Analysis of light-induced diffusion ionization of a three-dimensional hydrogen atom based on the Floquet technique and split-operator method

Efimov, Dmitry K.; Безуглов, Н. Н.; Klyucharev, A. N.; Gnedin, Yu. N.; Miculis, K.; Экерс, А.

doi:10.1134/s0030400x1407008x

Cited by 12 publications

(8 citation statements)

References 13 publications

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“…Such tools include symplectic integrators of motion equations (Hairer, 1999) for various physical problems, including complex integro-differential tasks related to the radiation energy transfer processes in optically dense media (Kazansky et al, 2001) with a multi-level structure of atomic quantum states (Sydoryk et al, 2008;Kirova et al, 2017). A numeric algorithm of advanced stability for analyzing stochastic migration effects was suggested in publication Efimov et al (2014). This algorithm is based on a combination of a symplectic integrator variety, also known as the split propagation technique, and Floquet technique (Chu & Telnov, 2004).…”

Section: The Case Of Stochastic Motion In a Microwave Fieldmentioning

confidence: 99%

“…This algorithm is based on a combination of a symplectic integrator variety, also known as the split propagation technique, and Floquet technique (Chu & Telnov, 2004). The data obtained in Efimov et al (2014) reflect invalidity of the approximation concerning invariance of angular momentum L. As an example, motion paths and temporal evolution of orbital momentum under the conditions of diffusion ionization manifestation are shown in Fig. 4.…”

Section: The Case Of Stochastic Motion In a Microwave Fieldmentioning

confidence: 99%

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Autoionization widths of cold Rydberg atomic complexes

Dimitrijević¹,

Srećković²,

Zalam³

et al. 2020

caosp

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We have considered two types of interactions between particles resulting in autoionization of the intermediate Rydberg collisional complex. The first type is caused by the charge exchange processes inside the ionic core of the complex and is responsible for the formation of the final associative ionization channel due to the departure of a Rydberg electron (RE) of the complex to the energy continuum. We have investigated the evolution of the orbital momentum L of RE and discovered a non-trivial time dependence of L, demonstrating a contrasting oscillatory structure in both direction orientation and its absolute value. The second type of interaction, dipole-dipole interaction, dominates in cold highly excited gaseous media and leads to Penning ionization of various pairs of Rydberg atoms. We have found the optimal quantum configurations of atomic pairs, which intensify the PI rates by several orders of magnitude, and become important suppliers of charged particles upon the evolution of Rydberg gas into cold plasma.

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Section: The Case Of Stochastic Motion In a Microwave Fieldmentioning

confidence: 99%

Section: The Case Of Stochastic Motion In a Microwave Fieldmentioning

confidence: 99%

Autoionization widths of cold Rydberg atomic complexes

Dimitrijević¹,

Srećković²,

Zalam³

et al. 2020

caosp

Self Cite

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“…In a series of subsequent works [22,[52][53][54], data on the formation of dynamic nonlinear resonances with a transition to the stage of global chaos for isolated atoms in an external linearly polarized electric field E(t) = E 0 cos(ω L t + θ)/2 were refined. We note that, the widths of the dynamic resonances (10), as well as the effects of stochastic dynamics, are directly related to the matrix elements of the perturbation operators.…”

Section: Conception Of Diffusional Ionizationmentioning

confidence: 99%

“…Analysis of time processes with the strong stochastization of trajectories requires the use of a stable numerical calculation scheme. The corresponding algorithm, which is based on the Floquet technique [55] and geometric integration methods [56,57], was proposed in [54] to find the parameters of atomic systems that were subjected to external periodic fields.…”

Section: Diffusional Ionization Of Hydrogen Atom In External Fieldmentioning

confidence: 99%

Dynamic Instability of Rydberg Atomic Complexes

Dimitrijević

Srećković

Zalam

et al. 2019

Atoms

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Atoms and molecules in highly excited (Rydberg) states have a number of unique characteristics due to the strong dependence of their properties on the values of principal quantum numbers. The paper discusses the results of an investigation of collisional Rydberg complexes specific features, resulting in the development of dynamic chaos and the accompanying diffusion autoionization processes. It is shown (experiment and theory) that, in subthermal low energies, the global chaotic regime that evolved in quasimolecular systems leads to significant changes in the Rydberg gases radiation/ionization kinetics. The effect of Förster resonance on the width of the fluorescence spectra and stochastic ionization processes in Rydberg systems is also discussed.

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“…The indices g k , i k , and f k run over all the HF and Zeeman sublevels of the ground, intermediate, and final states, respectively. The solution of this system of equations can be readily obtained numerically by applying the split operator technique [32][33][34].…”

Section: A Numerical Calculationsmentioning

confidence: 99%

Hyperfine interaction in the Autler-Townes effect: The formation of bright, dark, and chameleon states

et al. 2017

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This paper is devoted to clarifying the implications of hyperfine (HF) interaction in the formation of adiabatic (i.e., "laser-dressed") states and their expression in the Autler-Townes (AT) spectra. We first use the Morris-Shore model [J. R. Morris and B. W. Shore, Phys. Rev. A 27, 906 (1983)] to illustrate how bright and dark states are formed in a simple reference system where closely spaced energy levels are coupled to a single state with a strong laser field with the respective Rabi frequency S . We then expand the simulations to realistic hyperfine level systems in Na atoms for a more general case when non-negligible HF interaction can be treated as a perturbation in the total system Hamiltonian. A numerical analysis of the adiabatic states that are formed by coupling of the 3p 3/2 and 4d 5/2 states by the strong laser field and probed by a weak laser field on the 3s 1/2 − 3p 3/2 transition yielded two important conclusions. Firstly, the perturbation introduced by the HF interaction leads to the observation of what we term "chameleon" states-states that change their appearance in the AT spectrum, behaving as bright states at small to moderate S , and fading from the spectrum similarly to dark states when S is much larger than the HF splitting of the 3p 3/2 state. Secondly, excitation by the probe field from two different HF levels of the ground state allows one to address orthogonal sets of adiabatic states; this enables, with appropriate choice of S and the involved quantum states, a selective excitation of otherwise unresolved hyperfine levels in excited electronic states.

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Analysis of light-induced diffusion ionization of a three-dimensional hydrogen atom based on the Floquet technique and split-operator method

Cited by 12 publications

References 13 publications

Autoionization widths of cold Rydberg atomic complexes

Autoionization widths of cold Rydberg atomic complexes

Dynamic Instability of Rydberg Atomic Complexes

Hyperfine interaction in the Autler-Townes effect: The formation of bright, dark, and chameleon states

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