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High quality factors, strong nonlinearities, and extensive design flexibility make superconducting circuits an ideal platform to investigate synchronization phenomena deep in the quantum regime. Recently~\cite{Loerch-2017}, it was predicted…

Quantum Physics · Physics 2018-01-11 Simon E. Nigg

Synchronization manifests itself in oscillators adjusting their frequencies and phases with respect to an external signal or another oscillator. In the quantum case, new features appear such as destructive interferences that can result in…

Quantum Physics · Physics 2024-10-08 Tobias Kehrer , Tobias Nadolny , Christoph Bruder

We consider the phenomenon of mutual synchronization in a fundamental quantum system of two detuned quantum harmonic oscillators dissipating into the environment. We identify the conditions leading to this spontaneous phenomenon showing…

Quantum Physics · Physics 2012-05-08 Gian Luca Giorgi , Fernando Galve , Gonzalo Manzano , Pere Colet , Roberta Zambrini

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…

Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Li\'enard system whose classical equivalent features two limit cycles to one of which the system will converge. In the…

Quantum Physics · Physics 2025-08-15 Tobias Kehrer , Christoph Bruder , Parvinder Solanki

We theoretically describe macroscopic quantum synchronization effects occurring in a network of all-to-all coupled quantum limit-cycle oscillators. The coupling causes a transition to synchronization as indicated by the presence of global…

Quantum Physics · Physics 2023-11-09 Tobias Nadolny , Christoph Bruder

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

Recently, the synchronization of coupled quantum oscillators has attracted a great deal of interest. Synchronization requires driven constituents, and in such systems, the coupling can be designed to be nonreciprocal. Nonreciprocally…

Quantum Physics · Physics 2025-07-29 Tobias Kehrer , Christoph Bruder

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

In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work…

Quantum Physics · Physics 2020-01-30 Joseph Tindall , Carlos Sánchez Muñoz , Berislav Buča , Dieter Jaksch

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…

It is often conjectured that quantum synchronisation and entanglement are two independent properties which two coupled quantum systems may not exhibit at the same time. However, as both these properties can be understood in terms of the…

Quantum Physics · Physics 2023-05-09 Devender Garg , Manju , Shubhrangshu Dasgupta , Asoka Biswas

We report a normal-mode induced synchronization blockade in coupled quantum van der Pol oscillators under the influence of external drive. In this mechanism, the coupling hybridizes the oscillator modes into spectrally split normal modes.…

Quantum Physics · Physics 2026-02-13 Nissi Thomas , M. Senthilvelan

We report the first experimental demonstration of quantum synchronization. This is achieved by performing a digital simulation of a single spin-$1$ limit-cycle oscillator on the quantum computers of the IBM Q System. Applying an external…

Quantum Physics · Physics 2020-04-15 Martin Koppenhöfer , Christoph Bruder , Alexandre Roulet

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

A paradigm for quantum synchronization is the quantum analog of the Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e. vanishingly small) nonlinearity. Due to this limitation, the quantum…

Quantum Physics · Physics 2023-06-22 Yuan Shen , Wai-Keong Mok , Changsuk Noh , Ai Qun Liu , Leong-Chuan Kwek , Weijun Fan , Andy Chia

We implement nonlinear anharmonic interaction in the coupled van der Pol oscillators to investigate the quantum synchronization behaviour of the systems. We study the quantum synchronization in two oscillator models, coupled quantum van der…

Quantum Physics · Physics 2022-07-27 Niss Thomas , M. Senthilvelan

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

Quantum Physics · Physics 2019-09-04 Loic Henriet

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli

The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple…

Quantum Physics · Physics 2025-06-24 Tong Liu , Laura García-Álvarez , Giovanna Tancredi
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