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Related papers: Synchronizing the Smallest Possible System

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We study collective behavior of locally-coupled limit-cycle oscillators with scattered intrinsic frequencies on $d$-dimensional lattices. A linear analysis shows that the system should be always desynchronized up to $d=4$. On the other…

Statistical Mechanics · Physics 2009-11-10 H. Hong , Hyunggyu Park , M. Y. Choi

Phase synchronization refers to a kind of collective phenomenon that the phase difference between two or more systems is locked, and it has widely been investigated between systems with the identical physical properties, such as the…

Quantum Physics · Physics 2020-06-08 Shao-Qiang Ma , Xiao Zheng , Guo-Feng Zhang

The role of restorative coupling on synchronization of coupled identical harmonic oscillators is studied. Necessary and sufficient conditions, under which the individual systems' solutions converge to a common trajectory, are presented.…

Dynamical Systems · Mathematics 2016-02-10 S. Emre Tuna

Decoherence largely limits the physical realization of qubits and its mitigation is critical to quantum science. Here, we construct a robust qubit embedded in a decoherence-protected subspace, obtained by hybridizing an applied microwave…

We propose a method for optimizing mutual coupling functions to achieve fast and global synchronization between a pair of weakly coupled limit-cycle oscillators. Our method is based on phase reduction that provides a concise low-dimensional…

Adaptation and Self-Organizing Systems · Physics 2025-06-18 Norihisa Namura , Hiroya Nakao

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

Based on the concepts of quantum synchronization and quantum phase synchronization proposed by A. Mari \textit{et al.} in Phys. Rev. Lett. 111, 103605 (2013), we introduce and characterize the measure of a more generalized quantum…

Quantum Physics · Physics 2020-05-13 G. J. Qiao , X. Y. Liu , H. D. Liu , C. F. Sun , X. X. Yi

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

Quantum synchronization offers new possibilities for the exploration of collective dynamics in many-body systems. However, achieving synchronization in many-body quantum systems still faces numerous challenges. Here, we focus on the…

Quantum Physics · Physics 2025-06-24 Zhan-Ting Zhang , Gao-Ying Bo , Fu-Quan Dou

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Spontaneous macroscopic quantum synchronization is an emergent phenomenon where an ensemble of quantum oscillators achieves global phase coherence through the interplay of interaction and dissipation. To illuminate this phenomenon, we study…

Quantum Physics · Physics 2026-05-22 Zhen-huan Yang , Dan-Bo Zhang

We calculate the fidelity of transmission of a single qubit between distant sites on semi-infinite and finite chains of spins coupled via the magnetic dipole interaction. We show that such systems often perform better than their Heisenberg…

Quantum Physics · Physics 2007-11-29 M. Avellino , A. J. Fisher , S. Bose

We examine the possible states of subsystems of a system of bits or qubits. In the classical case (bits), this means the possible marginal distributions of a probability distribution on a finite number of binary variables; we give necessary…

Quantum Physics · Physics 2015-06-26 Paul Butterley , Anthony Sudbery , Jason Szulc

We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the…

Quantum Physics · Physics 2020-08-12 Haggai Landa , Marco Schiró , Grégoire Misguich

We propose a quantitative criterion to determine whether the coupled quantum systems can achieve complete synchronization or phase synchronization in the process of analyzing quantum synchronization. Adopting the criterion, we discuss the…

Quantum Physics · Physics 2015-09-14 Wenlin Li , Chong Li , Heshan Song

A scalable optical quantum information processor is likely to be a waveguide circuit with integrated sources, detectors, and either deterministic quantum-logic or quantum memory elements. With microsecond coherence times, ultrafast coherent…

We study driven $q$-state Potts models with thermodynamically consistent dynamics and global coupling. For a wide range of parameters, these models exhibit a dynamical phase transition from decoherent oscillations into a synchronised phase.…

Statistical Mechanics · Physics 2025-01-28 Jan Meibohm , Massimiliano Esposito

We consider two coupled phase oscillators in the presence of proportional ("common") and independent white noises. The global synchronization properties of the system are analytically studied via the Fokker-Planck equation. When the…

Exactly Solvable and Integrable Systems · Physics 2008-11-19 David Garcia-Alvarez , Alireza Bahraminasab , Aneta Stefanovska , Peter V. E. McClintock

Reliable long-range qubit shuttling is a powerful tool for scalable quantum computing architectures. We investigate strategies to improve the coherence of moving spin qubits by performing continuous dynamical decoupling by modulating their…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Daniel Q. L. Nguyen , Maximilian Rimbach-Russ , Stefano Bosco

The maximum observable correlation between the two components of a bipartite quantum system is a property of the joint density operator, and is achieved by making particular measurements on the respective components. For pure states it…

Quantum Physics · Physics 2009-11-13 Michael J. W. Hall , Erika Andersson , Thomas Brougham