Abstract
The incessant advance of laser technology has pushed the peak electric-field strengths produced by lasers to well above the atomic unit, 5.14 109 V /cm [1], and there appears to be no limit in sight. Under these circumstances, the amplitude of the oscillating field is many times larger than the average electrostatic field experienced by an electron in the ground state of the hydrogen atom. Obviously, this changes drastically the laser-atom interaction phenomena as known at low intensities, and in particular ionization [2]. Indeed, in superintense fields ionization acquires a striking feature, sometimes termed as “counter-intuitive”: stabilization. In the following we present an overview of ultra-strong field stabilization, theoretical and experimental [3], [4]. In this Introduction, we start by placing the phenomenon into perspective.
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References
For linear polarization, this corresponds to the atomic unit of intensity, 3.51 106 W / cm2.
For an overview of intense-field laser-atom interactions, and in particular ionization, see: (a) the volume Atoms in Intense Laser Fields, Ed. M. Gavrila (Academic Press, 1992), and the review articles:
Atoms in Ultra-intense Laser Fields, by K. Burnett, V.C. Reed, and P.L. Knight, J.Phys. B 26, 561 (1993)
Ionization Dynamics in Strong Laser Fields, by L.F. DiMauro and P. Agostini, Adv.At.Mol. Opt.Phys. 35, 79 (1995).
Other types of stabilization have been considered in the literature, e.g see the discussion by H.G. Muller in Superintense Laser-Atom Physics IV, Eds. H.G. Muller and M. Fedorov (Kluwer Acad.Publ., 1996), p.1. We shall limit ourselves here to ultra-strong field stabilization. No reference will be made to the classical form of stabilization.
An overview of superintense-field stabilization, at a more general level, was given by J. H. Eberly and K.C. Kulander, Science 262, 1229 (1993).
N.B. Delone and G.S. Voronov, JETP Letters 1, 66 (1965)
J.L. Hall, E.J. Robinson, and L.M. Branscomb, Phys.Rev.Lett. 14, 1013 (1965).
P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N.K. Rahman, Phys.Rev. Lett. 42, 1127(1979).
M. Göppert-Mayer, Ann.Phys.(Leipzig) 9, 273 (1931).
P. Kruit, J. Kimman, H.G, Müller, and M.J. van der Wiel, Phys.Rev.A 28, 248 (1983).
(a) W. Pauli and M. Fierz, Nuovo Cimento 15, 167 (1938)
(b) H. A. Kramers, see Collected Scientific Papers (North Holland, Amsterdam, 1956), p.866
(c) W.C. Henneberger, Phys.Rev.Lett. 21, 838 (1968)
(d) F. H. Faisal, J.Phys.B 6, L89 (1973).
Historically, the method of complex eigenvalues (in the absence of the external periodic field) was invented by J. J. Thomson [Proc.London. Math.Soc.15 (1),197 (1884)]
in the context of quantum mechanics it was introduced by G. Gamow [Zeits.f. Phys. 51, 204 (1928)].
The Floquet theory for differential equations originates with G. Floquet, Ann.Ec.Norm.Suppl. 12, 47 (1883).
In the adiabatic case, the exponential decay law is expressed as: \( \left( {N\,/\;{N_o}} \right) = \exp \left( { - \smallint \Gamma \left( {{t^{'}}} \right)d{t^{'}}} \right) \); see M. H. Mittleman and A. Tip, J.Phys.A 17, 571 (1984).
M. Dörr, O. Latinne, and C.J. Joachain [Phys.Rev.A 52, 4289 (1995)], have shown, by comparing with wave-packet calculations, that the Floquet description can give rather accurate values for the ionization probabilities.
J.C. Wells, I. Simbotin, and M. Gavrila, submitted for publication.
Shih-I Chu and W. P. Reinhardt, Phys.Rev.Lett 39, 1195 (1977),
see also Shih-I Chu, Adv.At.Mol.Phys. 21, 197 (1985)
Shih-I Chu Adv. Chem. Phys. 73, 739 (1989).
N. Moiseyev and H.J. Korsch, Phys.Rev.A 41, 498 (1990)
N. Ben-Tal, N. Moiseyev, and R. Kosloff, Phys.Rev.A 48, 2437 (1993).
R. M. Potvliege and R. Shakeshaft, Phys.Rev.A 40, 3061 (1989)
R. M. Potvliege and R. Shakeshaft, Phys.Rev.A 41, 1609 (1990), see also [For an overview of intense-field laser-atom interactions, and in particular ionization, see: (a) the volume Atoms in Intense Laser Fields, Ed. M. Gavrila (Academic Press, 1992), and the review articles:], p.373.
L. Dimou and F. H. M. Faisal, Phys.Rev.Lett. 59, 872 (1987)
F.H.M. Faisal, L. Dimou, H.J. Stiemke, and M. Nurhuda, J. Nonlin.Opt.Phys.Mat. 4, 701 (1995).
