Abstract

Numerical integrations of the two-dimensional Schrödinger equation that describes a flat atom interacting with an intense and linearly polarized laser field are presented. Simulations show the influence of the drift that is due to the magnetic field in situations in which a strong dichotomy of the wave function would otherwise have been expected.

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References

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  1. J. H. Eberly, R. Grobe, C. K. Law and Q. Su, "Numerical experiments in strong and super-strong fields," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992).
  2. K. C. Kulander, K. J. Schafer and J. L. Krause, "Time-dependent studies of multiphoton processes," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992).
  3. Q. Su, A. Sanpera and L. Roso-Franco, "Atomic stabilization in the presence of intense laser pulses," Int. J. Mod. Phys. B 8, 1655 (1994).
    [CrossRef]
  4. M. Gavrila, "Atomic structure and decay in high frequency fields," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992), and references therein.
  5. M. Protopapas, C. H. Keitel and P. L. Knight,"Atomic physics with super-high intensity lasers," Rep. Prog. Phys. 60, 389-486 (1997), and references therein.
    [CrossRef]
  6. A. Patel, N. J. Kylstra and P. L. Knight, "Ellipticity and pulse shape dependence of localised wavepackets," Opt. Express 4, 496-537 (1999), http://www.opticsexpress.org/oearchive/source/10164.htm
    [CrossRef] [PubMed]
  7. M. Protopapas, C. H. Keitel and P. L. Knight, "Relativistic mass shift effects in adiabatic intense laser field stabilization of atoms," J. Phys. B 29, L591-L598 (1996).
    [CrossRef]
  8. C. H. Keitel and P. L. Knight, "Monte Carlo classical simulations of ionization and harmonic generation in the relativistic domain," Phys. Rev. A 51, 1420-1430 (1995).
    [CrossRef] [PubMed]
  9. P. Moreno, "Harmonic generation by H and H + 2 in intense laser pulses," Ph. D. dissertation, (Universidad de Salamanca, Salamanca, Spain, 1997).
  10. A. D. Bandrauk and H. Shen, "Exponential split operator methods for solving coupled time-dependent Schr�dinger equations," J. Chem. Phys. 99, 1185-1193 (1993).
    [CrossRef]

Other (10)

J. H. Eberly, R. Grobe, C. K. Law and Q. Su, "Numerical experiments in strong and super-strong fields," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992).

K. C. Kulander, K. J. Schafer and J. L. Krause, "Time-dependent studies of multiphoton processes," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992).

Q. Su, A. Sanpera and L. Roso-Franco, "Atomic stabilization in the presence of intense laser pulses," Int. J. Mod. Phys. B 8, 1655 (1994).
[CrossRef]

M. Gavrila, "Atomic structure and decay in high frequency fields," in Atoms in Intense Laser Fields, M. Gavrila, ed. (Academic, San Diego, Calif., 1992), and references therein.

M. Protopapas, C. H. Keitel and P. L. Knight,"Atomic physics with super-high intensity lasers," Rep. Prog. Phys. 60, 389-486 (1997), and references therein.
[CrossRef]

A. Patel, N. J. Kylstra and P. L. Knight, "Ellipticity and pulse shape dependence of localised wavepackets," Opt. Express 4, 496-537 (1999), http://www.opticsexpress.org/oearchive/source/10164.htm
[CrossRef] [PubMed]

M. Protopapas, C. H. Keitel and P. L. Knight, "Relativistic mass shift effects in adiabatic intense laser field stabilization of atoms," J. Phys. B 29, L591-L598 (1996).
[CrossRef]

C. H. Keitel and P. L. Knight, "Monte Carlo classical simulations of ionization and harmonic generation in the relativistic domain," Phys. Rev. A 51, 1420-1430 (1995).
[CrossRef] [PubMed]

P. Moreno, "Harmonic generation by H and H + 2 in intense laser pulses," Ph. D. dissertation, (Universidad de Salamanca, Salamanca, Spain, 1997).

A. D. Bandrauk and H. Shen, "Exponential split operator methods for solving coupled time-dependent Schr�dinger equations," J. Chem. Phys. 99, 1185-1193 (1993).
[CrossRef]

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Figures (1)

Figure 1.
Figure 1.

Probability density |Ψ(x, y, t)|2 of the electron after 10 cycles of the field for E 0=15 au (intensity, 7.9×1018 W/cm 2) and ωL =1 au (photon energy, 27 eV). A linear envelope four-cycles turn-on has been employed. (a) results obtained in the dipole approximation, (b) simulation including the space dependence of the fields [Eq. (5)]. In both cases, contour plot lines are set to the same linear scale.

Equations (10)

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i t Ψ ( r , t ) = [ 1 2 ( p + 1 c A ( r , t ) ) 2 + V ( r ) ] Ψ ( r , t ) ,
V ( x , y ) = 1 ( x 2 + y 2 + a ) 1 2 ,
E y ( x , t ) = E 0 f ( x , t ) sin ( kx ω L t ) ,
A y ( x , t ) = c 0 t E y ( x , t ) dt .
i t Ψ ( x , y , t ) = [ 1 2 ( 2 x 2 + 2 y 2 ) i c A y ( x , t ) y + 1 2 c 2 A y 2 ( x , t ) + V ( x , y ) ] Ψ ( x , y , t ) .
Ψ ( x , y , t + Δ t ) = exp [ i Δ t H ̂ ( t + Δ t 2 ) ] Ψ ( x , y , t )
exp [ i Δ t 2 H ̂ x ( t + Δ t 2 ) ] exp [ i Δ t H ̂ y ( t + Δ t 2 ) ]
× exp [ i Δ t 2 H ̂ x ( t + Δ t 2 ) ] Ψ ( x , y , t ) ,
H ̂ x ( t ) = 1 2 2 x 2 + 1 2 V ( x , y ) + 1 2 c 2 A y 2 ( x , t ) ,
H ̂ y ( t ) = 1 2 2 y 2 + 1 2 V ( x , y ) i c A y ( x , t ) y .

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