Beyond (1D + time) dynamics in the microwave ionization of excited H atoms: surprises from experiments with collinear static and linearly polarized electric fields

Koch, Peter; Galvez, Enrique J.; Zelazny, S. A.

doi:10.1016/s0167-2789(98)00222-x

Cited by 15 publications

(37 citation statements)

References 108 publications

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“…Indeed, it was shown early on that the estimates of ionization thresholds for the 1-dof model can be improved by a multidimensional model [82] which maps the entire problem onto two interacting oscillators. [84] show ionization yield curves which are rich with regular oscillatory features and signatures of resonance transitions in the form of sharp dips. Since the strong ¢elds in this 2 1/2 dof system cause standard time-dependent perturbation theory to fail, an approach is needed which sorts out the many transitions that arise from the interplay of the strong static ¢elds and the dressed states created by the strong microwave ¢eld.…”

Section: Microwave Ionization In More Than Two Degrees Of Freedommentioning

confidence: 99%

Rydberg Electrons in Crossed Fields: A Paradigm for Nonlinear Dynamics Beyond Two Degrees of Freedom

Uzer

2001

Physica Scripta

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Section: Microwave Ionization In More Than Two Degrees Of Freedommentioning

confidence: 99%

Rydberg Electrons in Crossed Fields: A Paradigm for Nonlinear Dynamics Beyond Two Degrees of Freedom

Uzer

2001

Physica Scripta

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“…Multiphoton processes involving atomic and molecular electrons have been widely studied both in experiments and in different theoretical treatments, some of which are directly related to questions of quantum chaos [1][2][3]. The goal of this work is to study dynamical features of multiphoton transitions in the three-dimensional hydrogenlike Rydberg atom in a semiclassical radiation field.…”

Section: Introductionmentioning

confidence: 99%

“…The problem of intrashell dynamics has attracted attention since experiments in Ref. [2] suggest that intrashell dynamics is responsible for enhancement of ionization probability; in Ref. [7], intrashell dynamics is treated as two two-level problems.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical analysis of long-wavelength multiphoton processes: The Rydberg atom

Vela-Arevalo

Fox

2004

Phys. Rev. A

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We study the problem of multiphoton processes for intense, long-wavelength irradiation of atomic and molecular electrons. An exact, nonperturbative approach is applied to the standard vector potential coupling Hamiltonian for a three-dimensional hydrogenlike atom in a microwave field treated semiclassically. Multiphoton probability exchange is calculated in both the velocity and the length gauges, by applying the Goeppert-Mayer gauge transformation. The expansion of the time-dependent solution in terms of Floquet states delineates the mechanism of multiphoton transitions. A detailed analysis of the Floquet states and quasienergies as functions of the field parameters allows us to describe the relation between avoided quasienergy crossings and multiphoton probability exchange. We formulate analytical expressions for the variation of quasienergies and Floquet states with respect to the field parameters, and demonstrate that avoided quasienergy crossings are accompanied by dramatic changes in the Floquet states. Analysis of the Floquet states, for small values of the field strength, yields selection rules for the avoided quasienergy crossings. In the case of strong fields, the simultaneous choice of frequency and strength of the field producing an avoided crossing results in improved ionization probability.

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“…This was observed and analyzed in relation to microwave ionization of hydrogen atoms in Stark states of high principal quantum numbers n [17,18]. In the experiments a constant electric field was applied in the direction of the linearly polarized microwave field and multiphoton resonances were seen to disappear when the strength of the microwave field relative to the Stark splitting of the shell was equal to specific values given by the nodes of certain Bessel functions [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Suppression of multiphoton intrashell resonances in Li Rydberg atoms

et al. 2011

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Multiphoton intrashell transitions in strongly driven Li (n = 25) Rydberg atoms are studied experimentally. Orthogonal dc electric and magnetic fields lift the degeneracy of the n shell and define the eccentricity e of the initial coherent elliptic states, which are formed by laser excitation and subsequent adiabatic transformation. The intrashell transitions are driven by a time-harmonic electric field linearly polarized parallel to the major axis of the ellipse. N -photon resonances with N = 1 − 9 are studied as a function of e. All resonances with N 3 are suppressed at certain e values in between 0 and 1. A similar system was analyzed by Yabuzaki et al. [Phys. Rev. A 10, 1955(1974] who found a simple pattern of suppressions that applies also for the present experiments. The results of these experimentally confirm that each time N is increased by two, an additional suppression is observed.

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Beyond (1D + time) dynamics in the microwave ionization of excited H atoms: surprises from experiments with collinear static and linearly polarized electric fields

Cited by 15 publications

References 108 publications

Rydberg Electrons in Crossed Fields: A Paradigm for Nonlinear Dynamics Beyond Two Degrees of Freedom

Rydberg Electrons in Crossed Fields: A Paradigm for Nonlinear Dynamics Beyond Two Degrees of Freedom

Semiclassical analysis of long-wavelength multiphoton processes: The Rydberg atom

Suppression of multiphoton intrashell resonances in Li Rydberg atoms

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