Download Coherent manipulations of atoms using laser light by Shore B.W. PDF

By Shore B.W.

Show description

Read Online or Download Coherent manipulations of atoms using laser light PDF

Similar light books

Lasers, Molecules and Methods

In line with a symposium on lasers, molecules, and strategies held on the Los Alamos heart for Nonlinear reviews held in July 1986. members current fresh advances in theoretical and experimental study on a range of dynamical and optical phenomena due to the interactions of laser beams with molecules.

Light Alloys Directory and Databook

Gentle Alloys listing and Databook is a world-wide listing of the houses and providers of sunshine alloys utilized in, or proposed for, a variety of engineering functions. Alloys lined will contain aluminium alloys, magnesium alloys, titanium alloys, beryllium. For the metals thought of each one part will include: a brief creation; a desk evaluating simple facts and a chain of comparability sheets.

Optics and Lasers: Including Fibers and Optical Waveguides

Optics and Lasers is an creation to engineering and utilized optics, together with not just basic ray and wave optics, but additionally lasers, holography, copherence, fibers, and optical waveguides. It stresses physicalprinciples, purposes, and instrumentation. it is going to be so much usefull to the practising engineer or experimental scientist, graduate scholar, or complicated undergraduate.

Extra info for Coherent manipulations of atoms using laser light

Sample text

1), then the interaction V (t) embodies an exponential exp(iωt) that exactly cancels the exponentials appearing in in these equations 50 . It then becomes a straightforward exercise in numerical integration to obtain the solutions, starting e. g. with the initial conditions C1 (0) = 1, C2 (0) = 0. (101) In principle, there is no difficulty in integrating numerically the exact two-state differential equations for any reasonable time variation of Ω(t), using appropriate numerical tools [68]. Alternatively, when the light is linearly polarized, so the interaction V (t) is that of eqn.

They are also known as dressed states [74, 75]; the original basis states ψn are termed bare states). The energy eigenvalues are readily found as 1 ε± = 2 [∆ ± Ω], where Ω = ∆ 2 + Ω2 . (139) To find expressions for the eigenvectors we introduce an angle Θ through the definition cot(2Θ) = ∆/Ω (140) Two-state coherent excitation examples 299 and rewrite the Hamiltonian, using trigonometric identities, as W = Ω 2 = Ω 0 sin(2Θ) eiϕ sin(2Θ) e−iϕ 2 cos(2Θ) 0 sin Θ cos Θ eiϕ sin Θ cos Θ e−iϕ cos2 Θ − sin2 Θ .

2), and a statevector having 2S + 1 Hilbert-space coordinates (and hence a representation of total spin S) [61]. Applied to the present case the Majorana approach considers the N = 2S + 1 roots xn of the polynomial equation 37 n−1 ΣN = 0. (n + 1)! , (48) 37 The statevector coefficients c have indices n = 1, . . , N − 1. These are associated in the polynomial with powers n xN −1 , · · · , x0 . g. hn = 1). Each complex-valued root can be expressed as a pair of angles, xn = tan(θn /2)eiφn . (49) Each of these define a point on a unit sphere – the Bloch sphere The complete description of the statevector consists of N − 1 points on the Bloch sphere.

Download PDF sample

Rated 4.30 of 5 – based on 10 votes