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The quantization of a constant of motion for the harmonic oscillator with a time-explicitly depending external force is carried out. This quantization approach is compared with the normal Hamiltonian quantization approach. Numerical results…

Quantum Physics · Physics 2016-09-08 G. Lopez

In this paper, a novel electret-based capacitive energy harvesting device has been developed according to out-of-plane gap closing scheme. The device is composed of a micro cantilever and a substrate which form a variable capacitor and is…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Mahyar Ghavami Khabir , Saber Azizi , Mohammad Reza Ghazavi

We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Brownian motion or superdiffuse like a maximally 3/2-stable…

Probability · Mathematics 2016-11-10 Cedric Bernardin , Patricia Goncalves , Milton Jara

Concepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Random Coupling Model (RCM) describes these properties by…

Chaotic Dynamics · Physics 2017-10-16 Min Zhou , Edward Ott , Thomas M. Antonsen , Steven M. Anlage

Optical oscillators present a powerful optimization mechanism. The inherent competition for the gain resources between possible modes of oscillation entails the prevalence of the most efficient single mode. We harness this 'ultrafast'…

Optics · Physics 2016-02-23 Avi Pe'er , Igal Aharonovich

This paper presents a new method for evaluating the synchronization of quasi-periodic oscillations of two oscillators, termed "chimeric synchronization". The family of metrics is proposed to create a neural network information converter…

Adaptation and Self-Organizing Systems · Physics 2019-08-20 Andrei Velichko

We propose a new concept to generate efficient one-third harmonic light from an unseeded third harmonic process in optical fibers. Our concept is based on the dynamic constant (Hamiltonian) of the nonlinear third harmonic generation in…

The center of mass motion of trapped ions and neutral atoms is suitable for approximation by a time-dependent driven quantum harmonic oscillator whose frequency and driving strength may be controlled with high precision. We show the time…

Quantum Physics · Physics 2024-03-25 E. García Herrera , F. Torres-Leal , B. M. Rodríguez-Lara

It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, $\omega_{0}(t_{0})= \omega_{0}(0)$, cannot decrease on the average if the system is originally in a stationary…

Quantum Physics · Physics 2015-06-26 Kenichi Konishi , Giampiero Paffuti

We study the entanglement properties of a closed chain of harmonic oscillators that are coupled via a translationally invariant Hamiltonian, where the coupling acts only on the position operators. We consider the ground state and thermal…

Quantum Physics · Physics 2009-11-07 K. Audenaert , J. Eisert , M. B. Plenio , R. F. Werner

The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory. This multifaceted nature extends…

High Energy Physics - Theory · Physics 2021-02-10 Arpan Bhattacharyya , Wissam Chemissany , S. Shajidul Haque , Jeff Murugan , Bin Yan

Pulses applied to an inhomogeneously broadened set of harmonic oscillators, previously prepared in squeezed states, can lead to a recovery of coherence, manifesting itself as echoes, similar to those exhibited by an ensemble of spins when…

Quantum Physics · Physics 2021-01-13 Roberto Merlin , Andrea Bianchini

We present a method for analyzing the phase noise of oscillators based on feedback driven high quality factor resonators. Our approach is to derive the phase drift of the oscillator by projecting the stochastic oscillator dynamics onto a…

Pattern Formation and Solitons · Physics 2015-10-28 Eyal Kenig , M. C. Cross

The Fourier series method is used to solve the homogeneous equation governing the motion of the harmonic oscillator. It is shown that the general solution to the problem can be found in a surprisingly simple way for the case of the simple…

General Physics · Physics 2013-10-01 A. S. de Castro

Smart multiantenna wireless power transmission can enable perpetual operation of energy harvesting (EH) nodes in the internet-of-things. Moreover, to overcome the increased hardware cost and space constraints associated with having large…

Information Theory · Computer Science 2019-02-25 Deepak Mishra , Håkan Johansson

We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Z. -F. Li , J. J. Liu , Wolfgang Lucha , W. G. Ma , F. F. Schoberl

We consider a chain consisting of $n+1$ pinned harmonic oscillators subjected on the right to a time dependent periodic force $\cF(t)$ while Langevin thermostats are attached at both endpoints of the chain. We show that for long times the…

Mathematical Physics · Physics 2023-09-13 Pedro Garrido , Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We study energy harvesting (EH) transmitter and receiver, where the receiver decodes data using the harvested energy from the nature and from an independent EH node, named helper. Helper cooperates with the receiver by transferring its…

Information Theory · Computer Science 2016-04-19 Mohsen Abedi , Mohammad Javad Emadi , Behzad Shahrasbi

The light-harvesting efficiency of a photoactive molecular complex is largely determined by the properties of its electronic quantum states. Those, in turn, are influenced by molecular vibrational states of the nuclear degrees of freedom.…

Biological Physics · Physics 2019-10-23 Hong-Guang Duan , Michael Thorwart , R. J. Dwayne Miller

The 1-D dimension harmonic oscillator in Snyder space is investigated in its classical and quantum versions. The classical trajectory is obtained and the semiclassical quantization from the phase space trajectories is discussed. In the…

Mathematical Physics · Physics 2011-04-07 Carlos Leiva