By Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg

ISBN-10: 0471293369

ISBN-13: 9780471293361

Atom-Photon Interactions: simple strategies and purposes permits the reader to grasp quite a few facets of the physics of the interplay among mild and subject. it truly is dedicated to the learn of the interactions among photons and atoms in atomic and molecular physics, quantum optics, and laser physics. The hassle-free tactics during which photons are emitted, absorbed, scattered, or exchanged among atoms are handled intimately and defined utilizing diagrammatic illustration. The ebook provides diverse theoretical techniques, including:

* Perturbative methods

* The resolvent method

* Use of the grasp equation

* The Langevin equation

* The optical Bloch equations

* The dressed-atom approach

Each technique is gifted in a self-contained demeanour in order that it can be studied independently. Many functions of those ways to easy and demanding actual phenomena are given to demonstrate the capability and barriers of every procedure.

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**Additional resources for Atom-Photon Interactions**

**Example text**

However, the interference pattern depends on the parity of n. The experimental result ∆B = (64 ± 2) × 10−4 T conﬁrms that if the spin has rotated by 4nπ, one recovers a constructive interference in channel 3 as in the absence of rotation, while if it has rotated by (4n + 2)π, the interference in C3 is destructive. The probability amplitude for the path ACD has changed sign in this latter case, although a spin measurement in this path after the magnet will give exactly the same result as on the incoming beam.

D. D. Miller, and P. Perrin, Phys. Rev. D 20, 2139 (1979). 5 Analysis of a Stern–Gerlach Experiment We analyze a Stern–Gerlach experiment, both experimentally and from the theoretical point of view. In the experimental setup considered here, a monochromatic beam of neutrons crosses a region of strongly inhomogeneous magnetic ﬁeld, and one observes the outgoing beam. e. slowed down by crossing liquid hydrogen at 20 K. They are incident on a monocrystal, for instance graphite, from which they are diﬀracted.

3) −∞ where we have used the initial condition α ˜ (−∞) = α(−∞) = 0. Now, since ˜ ) by its we want the value of α(t) to ﬁrst order in B1 , we can replace β(t ˜ unperturbed value β(t ) = 1 in the integral. This gives ω1 +∞ i(ω0 −ω)t −v|t |/a e dt 2i −∞ 1 ω1 v = . ia (ω − ω0 )2 + (v/a)2 γ−+ ≡ α ˜ (+∞) = The transition probability is therefore P−+ = 1 ω12 v 2 . a2 [(ω0 − ω)2 + (v/a)2 ]2 Fig. 1. Transition probability in one zone The width of the resonance curve is of the order of v/a. This quantity is the inverse of the time τ = a/v a neutron spends in the oscillating ﬁeld.

### Atom-Photon Interactions by Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg

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