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We show that a quantum subsystem can become significantly entangled with a classical background through a process with little or none semi-classical back-reactions. We study two quantum harmonic oscillators coupled to each other in a…

High Energy Physics - Theory · Physics 2017-07-19 I-Sheng Yang

Quantum synchronization among many spins is an intriguing domain of research. In this paper, we explore the quantum synchronization of two finite chains of spin-1/2 particles, via a nonlinear interaction mediated by a a central intermediary…

Quantum Physics · Physics 2024-08-13 Jatin Ghildiyal , Manju , Shubhrangshu Dasgupta , Asoka Biswas

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we…

Chaotic Dynamics · Physics 2015-06-18 Lennart Schmidt , Konrad Schönleber , Katharina Krischer , Vladimir García-Morales

We perform an analytical study of the correspondence between a classical oscillator with frequency perturbed by a coloured noise and the one-dimensional Anderson-type model with correlated diagonal disorder. It is rigorously shown that…

Disordered Systems and Neural Networks · Physics 2009-11-07 L. Tessieri , F. M. Izrailev

Progress on the study of synchronisation in quantum systems has been largely driven by specific examples which resulted in several examples of frequency entrainment as well as mutual synchronisation. Here we study quantum synchronisation by…

Quantum Physics · Physics 2022-06-27 Parvinder Solanki , Noufal Jaseem , Michal Hajdušek , Sai Vinjanampathy

It is known that placing a mechanical oscillator in a superposition of coherent states allows, in theory, a measurement of a linear force whose sensitivity increases with the amplitude of the mechanical oscillations, a uniquely quantum…

Quantum Physics · Physics 2017-09-13 Kurt Jacobs , Radhakrishnan Balu , John D. Teufel

In a recent study (Ref. [1]), quantum annealing was reported to exhibit a scaling advantage for approximately solving Quadratic Unconstrained Binary Optimization (QUBO). However, this claim critically depends on the choice of classical…

Quantum Physics · Physics 2025-05-29 J. Pawlowski , P. Tarasiuk , J. Tuziemski , L. Pawela , B. Gardas

We study the quantum synchronization of a single spin driven by an external semiclassical signal for spin numbers larger than $S = 1$, the smallest system to host a quantum self-sustained oscillator. The occurrence of interference-based…

Quantum Physics · Physics 2023-01-04 Ryan Tan , Christoph Bruder , Martin Koppenhöfer

When a quantum nonlinear system is linearly coupled to an infinite bath of harmonic oscillators, quantum coherence of the system is lost on a decoherence time-scale $\tau_D$. Nevertheless, quantum effects for observables may still survive…

Quantum Physics · Physics 2009-11-10 G. P. Berman , A. R. Bishop , F. Borgonovi , D. A. R. Dalvit

We present a simple theory accounting for two central observations in a recent experiment on quantum coarsening and collective dynamics on a programmable quantum simulator [T. Manovitz et al., Nature \textbf{638}, 86 (2025)]: an apparent…

Statistical Mechanics · Physics 2026-03-02 Federico Balducci , Anushya Chandran , Roderich Moessner

We consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two…

Statistical Mechanics · Physics 2011-11-03 Teresa Vaz Martins , Raúl Toral

Nonlinear phononics has emerged as a powerful paradigm for the nonthermal control of quantum materials by engineering a conservative potential energy landscape. Here, we show that dissipation can serve as an additional control knob for…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Brayan I. Eraso-Solarte , Yafei Ren

I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear…

Quantum Physics · Physics 2009-11-10 George Svetlichny

Many biological and chemical systems exhibit collective behavior in response to the change in their population density. These elements or cells communicate with each other via dynamical agents or signaling molecules. In this work, we…

Adaptation and Self-Organizing Systems · Physics 2019-09-11 Umesh Kumar Verma , Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

We investigate synchronization effects in quantum self-sustained oscillators theoretically using the micromaser as a model system. We use the probability distribution for the relative phase as a tool for quantifying the emergence of…

Quantum Physics · Physics 2016-12-21 C. Davis-Tilley , A. D. Armour

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

Quantum incompatibility, referred as the phenomenon that some quantum measurements cannot be performed simultaneously, is necessary for various quantum information processing tasks, such as nonlocality and steering. When these applications…

Quantum Physics · Physics 2024-11-19 Xiaolin Zhang , Rui Qu , Zehong Chang , Yunlong Wang , Zhenyu Guo , Min An , Hong Gao , Fuli Li , Pei Zhang

We investigate the effect of slowly-varying parameter on the energy transfer in a system of weakly coupled nonlinear oscillators, with special attention to a mathematical analogy between the classical energy transfer and quantum…

Pattern Formation and Solitons · Physics 2015-06-05 Leonid Manevitch , Agnessa Kovaleva

The purpose of this work is to present a method based on the factorizations used in one dimensional quantum mechanics in order to find the symmetries of quantum and classical superintegrable systems in higher dimensions. We apply this…

Mathematical Physics · Physics 2023-11-23 Şengül Kuru , Javier Negro , Sergio Salamanca

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
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