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By controlling coefficients and decaying order of time-decaying harmonic potentials, the velocity of a quantum particle is decelerated by the effect of harmonic potentials but the particle is non-trapping. In this paper, we consider the…

Mathematical Physics · Physics 2020-04-17 Masaki Kawamoto

It is widely held that identical systems tend to behave similarly under comparable conditions. Yet, for systems that interact through a network, symmetry breaking can lead to scenarios in which this expectation does not hold. Prominent…

Pattern Formation and Solitons · Physics 2025-09-24 Jorge Luis Ocampo-Espindola , Christian Bick , Adilson E. Motter , István Z. Kiss

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

The observation of quantized nanomechanical oscillations by detecting femtometer-scale displacements is a significant challenge for experimentalists. We propose that phonon blockade can serve as a signature of quantum behavior in…

Quantum Physics · Physics 2015-05-14 Yu-xi Liu , Adam Miranowicz , Y. B. Gao , J. Bajer , C. P. Sun , Franco Nori

We develop a theoretical framework for frame synchronization, also known as block synchronization, in the quantum domain which makes it possible to attach classical and quantum metadata to quantum information over a noisy channel even when…

Quantum Physics · Physics 2013-09-16 Yuichiro Fujiwara

Nonlinear oscillations and synchronisation phenomena are ubiquitous in nature. We study the synchronization of self oscillating magneto-optically trapped cold atoms to a weak external driving. The oscillations arise from a dynamical…

Atomic Physics · Physics 2018-04-09 Hermanni Heimonen , Leong Chuan Kwek , Robin Kaiser , Guillaume Labeyrie

The photon blockade effect is commonly exploited in the development of single-photon sources. While the photon blockade effect could be used to prepare high-fidelity single-photon states in idealized regimes, practical implementations in…

Quantum Physics · Physics 2022-12-02 Yuxun Ling , Sofia Qvarfort , Florian Mintert

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

The synchronization properties of two self-sustained quantum oscillators are studied in the Wigner representation. Instead of considering the quantum limit of the quantum van-der-Pol master equation we derive the quantum master equation…

Statistical Mechanics · Physics 2015-06-12 Lisa Morgan , Haye Hinrichsen

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

Synchronization of two or more self-sustained oscillators is a well-known and studied phenomenon, appearing both in natural and designed systems. In some cases, the synchronized state is undesired, and the aim is to destroy synchrony by…

Chaotic Dynamics · Physics 2024-08-14 Erik T. K. Mau , Michael Rosenblum

Owing to the ubiquity of synchronization in the classical world, it is interesting to study its behavior in quantum systems. Though quantum synchronisation has been investigated in many systems, a clear connection to quantum technology…

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

Quantum Physics · Physics 2017-03-08 Wenlin Li , Chong Li , Heshan Song

Synchronization occurs ubiquitously in nature. The van der Pol oscillator has been a favorite model to investigate synchronization. Here we study the oscillator in the deep quantum regime, where nonclassical effects dominate the dynamics.…

Quantum Physics · Physics 2020-09-23 Wai Keong Mok , Leong Chuan Kwek , Hermanni Heimonen

It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we demonstrate that such classical energy levels…

Pattern Formation and Solitons · Physics 2020-07-29 Bing He , Qing Lin , Miguel Orszag , Min Xiao

We present an optomechanical model to show that entanglement can be a sufficient condition for quantum synchronization of two mechanical oscillators. As both these entities can be characterized in terms of variances of a set of EPR-like…

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

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

Phonon nonlinearities play an important role in hybrid quantum networks and on-chip quantum devices. We investigate the phonon statistics of a mechanical oscillator in hybrid systems composed of an atom and one or two standard…

Quantum Physics · Physics 2018-06-12 Mei Wang , Xin-You Lü , Adam Miranowicz , Tai-Shuang Yin , Ying Wu , Franco Nori

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, both analytically and numerically, the dynamics of mechanical oscillators kept in motion by a feedback force, which is generated electronically from a signal produced by the oscillators themselves. This kind of self-sustained…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Sebastian I. Arroyo , Damian H. Zanette