Destruction of quantum coherence and stochastic ionization of Rydberg electrons by fluctuating laser fields

G. Alber; B. Eggers

doi:10.1364/OE.1.000203

Optics Express
Vol. 1,
Issue 7,
pp. 203-209
(1997)
•https://doi.org/10.1364/OE.1.000203

Destruction of quantum coherence and stochastic ionization of Rydberg electrons by fluctuating laser fields

G. Alber and B. Eggers

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G. Alber and B. Eggers, "Destruction of quantum coherence and stochastic ionization of Rydberg electrons by fluctuating laser fields," Opt. Express 1, 203-209 (1997)

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Abstract

It is shown that diffusion and stochastic ionization of an optically excited Rydberg electron are generic long time phenomena which are consequences of the destruction of quantum coherence by laser fluctuations. Quantitatively these novel fluctuation-induced phenomena are characterized by non-exponential time evolutions whose power law dependences can be determined analytically. It is demonstrated that the competition between stochastic ionization and autoionization may lead to interesting new effects.

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Fig.1: Radial probability distributions of the excited Rydberg electron as a function of interaction time t in units of the mean classical orbit time T (r denotes the radial distance of the Rydberg electron from the nucleus in units of the Bohr radius); γT = 0.1, bT = 0.01 (a), γT = 10.0, bT = 10.0 (b), γT = 0.5, bT = 15.0 (c). (dark red…high probability, light blue…low probability)

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Fig.2: Initial state probability P_g (t) and ionization probability P_ion (t) as a function of interaction time t in units of the mean classical orbit time T; parameters as in Fig. la (a), parameters as in Fig.lb (b), parameters as in Fig.lc (c). In Fig.2d P_g (t) and the ionization probabilites P _ion-ch.l(t) and P _ion-ch.2(t) of channels 1 and 2 are shown for one-photon excitation of autoionizing Rydberg states with n̄ = α ₁ + (-2ϵ̄)^1/2 = 80, α ₁ = 0.1, γT = 1.0, bT = 300.0, Γ_n = 2τ(n - α ₁)^-3/π and τ = 10^-5a.u..

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H = ∊_{g} ∣ g 〉 〈 g ∣ + \sum_{n, i} ∊_{n, i} ∣ n, i 〉 〈 n, i ∣ - \sum_{n, i} (∣ n, i 〉 〈 g ∣ 〈 n, i ∣ d ∣ g 〉 ∙ E (t) e^{- iωt} + h . c .) .

t_{c} = \frac{4 π}{γb \sqrt{27}} {[\frac{{(\frac{{\bar{∊}}^{2} + 3 (b^{2} + \frac{γ^{2}}{4})}{4})}^{\frac{3}{2}}}{{\bar{∊}}^{2} + b^{2} + \frac{γ^{2}}{4}}]}^{\frac{1}{2}} .

P_{g} (t) = \frac{{(γ + 2 b)}^{2}}{{(2 bγ)}^{2}} {[\frac{γb Γ^{3} (\frac{5}{3})}{27 π ({\bar{∊}}^{2} + b^{2} + \frac{γ^{2}}{4})}]}^{\frac{1}{3}} t^{- \frac{5}{3}} (t > t_{c})

P_{ion} (t) = 1 - \frac{Γ (\frac{2}{3}) (γ + 2 b)}{6 bγ} {[\frac{γb}{π ({\bar{∊}}^{2} + b^{2} + \frac{γ^{2}}{4})}]}^{\frac{1}{3}} t^{- \frac{2}{3}} (t > t_{c})

P_{g} (t) = \frac{2}{\sqrt{π}} {[2 bγ T_{\bar{∊}} t]}^{- \frac{1}{2}} (t_{1} < t < t_{c})

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