The paper analyzes the interaction of an atomic system with a quantum damped harmonic oscillator. Such an oscillator is the building block in the recently proposed models of bulk dielectrics and may also serve as a simple model of a small dielectric body. Dispersion and losses are taken into account by assuming the oscillator to be coupled to a zero-temperature reservoir consisting of an infini...

we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.

It is known that continuous variable quantum information cannot be protected against naturally occurring noise using Gaussian states and operations only. Noh, Girvin, Jiang proposed bosonic oscillator-to-oscillator codes relying on non-Gaussian resource as an alternative, showed these encodings can lead to a reduction of the effective error strength at logical level measured by variance classic...

OF THE THESIS OSCILLATOR STRENGTHS FROM TIME-DEPENDENT DENSITY FUNCTIONAL THEORY by Heiko Appel Thesis Director: Kieron Burke We consider different forms of single-pole approximations (SPA) for oscillator-strengths in the response formalism of time-dependent density functional theory. Numerical calculations of oscillator strengths are presented for a simple model system, Hooke’s atom, and vario...

A CMOS three-stage ring oscillator is examined in UMC 0.13 μm and 0.18 μm technologies. The influence of PMOS transistor and resistor, as inverter feedbacks, on the ring oscillator frequency and the peak-to-peak amplitude is investigated in both technologies. Furthermore, as the ring oscillator usually drives a buffer in pulse generator/transmitter chain, dependence of its Figures of Merit on t...

A coherent study of tuning properties of resonantcap IMPATT oscillator at Ka-band has been carried out by mechanical and electronic means. It is experimentally observed that output power of IMPATT oscillator passes through a maximum, with an optimum combination of cap diameter and cap height. An empirical relation is obtained between cap diameter and wavelength of the optimised resonant cap osc...

The fact that there exists a core sinusoidal oscillator at the heart of Saito’s double-screw hysteresis chaotic oscillator is demonstrated. By applying Bruton’s transformation to the active linear part of the circuit, which is shown to be a classical LC-R negative resistor sinusoidal oscillator, an inductorless realization based on a frequency-dependent negative resistor (FDNR) is obtained. The...

We study the transition probability and coherence of a two-site system, interacting with an oscillator. Both properties depend on the initial preparation. The oscillator is prepared in a thermal state and, even though it cannot be considered as an extended bath, it produces decoherence because of the large number of states involved in the dynamics. In the case in which the oscillator is initial...

In the beginning of the 1950’s, Wigner introduced a fundamental deformation from the canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a Wigner quantum oscillator or a parabose oscillator. Also, in quantum mechanics the socalled Wigner distribution is considered to be the closest quantum analogue of the classical probability distribution over the phase space. ...

9.1 Harmonic Oscillator 9.1.1 Classical harmonic oscillator and h.o. model 9.1.2 Oscillator Hamiltonian: Position and momentum operators 9.1.3 Position representation 9.1.4 Heisenberg picture 9.1.5 Schrödinger picture 9.2 Uncertainty relationships 9.3 Coherent States 9.3.1 Expansion in terms of number states 9.3.2 Non-Orthogonality 9.3.3 Uncertainty relationships 9.3.4 X-representation 9.4 Phon...