scholarly journals Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 939
Author(s):  
R. A. Alharbey ◽  
H. Abusamra
Keyword(s):  
Harmonic Oscillator ◽  
Radiation Detector ◽  
Single Mode ◽  
Haar Wavelet ◽  
Morlet Wavelet ◽  
Spectral Lines ◽  
Pulse Parameters ◽  
Driving Pulse ◽  
Repetition Time ◽  
Wavelet Spectra

We investigate the nature of spectral lines of emitted radiation due to of a non-dissipative single-mode quantized harmonic oscillator (HO) with train of n-chirped Gaussian pulses. Specifically, we analyze the transient emitted spectrum through two window wavelet functions of the radiation detector, namely the Haar wavelet and Morlet wavelet. Computational display of the exact analytical results shows how the driving pulse parameters (strength and number of pulses, chirping, repetition time) act as control knobs to shape the detected emitted spectrum as desired.

(ANTI)COMMUTATIVITY OF THE HARMONIC CREATION AND ANNIHILATION OPERATORS

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1808-1818
Author(s):  
S. KUWATA ◽  
A. MARUMOTO
Keyword(s):  
Irreducible Representation ◽  
Harmonic Oscillator ◽  
Linear Algebra ◽  
Commutation Relation ◽  
Complex Number ◽  
Single Mode ◽  
Equation Of Motion ◽  
Sufficient Condition ◽  
Special Linear ◽  
Creation And Annihilation Operators

It is known that para-particles, together with fermions and bosons, of a single mode can be described as an irreducible representation of the Lie (super) algebra 𝔰𝔩2(ℂ) (2-dimensional special linear algebra over the complex number ℂ), that is, they satisfy the equation of motion of a harmonic oscillator. Under the equation of motion of a harmonic oscillator, we obtain the set of the commutation relations which is isomorphic to the irreducible representation, to find that the equation of motion, conversely, can be derived from the commutation relation only for the case of either fermion or boson. If Nature admits of the existence of such a sufficient condition for the equation of motion of a harmonic oscillator, no para-particle can be allowed.

scholarly journals Extreme Radiation Sensitivity of Ultra-Low Loss Pure-Silica-Core Optical Fibers at Low Dose Levels and Infrared Wavelengths

Sensors ◽  
2020 ◽  
Vol 20 (24) ◽  
pp. 7254
Author(s):  
Adriana Morana ◽  
Cosimo Campanella ◽  
Jeoffray Vidalot ◽  
Vincenzo De Michele ◽  
Emmanuel Marin ◽  
...  
Keyword(s):  
Optical Fibers ◽  
Data Transfer ◽  
Radiation Detector ◽  
Single Mode ◽  
Fiber Types ◽  
X Rays ◽  
Low Loss ◽  
Distributed Sensors ◽  
Pure Silica ◽  
Silica Core

We report here the response of a commercial ultra-low loss (ULL) single-mode (SM) pure silica core (PSC) fiber, the Vascade EX1000 fiber from Corning, associated with 0.16 dB/km losses at 1.55 µm to 40 keV X-rays at room temperature. Today, among all fiber types, the PSC or F-doped ones have been demonstrated to be the most tolerant to the radiation induced attenuation (RIA) phenomenon and are usually used to design radiation-hardened data links or fiber-based point or distributed sensors. The here investigated ULL-PSC showed, instead, surprisingly high RIA levels of ~3000 dB/km at 1310 nm and ~2000 dB/km at 1550 nm at a limited dose of 2 kGy(SiO2), exceeding the RIA measured in the P-doped SM fibers used for dosimetry for doses of ~500 Gy. Moreover, its RIA increased as a function of the dose with a saturation tendency at larger doses and quickly recovered after irradiation. Our study on the silica structure suggests that the very specific manufacturing process of the ULL-PSC fibers applied to reduce their intrinsic attenuation makes them highly vulnerable to radiations even at low doses. From the application point of view, this fiber cannot be used for data transfer or sensing in harsh environments, except as a very efficient radiation detector or beam monitor.

scholarly journals Self-assembled semiconductor quantum dots decorating the facets of GaAs nanowire for single-photon emission

2017 ◽  
Vol 4 (2) ◽  
pp. 196-209 ◽  
Author(s):  
Ying Yu ◽  
Guo-Wei Zha ◽  
Xiang-Jun Shang ◽  
Shuang Yang ◽  
Ban-Quan Sun ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Optical Fibers ◽  
Single Photon ◽  
Photon Emission ◽  
Single Mode ◽  
Spectral Lines ◽  
Quantum Ring ◽  
Integrated Networks ◽  
Gaas Nanowire ◽  
Self Assembled

Abstract In this chapter, we discuss the epitaxial growth of self-assembled quantum dots (QDs) in GaAs nanowires (NWs) and the characteristics of their single-photon emissions. We demonstrate Ga droplet-induced gold-free vapor-liquid-solid growth of hexagonal GaAs/AlGaAs core–shell NWs, branched GaAs NWs and tailored nanostructured morphologies on the NW facets. Particularly, we show two new types of QD-in-NW systems: one is a single InAs QD formed at the corner of a branched GaAs NW, and the other is a single GaAs QD formed on the NW facet. Sharp excitonic emission spectral lines are observed with vanishing two-photon emission probability. Furthermore, a single GaAs QD is achieved at the site of a single AlGaAs quantum ring (QR) on the NW facet. In addition, these NW-based single QDs are in-situ probed and integrated with single-mode optical fibers to achieve all-fiber-output single-photon sources for potential application in quantum integrated networks.

