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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…

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

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

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

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 this paper we present a comprehensive analysis of the coherence phenomenon of two coupled dissipative oscillators. The action of a classical driving field on one of the oscillators is also analyzed. Master equations are derived for both…

Quantum Physics · Physics 2007-05-23 M. A. de Ponte , M. C. de Oliveira , M. H. Y. Moussa

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

A finite number of harmonic oscillators coupled to infinitely many environment oscillators is fundamental to the problem of understanding quantum dissipation of a small system immersed in a large environment. Exact operator solution as a…

Statistical Mechanics · Physics 2009-10-28 I. Joichi , Sh. Matsumoto , M. Yoshimura

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative systems exhibiting limit-cycle oscillations are reduced to a…

Adaptation and Self-Organizing Systems · Physics 2019-10-16 Yuzuru Kato , Naoki Yamamoto , Hiroya Nakao

Synchronization is a hallmark of collective behavior that emerges when nonlinear systems interact, spanning scales from mechanical oscillators to planetary orbits. As a universal phenomenon it underpins the study of complex systems and has…

Quantum Physics · Physics 2025-11-20 Jiarui Liu , Qiming Wu , Joel E. Moore , Hartmut Haeffner , Christopher W. Wächtler

We find the conditions for one quantum system to function as a classical controller of another quantum system: the controller must be an open system and rapidly diagonalised in the basis of the controller variable that is coupled to the…

Quantum Physics · Physics 2015-06-03 G J Milburn

Synchronization phenomena have been recently reported in the quantum realm at atomic level due to collective dissipation. In this work we propose a dimer lattice of trapped atoms realizing a dissipative spin model where quantum…

Quantum Physics · Physics 2019-07-19 Albert Cabot , Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

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 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…

The question under which conditions oscillators with slightly different frequencies synchronize appears in various settings. We show that synchronization can be achieved even for harmonic oscillators that are bilinearly coupled via a purely…

Chaotic Dynamics · Physics 2023-02-01 Juan N. Moreno , Christopher W. Wächtler , Alexander Eisfeld

The main obstacle for coherent control of open quantum systems is decoherence due to different dissipation channels and the inability to precisely control experimental parameters. To overcome these problems we propose to use…

Quantum Physics · Physics 2009-11-10 Carsten Marr , Almut Beige , Gerhard Rempe

The phenomenon of spontaneous synchronization arises in a broad range of systems when the mutual interaction strength among components overcomes the effect of detuning. Recently it has been studied also in the quantum regime with a variety…

Quantum Physics · Physics 2019-07-17 Gian Luca Giorgi , Albert Cabot , Roberta Zambrini

We explore the environment-induced synchronization phenomenon in two-level systems in contact with a thermal dissipative environment. We first discuss the conditions under which synchronization emerges between a pair of two-level particles.…

Quantum Physics · Physics 2020-04-24 G. Karpat , İ. Yalçınkaya , B. Çakmak

We study synchronization of two dissipatively coupled Van der Pol oscillators in the quantum regime. Due to quantum noise strict frequency locking is absent and is replaced by a crossover from weak to strong frequency entrainment. We…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

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
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