P. Marte and P. Zoller, Phys.Rev.A 43, 1512 (1991).
P. G. Burke, P. Francken, and C. J. Joachain, Europhys.Lett. 13, 617 (1990)
P. G. Burke, P. Francken, and C. J. Joachain J.Phys.B 24, 761 (1991)
M. Dörr, M. Terao-Dunseath, J. Purvis, C.J. Noble, P.G. Burke, and C.J. Joachain, J.Phys.B 25, 2809 (1992).
HFFT for scattering: M. Gavrila and J. Z. Kaminski, Phys. Rev. Lett. 52, 614 (1984).
HFFT for ionization: M. Gavrila, in Fundamentals of Laser Interactions, Editor F. Ehlotzky (Lecture Notes in Physics, vol. 229; Springer, Berlin, 1985), p. 3.
A systematic account of the HFFT for the ionization of one-electron atoms was given in by the author in Atomic Structure and Decay in Hygh-frequency Fields, see [the volume Atoms in Intense Laser Fields, Ed. M. Gavrila (Academic Press, 1992), and the review articles:] p.435.
(a) J. I. Gersten and M. H. Mittleman, J.Phys.B 9, 2561 (1976).
(b) The papers by J. Gersten and M. Mittleman [Phys.Rev.A 10, 74 (1974); 11, 1103 (1975)], are not related to adiabatic stabilization, as they are specifically dealing with low frequencies. They lead to a different dependence of Ton I and co than our equations [e.g., Eq.(16) for circular polarization].
K. Kulander Phys.Rev.A 35, 445 (1987)
K. Kulander Phys.Rev.A 36, 2726 (1987)
K. Kulander Phys.Rev.A38, 778 (1988); see also [1], p.247.
P. DeVries, J.Opt.Soc.Am.B 7, 517 (1990).
K.J. LaGattuta, J.Opt.Soc.Am.B 7, 639 (1990)
K.J. LaGattuta Phys.Rev.A 43, 5157 (1991).
M.S. Pindzola, G.J. Bottrell, and C. Bottcher, J.Opt.Soc.B 7, 659 (1990).
M. Pont, D. Proulx, and R. Shakeshaft, Phys.Rev.A 44, 4486 (1991).
X. Tang, H. Rudolph, and P. Lambropoulos, Phys.Rev.Lett. 65, 3269 (1990).
M. Gajda, B. Piraux, and K. Rzazewski, Phys.Rev.A 50, 2528 (1994).
M. Horbatsch, Phys.Rev.A 44, R5346 (1991)
M. Horbatsch J.Phys.B 24, 4919 (1991)
M. Horbatsch J.Phys.B 25, 1745 (1992).
J. Javanainen, J.H. Eberly, and Q.Su, Phys.Rev.A 38, 3430 (1988)
Q. Su, J. H. Eberly, and J. Javanainen, Phys.Rev. Lett. 64, 862 (1990)
Q. Su and J.H. Eberly, J. Opt.Soc.Am.B 7, 564 (1990)
C.K. Law, Q. Su, and J.H. Eberly, Phys. Rev.A 44, 7844 (1991)
J.H. Eberly, R. Grobe, C. K. Law, and Q. Su, in [Atoms in Ultra-intense Laser Fields, , J.Phys. B 26, 561 (1993)], p.301,
[ An overview of superintense-field stabilization, at a more general level, was given by J. H. Eberly and K.C. Kulander, Science 262, 1229 (1993).].
V. Reed and K. Burnett, Phys.Rev.A 42, 3152 (1990)
V. C. Reed, P. L. Knight, and K. Burnett, Phys.Rev.Lett. 6, 1415 (1991)
R.M.A. Vivirito and P.L. Knight, J.Phys.B 28, 4357 (1995).
Adiabatic stabilization: (a) Ground state of H: M. Pont and M. Gavrila, Phys.Rev.Lett. 65, 2362 (1990); presented at the SILAP I conference, Rochester, NY, June 1989.
Rydberg states: R. J. Vos and M. Gavrila, Phys.Rev.Lett. 68, 170 (1992).
Adiabatic stabilization calculations for the ground state of H, according to method:
(a) Sturmian: M. Dörr, R. M. Potvliege, D. Proulx, and R. Shakeshaft, Phys. Rev.A 43, 3729 (1991).
Close-coupling: P. Marte and P. Zoller, Phys.Rev.Lett. 59, 872 (1987)
L. Dimou and F.H. Faisal, Phys.Rev.A 46, 4442 (1992)
see also R. M. Potvliege and R. Shakeshaft, Phys.Rev.A 41, 1609 (1990)
R-matrix: M. Dörr, P.G. Burke, C. J. Joachain, C. J. Noble, J. Purvis, and M. Terao-Dunseath, J.Phys.B 26, L275 (1993).
