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For a nonrelativistic classical particle undergoing arbitrary oscillations, the generalized effective potential Y is derived from nonlinear eigenfrequencies of the particle-field system. Specifically, the ponderomotive potential is extended…

Plasma Physics · Physics 2009-11-13 I. Y. Dodin , N. J. Fisch

Quanta splitting is an essential generator of Gaussian entanglement, exemplified by Einstein-Podolsky-Rosen states and apparently the most commonly occurring form of entanglement. In general, it results from the strong pumping of a…

Quantum Physics · Physics 2024-09-25 Pradip Laha , Darren W. Moore , Radim Filip

We have studied the dynamics of one and two laser-cooled trapped $^{40}$Ca$^+$ ions by applying electric fields of different nature along the axial direction of the trap, namely, driving the motion with a harmonic dipolar field, or with…

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Arion Pons , Tsevi Beatus

We analyze the obtained solutions of the non-linear Shroedinger equation for spherically and axially symmetrical electrons density oscillations in plasma. The conditions of the oscillations process existence are examined. It is shown that…

Plasma Physics · Physics 2009-07-31 Maxim Dvornikov , Sergey Dvornikov

We propose a method to control the energy distribution in multimode mechanical systems using a single nonlinear feedback loop. We demonstrate that this feedback mechanism simultaneously amplifies the fundamental vibrational mode while…

Applied Physics · Physics 2026-04-14 Xu Zheng , Baowen Li

We consider the non-equilibrium dynamics of a molecular level interacting with local phonon modes in the case of a strong polaronic shift which prevents a perturbative treatment of the problem. Instead, we find that in an adiabatic regime…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Mozyrsky , M. B. Hastings , I. Martin

We show that the vibrations of a chain of trapped ions offer an interesting route to explore the physics of disordered quantum systems. By preparing the internal state of the ions in a quantum superposition, we show how the local…

Quantum Physics · Physics 2011-04-15 A. Bermudez , M. A. Martin-Delgado , D. Porras

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state…

Quantum Physics · Physics 2026-05-29 Fabian Hassler , David Scheer , Samah Saquaque , Steven Kim

The time-dependent probability density function of a system evolving towards a stationary state exhibits an oscillatory behavior if the eigenvalues of the corresponding evolution operator are complex. The frequencies \omega_n, with which…

Statistical Mechanics · Physics 2012-06-22 R. Salgado-Garcia

A method for the study of the electronic transport in strongly coupled electron-phonon systems is formalized and applied to a model of polyyne chains biased through metallic Au leads. We derive a stationary non equilibrium polaronic theory…

Mesoscale and Nanoscale Physics · Physics 2009-09-09 A. La Magna , I. Deretzis , V. Privitera

We use a single trapped-ion qutrit to demonstrate the violation of an input-state-independent non-contextuality inequality using a sequence of randomly chosen quantum non-demolition projective measurements. We concatenate 54 million…

Quantum Physics · Physics 2018-05-09 F. M. Leupold , M. Malinowski , C. Zhang , V. Negnevitsky , J. Alonso , A. Cabello , J. P. Home

We present approximate analytical method of analysis of stationary states of nonlinear quantum systems with the noise. As an example we consider quantum nonlinear oscillator excited by fluctuating force and found parameter regions with more…

Optics · Physics 2015-01-06 Igor Protsenko , Evgenii Protsenko , Alexander Uskov

Optomechanical systems can exhibit self-sustained limit cycles where the quantum state of the mechanical resonator possesses nonclassical characteristics such as a strongly negative Wigner density, as was shown recently in a numerical study…

Quantum Physics · Physics 2014-02-11 Niels Lörch , Jiang Qian , Aashish Clerk , Florian Marquardt , Klemens Hammerer

Non-linear effects on driven oscillations are important in many fields of physics, ranging from applied mechanics to optics. They are instrumental for quantum applications. A limitation is that the non-linearities known up to now are…

Mesoscale and Nanoscale Physics · Physics 2011-06-22 A. M. Hriscu , Yu. V. Nazarov

We consider preparation of nonclassical oscillatory states in a degenerate parametric oscillator combined with phase modulation. In this scheme intracavity oscillatory mode is excited by train of Gaussian laser pulses through degenerate…

Quantum Physics · Physics 2012-05-18 T. V. Gevorgyan , G. Yu. Kryuchkyan

We explore the possibility of engineering quantum states of a charged mechanical oscillator by coupling it to a stream of atoms in superpositions of high-lying Rydberg states. Our scheme relies on the driving of a two-phonon resonance…

Quantum Physics · Physics 2016-10-13 Robin Stevenson , Jiří Minář , Sebastian Hofferberth , Igor Lesanovsky

We study the dynamics of a mechanical resonator parametrically coupled to a driven dissipative quantum emitter in the ultra-strong coupling regime. We show that this regime is fully compatible with a semi-classical treatment, and we derive…

Quantum Physics · Physics 2019-01-16 Cyril Elouard , Benjamin Besga , Alexia Auffèves

Interaction of intense laser beam with an inversion symmetric third order nonlinear medium is modeled as a quartic anharmonic oscillator. A first order operator solution of the model Hamiltonian is used to study the possibilities of…

Quantum Physics · Physics 2022-06-10 Anirban Pathak

Multi-mode entanglement is investigated in the system composed of $N$ coupled identical harmonic oscillators interacting with a common environment. We treat the problem very general by working with the Hamiltonian without the rotating-wave…

Quantum Physics · Physics 2015-05-13 Gao-xiang Li , Li-hui Sun , Zbigniew Ficek
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