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We propose a method to control the particle current of a one-dimensional quantum system by resonating two many-body states through an external driving field. We consider the Bose-Hubbard and spinless Fermi-Hubbard models with the Peierls…

Quantum Gases · Physics 2023-04-05 Shuto Mizuno , Kazuya Fujimoto , Yuki Kawaguchi

We consider a Brownian oscillator whose coupling to the environment may lead to the formation of a localized normal mode. For lower values of the oscillator's natural frequency, $\omega\le\omega_c$, the localized mode is absent and the…

Statistical Mechanics · Physics 2023-04-26 Alex V. Plyukhin

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

Quantum Physics · Physics 2024-10-28 Jonas F. G. Santos

We present and experimentally implement a real-time protocol for calibrating the frequency of a resonantly driven qubit, achieving exponential scaling in calibration precision with the number of measurements, up to the limit imposed by…

The mutual interaction between the different eigenmodes of a spin-torque oscillator can lead to a large variety of physical mechanisms from mode hopping to multi-mode generation, that usually reduce their performances as radio-frequency…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 R. Lebrun , J. Grollier , P. Bortolotti , V. Cros , A. Hamadeh , X. de Milly , Y. Li , G. de Loubens , O. Klein , S. Tsunegi , H. Kubota , K. Yakushiji , A. Fukushima , S. Yuasa

When two systems are coupled, the driver system can function as an external forcing over the driven or response system. Also, an external forcing can independently perturb the driven system, leading us to examine the interplay between the…

Chaotic Dynamics · Physics 2024-12-11 Mattia Coccolo , Miguel A. F. Sanjuán

We present a control-theoretic analysis of the system consisting of a two-level atom coupled with a quantum harmonic oscillator. We show that by applying external fields with just two resonant frequencies, any desired unitary operator can…

Quantum Physics · Physics 2009-11-13 Haidong Yuan , Seth Lloyd

We propose an exactly soluble W*-dynamical system generated by repeated harmonic perturbations of the one-mode quantum oscillator. In the present paper we deal with the case of isolated system. Although dynamics is Hamiltonian and…

Functional Analysis · Mathematics 2014-04-14 Hiroshi Tamura , Valentin Zagrebnov

The dynamical backaction from a periodically driven optical or microwave cavity can reduce the damping of a mechanical resonator, leading to parametric instability accompanied by self-sustained oscillations. Fundamentally, the driving…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 F. Sun , X. Dong , J. Zou , M. I. Dykman , H. B. Chan

With an increasing coupling between light and mechanics, nonlinearities begin to play an important role in optomechanics. We solve the quantum dynamics of an optomechanical system in the multi-photon strong coupling regime retaining…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 J. D. P. Machado , Ya. M. Blanter

Synchronization of self-sustained oscillators under fixed-frequency and amplitude forcing is well understood, but how time-varying forcing mangles phase locking has been much less explored. Theory predicts that slow, deterministic…

Chaotic Dynamics · Physics 2026-01-07 Zhenwei Xu , Ulrich Kuhl , Nicolas Noiray

Driven classical self-sustained oscillators have been studied extensively in the context of synchronization. Using the master equation, this work considers the classically driven generalized quantum Rayleigh-van der Pol oscillator, which is…

Quantum Physics · Physics 2024-01-09 A. J. Sudler , J. Talukdar , D. Blume

While electric power grids play a key role in the decarbonization of society, it remains unclear how recent trends, such as the strong integration of renewable energies, can affect their stability. Power oscillation modes, which are key to…

Disordered Systems and Neural Networks · Physics 2024-08-28 Pierrick Guichard , Nicolas Retière , Didier Mayou

We propose a quantum harmonic oscillator measurement engine fueled by simultaneous quantum measurements of the non-commuting position and momentum quadratures of the quantum oscillator. The engine extracts work by moving the harmonic trap…

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at…

Superconductivity · Physics 2008-01-10 O. V. Zhirov , D. L. Shepelyansky

We consider a pair of quantum dot-based spin qubits that interact via microwave photons in a superconducting cavity, and that are also parametrically driven by separate external electric fields. For this system, we formulate a model for…

Quantum Physics · Physics 2024-10-04 V. Srinivasa , J. M. Taylor , J. R. Petta

Coherently displaced harmonic oscillator number states of a harmonically bound ion can be coupled to two internal states of the ion by a laser-induced motional sideband interaction. The internal states can subsequently be read out in a…

We show that quantum-interference phenomena can be realized for the dissipative nonlinear systems exhibiting hysteresis-cycle behavior and quantum chaos. Such results are obtained for a driven dissipative nonlinear oscillator with…

Quantum Physics · Physics 2015-05-19 T. V. Gevorgyan , A. R. Shahinyan , G. Yu. Kryuchkyan

We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low. We show that, provided the…

Dynamical Systems · Mathematics 2017-03-07 M. Bartuccelli , G. Gentile , J. A. Wright

Efficient energy transfer often occurs between oscillation modes in a resonator when they are tuned to internal resonance. We design the eigenfrequencies of two vibrational modes of an electromechanical resonator to be close to a ratio of…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Yingming Yan , X. Dong , L. Huang , K. Moskovtsev , H. B. Chan
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