamical evolution of simple bilinear systems, we discover a mechanism of the dynamical genesis of quantum entanglement. We focus in detail on the exact quantum…

Quantum Physics · Physics 2025-12-19 Shuang-Kai Yang , Wei-Min Zhang
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