Attosecond Dynamics of Photoexcitation of the Hydrogen Atom by Ultrashort Laser Pulses

Astapenko, V. A.

doi:10.1134/s1063776119120124

Cited by 13 publications

(8 citation statements)

References 12 publications

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“…Here is the spectral profile of cross section with central frequency w 0 and spectral width g. Let consider two opposite limits of the excitation probability (3). The first one is monochromatic limit when (long pulses) and then the following relation is valid (8) wc is carrier frequency of the pulse. Substituting ( 8) in (3) we obtain…”

Section: Limit Casesmentioning

confidence: 99%

“Middle way” in the description of ultrashort electromagnetic interactions: between Fermi’s golden rule and the numerical solution of the Schrödinger equation

Astapenko,

Khramov,

Bergaliyev

2024

J. Phys.: Conf. Ser.

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A simple efficient approach describing the interaction of various quantum targets with short electromagnetic (EM) pulses firstly proposed in [1] is reviewed. This approach is based on the expression for the photoprocess probability in terms of the cross section and the Fourier transform of the EM pulse. Our method makes it possible to take into account the internal dynamics of the target and the influence of the pulse parameters in a simple way. The proposed approach is used both for the probability for the entire pulse duration, and for its dependence on the current time. In addition, the developed method is applied to generalize the simulation of the population kinetics of a quantum system to take into account the dependence of the photoprocess rate on time. It is also shown that our expression for the probability of excitation of a micro-target corresponds to the formula describing the energy loss of a non-monochromatic field in a dispersive medium and can be generalized on other EM processes.

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Section: Limit Casesmentioning

confidence: 99%

“Middle way” in the description of ultrashort electromagnetic interactions: between Fermi’s golden rule and the numerical solution of the Schrödinger equation

Astapenko,

Khramov,

Bergaliyev

2024

J. Phys.: Conf. Ser.

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“…While previous works have explored various types of ultrashort pulses [45][46][47], our study specifically focuses on two distinct frequencies, denoted as ω, as depicted in equations (4b). This selection allows us to generate two characteristic and very strong time-dependent perturbing fields, as illustrated in figure 1, with FWHM∼825.7 as.…”

Section: General Approachmentioning

confidence: 99%

Multistate transition dynamics by strong time-dependent perturbation in NISQ era

Wang

Krstić

2023

J. Phys. Commun.

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We develop a quantum computing scheme utilizing McLachlan variational principle in a hybrid quantum-classical algorithm to accurately calculate the transition dynamics of a closed quantum system with many excited states subject to a strong time-dependent perturbation. A systematic approach for optimal construction of a general N-state ansatz with unary N-qubit encoding is refined. We also use qubit efficient encoding in McLachlan variational quantum algorithm to reduce the number of qubits to log2(N), simultaneously diminishing depths of the quantum circuits. The significant reduction of the number of time steps is achieved by use of the second order marching method. Instrumental in obtaining high accuracy are adaptations of the circuits to include time-dependent global phase correction. We illustrated, tested and optimized our quantum computing algorithm on a set of 16 bound hydrogenic eigenstates exposed to a strong laser attosecond pulse. Results for transition probabilities are obtained with accuracy better than 1% as established by comparison to the benchmark data. Use of interaction representation of the Hamiltonian reduces the noise accumulation while the quantum system evolves in time.

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“…The theoretical basis for carrying out this kind of research is rather poorly developed and often does not take into account the aspects of scattered USPs 14,16,[23][24][25][26][27][28] , which is why theoretical studies of the aspects of USPs in their scattering by various polyatomic systems are currently being carried out. In spite of this, the magnetic component of such USPs is usually not taken into account.…”

Section: X-ray Diffraction Analysis Of Matter Taking Into Account Thementioning

confidence: 99%

X-ray diffraction analysis of matter taking into account the second harmonic in the scattering of powerful ultrashort pulses of an electromagnetic field

Есеев

Goshev

Makarova

et al. 2021

Sci Rep

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It is well known that the scattering of ultrashort pulses (USPs) of an electromagnetic field in the X-ray frequency range can be used in diffraction analysis. When such USPs are scattered by various polyatomic objects, a diffraction pattern appears from which the structure of the object can be determined. Today, there is a technical possibility of creating powerful USP sources and the analysis of the scattering spectra of such pulses is a high-precision instrument for studying the structure of matter. As a rule, such scattering occurs at a frequency close to the carrier frequency of the incident USP. In this work, it is shown that for high-power USPs, where the magnetic component of USPs cannot be neglected, scattering at the second harmonic appears. The scattering of USPs by the second harmonic has a characteristic diffraction pattern which can be used to judge the structure of the scattering object; combining the scattering spectra at the first and second harmonics therefore greatly enhances the diffraction analysis of matter. Scattering spectra at the first and second harmonics are shown for various polyatomic objects: examples considered are 2D and 3D materials such as graphene, carbon nanotubes, and hybrid structures consisting of nanotubes. The theory developed in this work can be applied to various multivolume objects and is quite simple for X-ray structural analysis, because it is based on analytical expressions.

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Attosecond Dynamics of Photoexcitation of the Hydrogen Atom by Ultrashort Laser Pulses

Cited by 13 publications

References 12 publications

“Middle way” in the description of ultrashort electromagnetic interactions: between Fermi’s golden rule and the numerical solution of the Schrödinger equation

“Middle way” in the description of ultrashort electromagnetic interactions: between Fermi’s golden rule and the numerical solution of the Schrödinger equation

Multistate transition dynamics by strong time-dependent perturbation in NISQ era

X-ray diffraction analysis of matter taking into account the second harmonic in the scattering of powerful ultrashort pulses of an electromagnetic field

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