Elements of Quantum Optics by Pierre Meystre

By Pierre Meystre

With a brand new bankruptcy on quantum entanglement and quantum info, in addition to further discussions of the quantum beam splitter, electromagnetically precipitated transparency, sluggish gentle and the input-output formalism, this fourth version of the intense paintings on quantum optics has been a lot up to date. It nonetheless provides a self-contained and vast assurance of the elemental components essential to comprehend and perform learn in laser physics and quantum optics, together with a overview of easy quantum mechanics and pedagogical introductions to system-reservoir interactions and to moment quantization. The textual content unearths the shut connection among many likely unrelated themes, equivalent to probe absorption, four-wave blending, optical instabilities, resonance fluorescence and squeezing.

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Since nonlinear crystals are expensive, it is worth trying to achieve the best conversion with the smallest crystal, namely for f1K L = 7r. In the plane-wave, collinear propagation model described here, perfect phase matching requires that the wave speeds Vn = vn / Kn all be equal, as would be the case in a dispersionless medium. More generally we have the difference f1K = K[ - K2 - Kd = (nivi - n2V2 - n{iVd)/c -1= 0 since the n's differ. 17) must be fulfilled for maximum 1<1. There are a number of ways to achieve this, including appropriate geometry, the use of birefringent media, and temperature index tuning.

10 In an optical cavity, the resonant wavelengths are determined by the constructive-interference condition that an integral number of wavelengths must occur in a round trip. The corresponding frequencies are determined by these wavelengths and the speed of light in the cavity. Given a cavity with a medium having anomalous dispersion, would it be possible to have more than one frequency resonant for a single wavelength? How? 11 Using Cartesian coordinates and using spherical coordinates show that the spherical wave exp(iKr-ivt)lr satisfies the wave equation for free space.

As function of time. 15 Calculate the first and second-order coherence functions for the field E+(r, t) = Eo e-b+iw)(t-r/c)e(t - ric) , e r where is the Heaviside (step) function. This would be the field emitted by an atom located at r = 0 and decaying spontaneously from time t = 0, if such a field could be described totally classically. 102) and (J = vic. 130). Use a personal computer to draw electron trajectories shown in Figs. 10-13 and discuss the trajectories. v. v. 134) , where P. V. , the integral along the real axis excluding an arbitrarily small counterclockwise semicircle around the pole at 1/' = 1/.

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