Transient spectrum of sin2-pulsed driven harmonic oscillator

2014 ◽  
Vol 23 (04) ◽  
pp. 1450052
Author(s):  
S. S. Hassan ◽  
R. A. Alharbey ◽  
H. Al-Zaki
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Pulse Shape ◽  
Coupled System ◽  
Single Mode ◽  
Central Peak ◽  
Hole Burning ◽  
Initial Amplitude ◽  
Fluorescent Spectrum ◽  
Initial Excitation

Exact analytical results are derived for the coupled system of nondissipative single mode quantized harmonic oscillator (HO) and arbitrary pulse shape. Specifically, for a sin2-pulse shape, the transient fluorescent spectrum is obtained in the general case of initial coherent state |α〉 of the HO. The dominant central Lorentzian is surrounded by weak oscillations due to the larger number of sequential pulses which get amplified asymmetrically in the nonresonant case as a result of balancing and interference processes between the initial excitation (|α2|) and the strength of the exciting pulse. Further pronounced oscillations is noticed with "hole burning" structure in the central peak due to nonzero phase of the initial amplitude (α).

scholarly journals On the Open Dicke-Type Model Generated by an Infinite-Component Vector Spin

2020 ◽  
Vol 27 (03) ◽  
pp. 2050012
Author(s):  
Ryota Kyokawa ◽  
Hajime Moriya ◽  
Hiroshi Tamura
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Single Mode ◽  
Type Model ◽  
Quantum Model ◽  
Asymptotic Equivalence ◽  
Completely Positive ◽  
Type Interaction ◽  
Dicke Model ◽  
Infinite Component

We consider an open Dicke model comprising a single infinite-component vector spin and a single-mode harmonic oscillator which are connected by Jaynes–Cummings-type interaction between them. This open quantum model is referred to as the OISD (Open Infinite-component Spin Dicke) model. The algebraic structure of the OISD Liouvillian is studied in terms of superoperators acting on the space of density matrices. An explicit invertible superoperator (precisely, a completely positive trace-preserving map) is obtained that transforms the OISD Liouvillian into a sum of two independent Liouvillians, one generated by a dressed spin only, the other generated by a dressed harmonic oscillator only. The time evolution generated by the OISD Liouvillian is shown to be asymptotically equivalent to that generated by an adjusted decoupled Liouvillian with some synchronized frequencies of the spin and the harmonic oscillator. This asymptotic equivalence implies that the time evolution of the OISD model dissipates completely in the presence of any (tiny) dissipation.

ON q-DEFORMED PARA OSCILLATORS AND PARA-q OSCILLATORS

1992 ◽  
Vol 07 (28) ◽  
pp. 2593-2600 ◽  
Author(s):  
M. KRISHNA KUMARI ◽  
P. SHANTA ◽  
S. CHATURVEDI ◽  
V. SRINIVASAN
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Annihilation Operator ◽  
Single Mode ◽  
Commutation Relations

Three generalized commutation relations for a single mode of the harmonic oscillator which contains para-bose and q oscillator commutation relations are constructed. These are shown to be inequivalent. The coherent states of the annihilation operator for these three cases are also constructed.

q-PHASE OPERATOR IN A FINITE-DIMENSIONAL HILBERT SPACE

1995 ◽  
Vol 10 (04) ◽  
pp. 347-357 ◽  
Author(s):  
YAPING YANG ◽  
ZURONG YU
Keyword(s):  
Hilbert Space ◽  
Electromagnetic Field ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Single Mode ◽  
Phase Operator ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space ◽  
Phase Operators

In this letter, the unitary and Hermitian phase operators for the single-mode electromagnetic field are given in the q-deformed case. A new kind of q-coherent states of a q-harmonic oscillator in a finite-dimensional Hilbert space are introduced. Some properties of these operators and q-coherent states are discussed.

scholarly journals Multiscale analysis of a non-periodic epidemic time series using wavelet transform

2019 ◽  
Author(s):  
Jean Gaudart ◽  
Stanislas Rebaudet ◽  
Gaetan Texier ◽  
Robert Barrais ◽  
Renaud Piarroux ◽  
...  
Keyword(s):  
Time Series ◽  
Wavelet Transform ◽  
Multiscale Analysis ◽  
Haar Wavelet ◽  
Rainfall Time Series ◽  
Cholera Case ◽  
Cross Wavelet Analysis ◽  
The Relationship ◽  
Cross Wavelet ◽  
Wavelet Spectra

SummaryThe aim of the present study was to develop a method for multiscale analysis of non-stationary and non-periodic epidemic time series. Indeed, the epidemiologists may need to know the features, at different resolutions, of short duration outbreaks that did not exhibit periodic cycles. Among of the large number of wavelets, we have developed a continuous wavelet that shows an analogous shape to the Haar wavelet, and leads to precise time localization. We applied the wavelet transform to the cholera epidemic, which began in October 2010 in Haiti. We determined the wavelet spectra of both the cholera case toll and rainfall time series, from September 01, 2010, to November 20, 2012 (812 days). The relationship between case toll and rainfall was analyzed using cross-wavelet spectra at different lags. Cholera case toll scalogram highlighted four epidemic bursts. Cross-wavelet analysis highlighted an absence of relationship between the first epidemic burst and rainfall, but a clear relationship between the following epidemic bursts and rainfall after a 3 to 8 day lag.

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