We show theoretically how a driven harmonic oscillator can be used as a quantum simulator for the non-Markovian damped harmonic oscillator. In the general framework, our results demonstrate the possibility to use a closed system as a simulator for open quantum systems. The quantum simulator is based on sets of controlled drives of the closed harmonic oscillator with appropriately tailored elect...

Periodic steady-state behaviour of cross-coupled LC-tank oscillator is of critical importance in ultra-low power, lowvoltage transceiver circuits. Understanding the major factors affecting amplitude, oscillation frequency and power consumption would lead to more optimised oscillator design particularly for short-range wireless transceivers. This study presents a new approach for evaluating the ...

6.1 Harmonic Oscillator Reif §6.1: A simple harmonic one-dimensional oscillator has energy levels given by E n = (n + 1 2)ω, where ω is the characteristic (angular) frequency of the oscillator and where the quantum number n can assume the possible integral values n = 0, 1, 2,. . .. Suppose that such an oscillator is in thermal contact with a heat reservoir at temperature T low enough so that kT...

the energy loss of a 3-dimensional harmonic oscillator due to the quadrupole radiation in quadratic f (r) gravity is calculated.

T. OIDA, Y. KANG, T. MATSUDA, J. OKAMOTO, T. AZUMA, O. TAKIZAWA, A. AMANO, S. TSUTSUMI Graduate School of Informatics, Kyoto University, Kyoto, Japan, Institute for Frontier Medical Sciences, Kyoto University, Kyoto, Japan, Siemens-Asahi Medi cal Technologies Ltd., Tokyo, Japan Introduction In most magnetic resonance elastography (MRE) studies in vivo or ex vivo, a probe that contacted the targ...

In the present paper the linear oscillator in R3 with z =constanthas been considered. The aim is to determine the necessary conditions forthe persistence of periodic solutions under discontinuous perturbations. A newapproach based on a computational method has been used. At the end weapply our method on an example.

A CMOS voltage controlled Op-Amp oscillator based on N-stage single-ended chain of different inverter types is described in this paper. This paper describes a performance and comparison of a ring oscillator based VCO and an Op-Amp based oscillator based VCO. The VCO is intended to operate in a op-amp based VCO to generate local oscillator frequency for an system. An oscillator topology an impro...

In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...

‎We consider the oscillator group equipped with‎ ‎a biinvariant Lorentzian metric‎. ‎Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional‎ ‎restricted to vector fields‎. ‎Left-invariant vector fields defining harmonic maps are...

in this paper, we present a comparative study between the adomian decomposition method and two classical well-known runge-kutta and central difference methods for the solution of damped forced oscillator problem. we show that the adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply.