Abstract

Strong-field ionization of Rydberg atoms is investigated in its dependence on phase features of the initial coherent population of Rydberg levels. In the case of a resonance between Rydberg levels and some lower-energy atomic level (V-type transitions), this dependence is shown to be very strong: by a proper choice of the initial population an atom can be made either completely or very little ionized by a strong laser pulse. It is shown that phase features of the initial coherent population of Rydberg levels and the ionization yield can be efficiently controlled in a scheme of ionization by two strong laser pulses with a varying delay time between them.

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References

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  1. M.V. Fedorov and A.M. Movsesian, "Field-Induced Effects of Narrowing of Photoelectron Spectra and Stabilization of Rydberg Atoms," J. Phys. B 21, L155 (1988).
    [CrossRef]
  2. L. Noordam, H. Stapelfeldt, D.I. Duncan, and T.F. Gallagher, "Redistribution of Rydberg States by Intense Picosecond Pulses," Phys. Rev. Lett. 68, 1496 (1992).
    [CrossRef] [PubMed]
  3. J.H. Hoogenraad, R.B. Vrijen, and L.D. Noordam, "Ionization suppression of Rydberg atoms by short laser pulses," Phys. Rev. A 50, 4133 (1994).
    [CrossRef] [PubMed]
  4. M.Yu. Ivanov, "Suppression of resonant multiphoton ionization via Rydberg states," Phys. Rev. A, 49, 1165 (1994).
    [CrossRef] [PubMed]
  5. A. Wojcik and R. Parzinski, "Rydberg-atom stabilization against photoionization: an analitically solvable model with resonance," Phys. Rev. A, 50, 2475 (1994).
    [CrossRef] [PubMed]
  6. A. Wojcik and R. Parzinski, "Dark-state effect in Rydberg-atom stabilization," J. Opt. Soc. Am. B, 12, 369 (1995).
    [CrossRef]
  7. M.V. Fedorov and N.P. Poluektov, "_- and V-Type Transitions and Their Role in the Interference Stabilization of Rydberg Atoms," Laser Physics, 7, 299 (1997).
  8. M.V. Fedorov and N.P. Poluektov, "Competition between _- and V-type transitions in interference stabilization of Rydberg atoms," Opt. Express, 2, 51 (1998). http://www.opticsexpress.org/oearchive/source/2982.htm
    [CrossRef] [PubMed]
  9. N.P. Poluektov and M.V. Fedorov, "Stabilization of a Rydberg atom and competition between the _ and V transition channels," JETP, 87, 445 (1998).
    [CrossRef]
  10. M.V. Fedorov, Atomic and Free Electrons in a Strong Light Field, World Scientific: Singapore, 1997.
  11. D.I. Duncan and R.R. Jones, "Interferometric characterization of Raman redistribution among perturbed Rydberg states of barium," Phys. Rev. A, 53, 4338 (1996).
    [CrossRef] [PubMed]
  12. N.B. Delone, S.P. Goreslavsky, and V.P. Krainov, "Quasiclassical dipole matrix elements for atomic continuum states," J. Phys. B 22, 2941 (1989).
    [CrossRef]
  13. M.B. Campbell, T.J. Bensky, and R.R. Jones, "Single-shot detection of wavepacket evolution," Opt. Express, 1, 197 (1997). http://www.opticsexpress.org/oearchive/source/2217.htm
    [CrossRef] [PubMed]

Other (13)

M.V. Fedorov and A.M. Movsesian, "Field-Induced Effects of Narrowing of Photoelectron Spectra and Stabilization of Rydberg Atoms," J. Phys. B 21, L155 (1988).
[CrossRef]

L. Noordam, H. Stapelfeldt, D.I. Duncan, and T.F. Gallagher, "Redistribution of Rydberg States by Intense Picosecond Pulses," Phys. Rev. Lett. 68, 1496 (1992).
[CrossRef] [PubMed]

J.H. Hoogenraad, R.B. Vrijen, and L.D. Noordam, "Ionization suppression of Rydberg atoms by short laser pulses," Phys. Rev. A 50, 4133 (1994).
[CrossRef] [PubMed]

M.Yu. Ivanov, "Suppression of resonant multiphoton ionization via Rydberg states," Phys. Rev. A, 49, 1165 (1994).
[CrossRef] [PubMed]

A. Wojcik and R. Parzinski, "Rydberg-atom stabilization against photoionization: an analitically solvable model with resonance," Phys. Rev. A, 50, 2475 (1994).
[CrossRef] [PubMed]

A. Wojcik and R. Parzinski, "Dark-state effect in Rydberg-atom stabilization," J. Opt. Soc. Am. B, 12, 369 (1995).
[CrossRef]

M.V. Fedorov and N.P. Poluektov, "_- and V-Type Transitions and Their Role in the Interference Stabilization of Rydberg Atoms," Laser Physics, 7, 299 (1997).

M.V. Fedorov and N.P. Poluektov, "Competition between _- and V-type transitions in interference stabilization of Rydberg atoms," Opt. Express, 2, 51 (1998). http://www.opticsexpress.org/oearchive/source/2982.htm
[CrossRef] [PubMed]

N.P. Poluektov and M.V. Fedorov, "Stabilization of a Rydberg atom and competition between the _ and V transition channels," JETP, 87, 445 (1998).
[CrossRef]

M.V. Fedorov, Atomic and Free Electrons in a Strong Light Field, World Scientific: Singapore, 1997.

D.I. Duncan and R.R. Jones, "Interferometric characterization of Raman redistribution among perturbed Rydberg states of barium," Phys. Rev. A, 53, 4338 (1996).
[CrossRef] [PubMed]

N.B. Delone, S.P. Goreslavsky, and V.P. Krainov, "Quasiclassical dipole matrix elements for atomic continuum states," J. Phys. B 22, 2941 (1989).
[CrossRef]

M.B. Campbell, T.J. Bensky, and R.R. Jones, "Single-shot detection of wavepacket evolution," Opt. Express, 1, 197 (1997). http://www.opticsexpress.org/oearchive/source/2217.htm
[CrossRef] [PubMed]

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Figures (5)

Fig.1 .
Fig.1 .

scheme of V-type Raman transitions in a Rydberg atom.

Fig.2 .
Fig.2 .

robability of ionization of “the most stable” state (19) vs. the field-strength parameter V calculated in a model of 17 equidistant Rydberg levels for τ=TK (blue); 5 TK (green); 15 TK (red); and ∞ (black), δ=Δ/2, Ω R =3Δ·V.

Fig.3 .
Fig.3 .

robability of ionization of “the most stable” state (16) vs. detuning δ for τ=TK and V=0,3 (green), 1,0 (red), and 3,0 (black); Ω R =3Δ·V and 17 equidistant Rydberg levels are taken into account.

Fig. 4.
Fig. 4.

Probability of ionization by two subsequent laser pulses vs. the delay time between them τd (in units of 1/Δ) for n 0=25, m 0=10, V=0,5, τ=50 TK , and δ=Δ/2 in a model of 17 equidistant Rydberg levels and Ω n, m ≡Ω and Γ n, n ≡Γ

Fig. 5.
Fig. 5.

The same as in Fig. 4, but for the realistic non-equidistant atomic spectrum and realistic n-dependent quasiclassical [10, 12] matrix elements Ω n, m and Γ n, n .

Equations (28)

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i Ψ t = [ H 0 + V ( t ) ] Ψ ,
Ψ ( t ) = m a m ( t ) φ m + n a n ( t ) φ n + d E a E ( t ) φ E .
w ion = 1 n a n ( τ ) 2 m a m ( τ ) 2 ,
i a ˙ m = E m a m + n Ω m , n exp ( i ω t ) a n ,
i a ˙ n = m Ω n , m exp ( i ω t ) a m + E n a n i n ' Γ n , n ' 2 a n ' .
i a ˜ ˙ m 0 = δ a ˜ m 0 + Ω R n a n ,
i a ˙ n = Ω R a ˜ m 0 + ( n n 0 ) Δ a n i Γ 2 n a n ,
a ˜ m 0 ( t = 0 ) = 0 , a n ( t = 0 ) = a n ( 0 )
δ b ˜ Ω R n b n = γ b ˜ ,
Ω R b ˜ n Δ b n + i Γ 2 n ' b n ' = γ b n .
a ˜ m 0 = j C ˜ m 0 , j exp ( i γ j t ) , a n = j C n , j exp ( i γ j t ) ,
( γ δ ) { 1 + i Γ 2 n 1 γ n Δ } Ω R 2 n 1 γ n Δ = 0 ,
a ˜ m 0 ( t ) = Ω R j B ( γ j ) A ( γ j ) exp ( i γ j t ) ,
a n ( t ) = j Ω R 2 + i Γ 2 ( γ j δ ) ( γ j n Δ ) A ( γ j ) B ( γ ) exp ( i γ j t ) ,
A ( γ j ) = 1 + i Γ 2 n 1 γ j n Δ [ ( γ j δ ) i Γ 2 Ω R 2 ] n 1 ( γ j n Δ ) 2 ,
B ( γ j ) = n a n ( 0 ) γ j n Δ ) .
Re [ γ j ] = ( j + 1 2 ) Δ ( Δ π Ω R ) 2 [ ( j + 1 2 ) Δ δ ] ,
Im [ γ j ] = Γ 2 ( Δ 2 π Ω R 2 ) 2 [ j + 1 2 δ Δ ] 2 .
δ = δ j 0 = ( j 0 + 1 2 ) Δ
τ > 1 Γ ( Ω R Δ ) 4 T K ( Ω R Δ ) 4 ,
w ion ( τ ) = 1 ( Ω R Δ ) 2 1 + π 2 ( Ω R Δ ) 2 n a n ( 0 ) n 1 2 2 .
w ion ( τ , F 0 ) = 1 1 π 2 n a n ( 0 ) n 1 2 2 .
n a n ( 0 ) n 1 2 2 = π 2 ,
a ˜ m 0 = 1 [ 1 + π 2 ( Ω R Δ ) 2 ] 1 2 , a n = Ω R Δ [ 1 + π 2 ( Ω R Δ ) 2 ] 1 2 1 n 1 2 .
a ˜ m 0 = 0 , a n = 1 π 1 n 1 2 ,
w ion ( τ ) = 1 1 + π 2 ( Ω R Δ ) 2 .
a n ( 0 ) = a n exp ( i E n τ d ) = a n exp [ i ( E n E n 0 ) τ d ] exp ( i E n 0 τ d )
a n exp [ i ( n n 0 ) Δ τ d ] exp ( i E n 0 τ d ) .

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