Nondipole strong-field-approximation Hamiltonian

Jensen, Simon Vendelbo Bylling; Lund, Mads M.; Madsen, Lars Bojer

doi:10.1103/physreva.101.043408

Cited by 26 publications

(43 citation statements)

References 54 publications

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“…Calculations have shown that there are deviations from this momentum sharing for 1s-state of atomic hydrogen around I p 3c [74,76,98]. The result was confirmed for an initial s-state [12,68].…”

Section: Multi-photon Ionization and Strong-field Ionizationmentioning

confidence: 73%

Ionization in intense laser fields beyond the electric dipole approximation: concepts, methods, achievements and future directions

Mäurer

Keller

2021

J. Phys. B: At. Mol. Opt. Phys.

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The electric dipole approximation is widely used in atomic, molecular and optical physics and is typically related to a regime for which the wavelength is much larger than the atomic structure. However, studies have shown that in strong laser fields another regime exists where the dipole approximation breaks down. During the ionization process in intense laser fields and at long wavelengths the photoelectrons can reach higher velocities such that the magnetic field component of the laser field becomes significant. The ionization dynamics and the final momentum of the electron is therefore modified by the entire Lorentz force. In contrast the magnetic field interaction is neglected in the dipole approximation. Rapid developments in laser technology and advancements in the accuracy of the measurements techniques have enabled the observation of the influence of such non-dipole effects on the final angular photoelectron momentum distributions. More recently the number of studies on ionization beyond the dipole approximation has increased significantly, providing more important insight into fundamental properties of ionization processes. For example we have shown that the final three dimensional photoelectron momentum spectra is significantly affected by the non-dipole drift with the parent-ion interaction, the linear multiphoton momentum transfer on a sub-cycle time scale and the sharing of the transferred linear photon momenta between the electron and the ion. In this article we present an overview of the underlying mechanisms and we review the experimental techniques and the achievements in this field. We focus on ionization in strong laser fields in the regime where the dipole approximation is not valid but a fully relativistic description is not required.

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Section: Multi-photon Ionization and Strong-field Ionizationmentioning

confidence: 73%

Ionization in intense laser fields beyond the electric dipole approximation: concepts, methods, achievements and future directions

Mäurer

Keller

2021

J. Phys. B: At. Mol. Opt. Phys.

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“…4). In order to compare our experimental findings to the two existing predictions, we show the results together with the expectations from the nondipole strong field approximation [10,11] (SFA, Eq. ( 4)) and the Doppler model (Eq.…”

Section: Discussionmentioning

confidence: 91%

“…leading to Eq. (3) which spawned further theoretical work by Böning et al, Jensen et al, Lund and Madsen, as well as Brennecke and Lein [10][11][12][13]. …”

mentioning

confidence: 98%

Photoelectron energy peaks shift against the radiation pressure in strong field ionization

Lin¹,

Eckart²,

Hartung³

et al. 2021

Preprint

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“…In particular, relativistic non-dipole effects are visible in the experimentally observed photo-electron spectra 20 for the infrared (IR) laser fields of the intensity of the order of W/cm . These non-dipole effects in the tunneling regime of ionization have been studied experimentally 20 , 21 , and theoretically 16 , 22 – 28 . Effects related to the electron spin, which cannot be described by the non-relativistic TDSE, have also been observed.…”

Section: Introductionmentioning

confidence: 99%

“…The relativistic and spin effects can be studied using the relativistic generalizations of the SFA theory 7 , 16 , 19 , 22 , 25 , 28 . Alternatively, for not very high field strengths, one can use perturbative approach, by adding the terms describing relativistic interactions to the non-relativistic Hamiltonian 23 , 24 and solving the resulting TDSE numerically.…”

Section: Introductionmentioning

confidence: 99%

Distribution of absorbed photons in the tunneling ionization process

Ivanov

Kim

2021

Sci Rep

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We describe a procedure that allows us to solve the three-dimensional time-dependent Schrödinger equation for an atom interacting with a quantized one-mode electromagnetic field. Atom-field interaction is treated in an ab initio way prescribed by quantum electrodynamics. We use the procedure to calculate probability distributions of absorbed photons in the regime of tunneling ionization. We analyze evolution of the reduced photon density matrix describing the state of the field. We show that non-diagonal density matrix elements decay quickly, as a result of the decoherence process. A stochastic model, viewing ionization as a Markovian birth-death process, reproduces the main features of the calculated photon distributions.

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Nondipole strong-field-approximation Hamiltonian

Cited by 26 publications

References 54 publications

Ionization in intense laser fields beyond the electric dipole approximation: concepts, methods, achievements and future directions

Ionization in intense laser fields beyond the electric dipole approximation: concepts, methods, achievements and future directions

Photoelectron energy peaks shift against the radiation pressure in strong field ionization

Distribution of absorbed photons in the tunneling ionization process

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