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We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

量子物理 · 物理学 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

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…

混沌动力学 · 物理学 2015-06-18 Lennart Schmidt , Konrad Schönleber , Katharina Krischer , Vladimir García-Morales

To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality. We find that the positivity of the map implies a sharp separation of the relaxation timescales…

强关联电子 · 物理学 2020-03-18 Kevin Wang , Francesco Piazza , David J. Luitz

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…

介观与纳米尺度物理 · 物理学 2014-04-02 Stefan Walter , Andreas Nunnenkamp , Christoph Bruder

The nonequilibrium dynamics of coupled quantum oscillators subject to different time dependent quenches are analyzed in the context of the Liouville-von Neumann approach. We consider models of quantum oscillators in interaction that are…

高能物理 - 理论 · 物理学 2009-11-07 G. Flores-Hidalgo , Rudnei O. Ramos

The maximum speed with which information can propagate in a quantum many-body system directly affects how quickly disparate parts of the system can become correlated and how difficult the system will be to describe numerically. For systems…

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…

量子物理 · 物理学 2025-08-15 Tobias Kehrer , Christoph Bruder , Parvinder Solanki

An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibrium phase difference. In this paper, we investigate the…

动力系统 · 数学 2014-05-13 Vishaal Krishnan , Arun D. Mahindrakar , Somashekhar S. Hiremath

In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

动力系统 · 数学 2017-08-15 Julian Newman

We simulate the dynamics of a disordered interacting spin chain subject to a quasi-periodic time-dependent drive, corresponding to a stroboscopic Fibonacci sequence of two distinct Hamiltonians. Exploiting the recursive drive structure, we…

无序系统与神经网络 · 物理学 2018-02-26 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

Ensembles of alkali or noble-gas atoms at room temperature and above are widely applied in quantum optics and metrology owing to their long-lived spins. Their collective spin states maintain nonclassical nonlocal correlations, despite the…

量子物理 · 物理学 2020-08-04 Roy Shaham , Or Katz , Ofer Firstenberg

A modified Kuramoto model of synchronization in a finite discrete system of locally coupled oscillators is studied. The model consists of N oscillators with random natural frequencies arranged on a ring. It is shown analytically and…

适应与自组织系统 · 物理学 2010-06-30 J. Ochab , P. F. Góra

Based on recently derived exact stochastic Liouville-von Neumann equations, several strategies for the efficient simulation of open quantum systems are developed and tested on the spin-boson model. The accuracy and efficiency of these…

凝聚态物理 · 物理学 2007-05-23 J. T. Stockburger

We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the…

混沌动力学 · 物理学 2015-06-23 R. Sevilla-Escoboza , J. M. Buldú , A. N. Pisarchik , S. Boccaletti , R. Gutiérrez

Quantum synchronization (QS) in open many-body systems offers a promising route for controlling collective quantum dynamics, yet existing manipulation schemes often rely on dissipation engineering, which distorts limit cycles, lacks…

量子物理 · 物理学 2025-10-14 Shuo Dai , Zeqing Wang , Liang-Liang Wan , Weidong Li , Augusto Smerzi , Ran Qi , Jianwen Jie

Understanding the origin of phase synchronization between quantum self-sustained oscillators has garnered significant interest in recent years. In this work, we study phase synchronization in three settings: between two continuous-variable…

量子物理 · 物理学 2025-06-03 Mohit Kumar , Bijay Kumar Agarwalla

The spins of gaseous alkali atoms are commonly assumed to oscillate at a constant hyperfine frequency, which for many years has been used to define the Second. Indeed, under standard experimental conditions, the spins oscillate…

量子物理 · 物理学 2018-10-02 Or Katz , Ofer Firstenberg

We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehensive stability diagram in the parameter…

适应与自组织系统 · 物理学 2026-01-27 Gautam C Sethia , Abhijit Sen , Fatihcan M. Atay

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…

量子物理 · 物理学 2019-04-09 Martin Koppenhöfer , Alexandre Roulet

A cornerstone of the theory of phase transitions is the observation that many-body systems exhibiting a spontaneous symmetry breaking in the thermodynamic limit generally show extensive fluctuations of an order parameter in large but finite…

量子物理 · 物理学 2017-04-05 H. Wilming , M. J. Kastoryano , A. H. Werner , J. Eisert