Multiphoton Spectroscopy of Atoms and Nuclei in a Laser Field

Глушков, А. В.

doi:10.1016/bs.aiq.2018.06.004

Cited by 24 publications

(5 citation statements)

References 150 publications

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“…where Φ (0) (r, t) is the slow-varying zero-order adiabatic approximation for Φ(r, t), and Φ (1) (r, t) is the 'rapid' part of Φ(r, t), representing the so-called 'rescattering' correction to Φ (0) (r, t) [32,43]. To separate the 'slow' and 'rapid' parts of Φ(r, t), we deform the integration path in (9) to the contours utilized for the Green's function in equation ( 14). Moreover, for that part of contour integral, whose major contribution is given by the vicinity of t ′ = t, we expand the exponent of Green's function up to the term (t − t ′ ) 3 .…”

Section: Revision Of the Adiabatic Approach Drawback For Laser-decayi...mentioning

confidence: 99%

“…Nonlinear laser-matter interaction is of great interest for the past three decades. Over this period, a large amount of theoretical research on nonlinear phenomena in an intense laser field were developed, which formed a theoretical background with further practical application in the field of the nonlinear ionization, harmonic generation, and formation of attosecond science [1][2][3][4][5][6][7][8][9]. These solid theories include: R-matrix [3] and S-matrix [5,10] methods, the density-matrix formalism [11], quasistationary quasienergy state method [12], generalized Floquet formalisms [13], the (t, t ′ )-method [14,15], etc.…”

Section: Introductionmentioning

confidence: 99%

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On the adiabatic approximation for the laser-dressed atom

Flegel,

Frolov

2023

J. Phys. A: Math. Theor.

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The adiabatic approximation is analyzed for non-perturbative interaction of an atomic system with an intense low-frequency laser field. We find that the well-known adiabatic ansatz, which consists in using the DC-based Green's and wave functions for an atom in the instantaneous AC field to calculate transition matrix elements, exceeds the level of accuracy of the adiabatic approximation and requires further theoretical revision. It is shown that the non-analyticity in the field strength of the DC-based Green's and wave functions leads to violation of the adiabaticity constrains and the appearance of rapidly oscillating components in the transition matrix elements. We suggest an improved adiabatic approach utilizing the analytical parts in the DC-based Green's and wave functions. We illustrate our revised adiabatic approach for analysis of atomic polarizability in two-component laser field with an intense infrared and perturbative extreme ultraviolet components within the zero-range potential model.

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Section: Revision Of the Adiabatic Approach Drawback For Laser-decayi...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the adiabatic approximation for the laser-dressed atom

Flegel,

Frolov

2023

J. Phys. A: Math. Theor.

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“…A simple analysis shows that physically correct solutions of the related quantum-mechanical equations correspond to ℓ0 for electrons and ℓ0 for positrons. The obtained connection between relativistic QM in the FW representation and the paraxial equations can be applied to a wide class of problems connected with relativistic electron (positron, muon) beams in different external fields [50][51][52][53][54][55][56] (e.g. crossed magnetic and electric fields).…”

Section: • ()mentioning

confidence: 99%

Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field

Zou

Zhang

Silenko

2020

J. Phys. G: Nucl. Part. Phys.

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A connection between relativistic quantum mechanics in the Foldy-Wouthuysen representation and the paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined.The obtained wave function contains the Gouy phase and significantly approaches to the paraxial wave function for a free electron. * zoulp@impcas.ac.cn †

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“…There are sufficiently great number of different methods and algorithms in the modern theory of chaos. The starting approach is using the methods of qualitative theory of differential equations by Arnold et al [8].The most popular approach includes the advanced nonlinear analysis and a chaos theory such as the Lyapunov's exponents analysis [9,10], false nearest neighbour algorithm [11], correlation integral analysis [12], non-linear prediction schemes and surrogate data method [13], mutual information approach [14], fractal and multifractal analysis [15], spectral methods [16], the Green's functions approaches [17], and many others [18,19].…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of the hydrogen atom in a space-dependent electric field

Wang¹,

Chu²,

Gang³

2020

Phys. Scr.

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We study the chaotic dynamics of the hydrogen atom in a space-dependent gradient electric field. We use the Poincaré surface of section (PSS) and the Lyapunov exponents to characterize chaotic dynamics. The dynamical character of this system is studied and the regular-chaos transition is found when the system passes from the non-integrable case to the integrable one. It is found that for a given gradient electric field, this system has a critical scaled energy ε s . When the scaled energy ε ≤ ε s , the structure of the whole phase space is nearly regular. However, as the scaled energy ε > ε s , chaotic structures appear in the PSS. As the scaled energy is very large, the whole PSS is chaotic. The chaotic property of this system is further verified by the positive value of the maximum Lyapunov exponent. In addition, we show that with increasing electric field gradient the dynamics of this system becomes increasingly chaotic. Our work provides an example to study the chaotic dynamics of the hydrogen atom by using the space-dependent electric field. We hope that our results can guide the future experimental researches about the dynamical property of the atoms or molecules in the non-uniform external fields.

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Multiphoton Spectroscopy of Atoms and Nuclei in a Laser Field

Cited by 24 publications

References 150 publications

On the adiabatic approximation for the laser-dressed atom

On the adiabatic approximation for the laser-dressed atom

Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field

Chaotic dynamics of the hydrogen atom in a space-dependent electric field

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