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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

A method is proposed for detecting from univariate data the presence of synchronization of a self-sustained oscillator by external driving with varying frequency. The method is based on the analysis of difference between the oscillator…

When the coupling rate between two quantum systems becomes as large as their characteristic frequencies, it induces dramatic effects on their dynamics and even on the nature of their ground state. The case of a qubit coupled to a harmonic…

The strong coupling between electronic transport in a single-level quantum dot and a capacitively coupled nano-mechanical oscillator may lead to a transition towards a mechanically-bistable and blocked-current state. Its observation is at…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 G Micchi , Rémi Avriller , F Pistolesi

We theoretically and numerically study the quantum dynamics of two degenerate optical parametric oscillators with mutual injections. The cavity mode in the optical coupling path between the two oscillator facets is explicitly considered.…

Quantum Physics · Physics 2015-11-03 Kenta Takata , Alireza Marandi , Yoshihisa Yamamoto

A diagnostics method based on a continuous wavelet transform is proposed. This method makes it possible to diagnose the presence of synchronization of the oscillations of a self-excited oscillator locked by an external force with a linearly…

Chaotic Dynamics · Physics 2007-06-13 Alexey Koronovskii , Vladimir Ponomarenko , Mikhail Prokhorov , Alexander Hramov

An important transition from a homogeneous steady state to an inhomogeneous steady state via the Turing bifurcation in coupled oscillators was reported in [Phys. Rev. Lett. {\bf 111}, 024103 (2013)]. However, the same in the quantum domain…

Quantum Physics · Physics 2021-08-25 Biswabibek Bandyopadhyay , Taniya Khatun , Tanmoy Banerjee

The force exerted by the electrons on the nuclei of a current-carrying molecular junction can be manipulated to engineer nanoscale mechanical systems. In the adiabatic regime a peculiarity of these forces is negative friction, responsible…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Alexey Kartsev , Claudio Verdozzi , Gianluca Stefanucci

In this work, we investigate the dynamics of quantum synchronization in a four-mode optomechanical system, focusing on the influence of the Coulomb interaction between two mechanical resonators. We analyze the effect of the Coulomb coupling…

Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase reduction theory recently developed for quantum nonlinear…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuzuru Kato , Hiroya Nakao

A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic…

Pattern Formation and Solitons · Physics 2023-03-27 Nana Takeda , Hiroaki Ito , Hiroyuki Kitahata

We study systems of two identical dipolar particles confined in quasi one-dimensional harmonic traps. Numerical results for the dependencies of the entanglement on the control parameters of the systems are provided and discussed in detail.…

Quantum Physics · Physics 2020-01-07 Przemyslaw Koscik

The ability to coherently couple arbitrary harmonic oscillators in a fully-controlled way is an important tool to process quantum information. Coupling between quantum harmonic oscillators has previously been demonstrated in several…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Eva Zakka-Bajjani , François Nguyen , Minhyea Lee , Leila R. Vale , Raymond W. Simmonds , José Aumentado

We report measurements of the cross-correlation between current noise fluctuations in two capacitively coupled quantum dots in the Coulomb blockade regime. The sign of the cross-spectral density is found to be tunable by gate voltage and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. McClure , L. DiCarlo , Y. Zhang , H. -A. Engel , C. M. Marcus , M. P. Hanson , A. C. Gossard

The synchronization of coupled oscillators is a phenomenon found throughout nature. Mechanical oscillators are paradigmatic among such systems, but realising them at the nanoscale is challenging. We report synchronization of the mechanical…

We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes

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

We propose a scheme for high quantum state transfer efficiency between two distant mechanical oscillators. Through coupling separately to two optical cavities connected by an optical fiber, two distant mechanical oscillators achieve a…

Quantum Physics · Physics 2017-12-19 Dai Jia-Feng , Guo Yan-Qing , Zhang Xing-Yuan , Wang Dian-Fu , Huang He-Fei

Under certain conditions, the quantum delta-kicked harmonic oscillator displays quantum resonances. We consider an atom-optical realization of the delta-kicked harmonic oscillator, and present a theoretical discussion of the quantum…

Quantum Physics · Physics 2010-08-03 T. P. Billam , S. A. Gardiner

Two harmonic oscillators interacting through the exchange of a quantum field leads to non-zero entanglement between the two, which is absent for classical interaction. In this work, we determine the entanglement between two such harmonic…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Sumanta Chakraborty , Anupam Mazumdar , Ritapriya Pradhan
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