K.C. Kulander, K.J. Schafer, and J.L. Krause, Phys.Rev.Lett. 66, 2601 (1991)
see also Atoms in Ultra-intense Laser Fields, by K. Burnett, V.C. Reed, and P.L. Knight, J.Phys. B 26, (1993)], p.247
J. H. Eberly and K.C. Kulander, Science 262, 1229 (1993).
M.P. de Boer, J.H. Hoogenraad, R.B. Vrijen, R.C. Constantinescu, L. D. Noordam, and H.G. Muller, Phys.Rev.Lett. 71, 3263 (1993)
M.P. de Boer, J.H. Hoogenraad, R.B. Vrijen, R.C. Constantinescu, L. D. Noordam, and H.G. Muller Phys.Rev.A 50, 4085 (1994)
N. J. van Druten, R. Constantinescu, J. M. Schins, H. Nieuwenhuize, and H.G. Muller, Phys.Rev.A 55, 622 (1997).
The condition a a2 0 ω>> 1, mentioned in [M. Gavrila and J. Z. Kaminski, Phys. Rev. Lett. 52, 614 (1984).] and reproduced by others
(e.g., in [L.F. DiMauro and P. Agostini, Adv.At.Mol. Opt.Phys. 35, 79 (1995).]), has proven to be superfluous.
M. Gavrila and J. Shertzer, Phys. Rev.A 53, 3431 (1996).
The methods applied were: diagonalization in a multicenter Gaussian basis set [. Pont, N. Walet, and M. Gavrila, Phys.Rev.A 41, 477 (1990).]
two different finite element programs[Close-coupling: P. Marte and P. Zoller, Phys.Rev.Lett. 59, 872 (1987)]
[M. Gavrila and J. Shertzer, Phys. Rev.A 53, 3431 (1996).]
diagonalization in a Slater-type basis set in spheroidal coordinates [H.G. Muller and M. Gavrila, Phys.Rev.Lett. 71, 1693 (1993).].
M. Pont, N. Walet, and M. Gavrila, Phys.Rev.A 41, 477 (1990).
M. Marinescu and M. Gavrila, Phys.Rev.A 53, 2513 (1996).
From now on we shall be using atomic units, unless otherwise specified.
Note that the stabilization branches of the curves have barely perceptible undulations. However, stabilization calculations done for 1D atomic models with potentials of short-range [G. Yao and Shih-I Chu, Phys.Rev.A 45, 6735 (1992)],
or long-range [M. Marinescu and M. Gavrila, Phys.Rev.A 53, 2513 (1996)]
display a quite prominent superimposed oscillatory behavior. Similar oscillations appear also for the ionization probabilities of 1D models calculated from WPD see Su et al.[Q.Su, B.P. Irving, C.W. Johnson, and J.H. Eberly, J.Phys.B 29, 5755 (1996).]. It was concluded, however, by Marinescu and Gavrila that this is a specific feature of 1D models.
Moon-Gu Baik, M. Pont, and R. Shakeshaft, PRA 51, 3117 (1995).
R.M. Potvliege and P.H.G. Smith, Phys.Rev.A.48, R46 (1993).
A. Scrinzi, N. Elander, and B. Piraux, Phys.Rev.A 48, R2527 (1993).
A. Buchleitner and D. Delande, Phys.Rev.Lett. 71, 3633 (1993).
L. Dimou and F.H. Faisal, Phys.Rev.A 49, 4564 (1994)
see also Faisal et al. [F.H.M. Faisal, L. Dimou, H.J. Stiemke, and M. Nurhuda, J. Nonlin.Opt.Phys.Mat. 4, 701 (1995).].
M. H. Mittleman, Phys.Rev.A 42, 5645 (1990).
H.G. Muller and M. Gavrila, Phys.Rev.Lett. 71, 1693 (1993).
E.van Duijn, M. Gavrila, and H.G. Muller, Phys.Rev.Lett. 77, 3759 (1996).
The correct way of deriving the ionization probability PE(τ) from the wave function Ψ in the oscillating frame [solution of Eq(3)], was given by Vivirito and Knight, [R.M.A. Vivirito and P.L. Knight, J.Phys.B 28, 4357 (1995)].
J.C. Wells and M. Gavrila, in preparation.
Grobe and M.V. Fedorov, Phys.Rev.Lett. 68, 2592 (1992)
Grobe and M.V. Fedorov J.Phys.B 26, 1181 (1993).
K. Sonnenmoser, J.Phys.B 26, 457 (1993).
Q.Su, B.P. Irving, C.W. Johnson, and J.H. Eberly, J.Phys.B 29, 5755 (1996).
T. Ménis, R. Taïeb, V. Véniard, and A. Maquet, J.Phys.B 25, L263 (1992).
Although the global rate has the shape of an adiabatic rate curve (e.g., our Fig.4), it should be remembered, however, that it represents the decay of a coherent superposition of dressed states.
M. Pont and R. Shakeshaft, Phys.Rev.A 44, R4110 (1991).
E. Huens and B. Piraux, Phys.Rev.A 47, 1568 (1993).
We mention in this respect the free-electron laser, now under construction at Brookhaven National Laboratory, with projected photon energy in the range 10–25 eV, intensity in the range 1–100 a.u., and pulse duration ~ 5 fs.
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Gavrila, M. (1997). Stabilization of Atoms by Ultra-Strong Laser Fields. In: Burke, P.G., Joachain, C.J. (eds) Photon and Electron Collisions with Atoms and Molecules. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5917-7_11
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