Microwave multiphoton ionization and excitation of helium Rydberg atoms

Water, Willem van de; Yoakum, S.; Leeuwen, Ton van; Sauer, B. E.; Moorman, L.; Galvez, Enrique J.; Mariani, David; Koch, Peter

doi:10.1103/physreva.42.572

Cited by 38 publications

(21 citation statements)

References 35 publications

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“…Since we must in principle include all possible Fourier components, this matrix is of infinite dimension. In practice, H F can be approximated as a finite matrix with a limited number of "sidebands" [22] and diagonalized using standard numerical methods [23]. The replacement of an infinite matrix representation of H F by a finite one is a controlled approximation -the size of the basis set can be varied and the convergence of the eigenvalues and eigenvectors checked.…”

Section: B Floquet Hamiltonianmentioning

confidence: 99%

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

Martin

2015

Phys. Rev. A

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Non-resonant dressing fields can make the transition frequency between two circular Rydberg states insensitive to second order variations in the dc electric field. Perturbation theory can be used to establish the required dressing field amplitude and frequency. The same perturbative approach may be used to understand removal of the first order dependence of the transition frequency on electric field about a bias dc electric field [Hyafil et al. Phys. Rev. Lett. 93, 103001 (2004)]. The directional alignment of the dressing and dc fields is critical in determining the electric field sensitivity of the dressed transition frequencies. This sensitivity is significantly larger for circular Rydberg states compared to low-angular momentum Rydberg states of Rb.

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Section: B Floquet Hamiltonianmentioning

confidence: 99%

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

Martin

2015

Phys. Rev. A

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“…[183][184][185][186][187][188] Study of the Rydberg atom has seen an upsurge of interest. [183] Depending on the amplitude and frequency of external field, these Rydberg atoms exhibit interesting features.…”

Section: Reactivity Dynamics Of Atoms In Ground and Excited Statesmentioning

confidence: 99%

“…[183] Depending on the amplitude and frequency of external field, these Rydberg atoms exhibit interesting features. Experimentalists showed [184][185][186] that ionization of the atom takes place only when threshold field amplitude or field strength is reached. The ionization of hydrogen atom increases monotonically and drastically once the threshold is obtained.…”

Section: Reactivity Dynamics Of Atoms In Ground and Excited Statesmentioning

confidence: 99%

Density dynamics in some quantum systems

Khatua

Chakraborty

Chattaraj

2013

Int J of Quantum Chemistry

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The quantum domain behavior of classical nonintegrable systems is well-understood by the implementation of quantum fluid dynamics and quantum theory of motion. These approaches properly explain the quantum analogs of the classical Kolmogorov-Arnold-Moser type transitions from regular to chaotic domain in different anharmonic oscillators. Field-induced tunneling and chaotic ionization in Rydberg atoms are also analyzed with the help of these theories.Quantum fluid density functional theory may be used to understand different time-dependent processes like ion-atom/ molecule collisions, atom-field interactions, and so forth. Regioselectivity as well as confined atomic/molecular systems and their reactivity dynamics have also been explained.

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“…Sanders and Jensen [4] have studied the chaotic ionization of hydrogen and helium using classical mechanics [4]. When the hydrogen atom is promoted to a highly excited state it gets ionized in case the field intensity is above some threshold value and the ionization probability depends on the field intensity [4,6,7]. Standard diagnostics used for the present study include electronegativity ( χ ), hardness (η ), polarizability (α ), phase -volume (V ps ), electrophilicity index (W), nucleophilicity index (1/W), Shannon entropy (S), quantum Lyapunov exponent (Λ) and Kolmogorov -Sinai entropy (H) defined in terms of the distance between two initially close Bohmian trajectories.…”

Section: Introductionmentioning

confidence: 99%

“…The chaotic ionization of hydrogen atoms [1][2][3] in highly excited states by microwave fields has become an important area of research for both experimentalists [1][2][3][4][5][6][7] and theoreticians [4]. In 1974…”

Section: Introductionmentioning

confidence: 99%

Chemical Reactivity Dynamics and Quantum Chaos in Highly Excited Hydrogen Atoms in an External Field: A Quantum Potential Approach

Chattaraj

Maiti

2002

IJMS

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Dynamical behavior of chemical reactivity indices like electronegativity, hardness, polarizability, electrophilicity and nucleophilicity indices is studied within a quantum fluid density functional framework for the interactions of a hydrogen atom in its ground electronic state (n = 1) and an excited electronic state (n = 20) with monochromatic and bichromatic laser pulses. Time dependent analogues of various electronic structure principles like the principles of electronegativity equalization, maximum hardness, minimum polarizability and maximum entropy have been found to be operative. Insights into the variation of intensities of the generated higher order harmonics on the color of the external laser field are obtained. The quantum signature of chaos in hydrogen atom has been studied using a quantum theory of motion and quantum fluid dynamics. A hydrogen atom in the electronic ground state (n = 1) and in an excited electronic state ( n = 20) behaves differently when placed in external oscillating monochromatic and bichromatic electric fields. Temporal evolutions of Shannon entropy, quantum Lyapunov exponent and Kolmogorov -Sinai entropy defined in terms of the distance between two initially close Bohmian trajectories for these two cases show marked differences. It appears that a larger uncertainty product and a smaller hardness value signal a chaotic behavior.

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Microwave multiphoton ionization and excitation of helium Rydberg atoms

Cited by 38 publications

References 35 publications

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

Reduction of the dc-electric-field sensitivity of circular Rydberg states using nonresonant dressing fields

Density dynamics in some quantum systems

Chemical Reactivity Dynamics and Quantum Chaos in Highly Excited Hydrogen Atoms in an External Field: A Quantum Potential Approach

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