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We analyse the properties of the synchronisation transition in a many-body system consisting of quantum van der Pol oscillators with all-to-all coupling using a self-consistent mean-field method. We find that the synchronised state, which…

Quantum Physics · Physics 2018-11-14 C. Davis-Tilley , C. K. Teoh , A. D. Armour

The reliable quantification of nonclassicality in quantum states under realistic decoherence remains a central challenge in advancing quantum technologies. Conventional quantifiers such as Wigner negativity, Mandel's $Q$-parameter,…

Quantum Physics · Physics 2026-05-15 K. M. Athira , M. J. Neethu , M. Rohith

Synchronization is a universal phenomenon that is important both in fundamental studies and in technical applications. Here we investigate synchronization in the simplest quantum-mechanical scenario possible, i.e., a quantum-mechanical…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state…

Quantum Physics · Physics 2026-05-29 Fabian Hassler , David Scheer , Samah Saquaque , Steven Kim

We study the synchronization of dissipatively-coupled van der Pol oscillators in the quantum limit, when each oscillator is near its quantum ground state. Two quantum oscillators with different frequencies exhibit an entanglement tongue,…

Quantum Physics · Physics 2014-02-14 Tony E. Lee , Ching-Kit Chan , Shenshen Wang

It is desirable to observe synchronization of quantum systems in the quantum regime, defined by low number of excitations and a highly non-classical steady state of the self-sustained oscillator. Several existing proposals of observing…

Limit-cycle oscillators are the basic building blocks for synchronization; yet, the notion of a quantum limit cycle has remained unclear. Here, we study quantum limit cycles and synchronization in the presence of continuous heterodyne…

Quantum Physics · Physics 2026-04-16 Tobias Nadolny , Christoph Bruder

We study the quantum phase synchronization of a driven two-level system (TLS) coupled to a structured environment and demonstrate that quantum synchronization can be enhanced by the classical driving field. We use the Husimi $Q$-function to…

Quantum Physics · Physics 2023-03-08 Xing Xiao , Tian-Xiang Lu , Wo-Jun Zhong , Yan-Ling Li

It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensity, can be observed in quantum dissipative systems. We…

Adaptation and Self-Organizing Systems · Physics 2021-04-12 Yuzuru Kato , Hiroya Nakao

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of the forcing displaying multiple preferred phases. Here we analyze…

Quantum Physics · Physics 2021-10-26 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

We develop an analytical framework to study the synchronization of a quantum self-sustained oscillator to an external signal. Our unified description allows us to identify the resource on which quantum synchronization relies, and to compare…

Quantum Physics · Physics 2019-04-09 Martin Koppenhöfer , Alexandre Roulet

Macroscopic ensembles of radiating dipoles are ubiquitous in the physical and natural sciences. In the classical limit the dipoles can be described as damped-driven oscillators, which are able to spontaneously synchronize and collectively…

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase reduction theory recently developed for quantum nonlinear…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuzuru Kato , Hiroya Nakao

The detection of phase synchronization of coupled chaotic oscillators which are not phase-coherent is known to be a challenging task. In this work a method to detect and measure phase synchronization is presented. The procedure uses symbol…

Chaotic Dynamics · Physics 2023-11-10 Henrique Carvalho de Castro , Luis Aguirre

Quantum synchronization has been a central topic in quantum nonlinear dynamics. Despite rapid development in this field, very few have studied how to efficiently boost synchronization. Homodyne measurement emerges as one of the successful…

Quantum Physics · Physics 2023-08-08 Yuan Shen , Hong Yi Soh , Weijun Fan , Leong-Chuan Kwek

Synchronizing a few-level quantum system is of fundamental importance to the understanding of synchronization in the deep quantum regime. We investigate quantum phase synchronization of a two-level system (qubit) driven by a semiclassical…

Quantum Physics · Physics 2024-02-23 Po-Wen Chen , Chandrashekar Radhakrishnan , Md. Manirul Ali

We propose a protocol for quantum state tomography of nonclassical states in optomechanical systems. Using a parametric drive, the procedure overcomes the challenges of weak optomechanical coupling, poor detection efficiency, and thermal…

Quantum Physics · Physics 2020-06-24 P. Warszawski , A. Szorkovszky , W. P. Bowen , A. C. Doherty

Synchronization in quantum systems has been recently studied through persistent oscillations of local observables, which stem from undamped modes of the dissipative dynamics. However, the existence of such modes requires fine-tuning the…

Quantum Physics · Physics 2025-10-14 Yi J. Zhao , Joel E. Moore , Juzar Thingna , Christopher W. Wächtler

Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. Here, we analyse the spontaneous synchronisation dynamics of vibrations assisting energy transfer in a bio-inspired…

Quantum Physics · Physics 2020-09-30 Stefan Siwiak-Jaszek , Thao P. Le , Alexandra Olaya-Castro