Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Experimental and Theoretical Physics

Emergence of a stabilization regime in quantum systems subject to a strong laser field and the Kramers-Henneberger approximation

Ekaterina A. Volkova, A. M. Popov, Olga V. Smirnova, Olga V. Tikhonova

Published Apr 1, 1997• 10 citations
Publisher

Abstract

We use the Kramers-Henneberger approximation to investigate the phenomenon of stabilization of quantum systems with short-range potentials in a strong electromagnetic field. We identify the physical limits imposed on our investigation by the use of this approximation, and the ranges of parameter values of the system and external field that lead to stabilization. We analyze the dependence of the stabilization threshold on the frequency of the laser light. The conclusions obtained from our analytic investigation are confirmed by numerical calculations.

DOI
10.1134/1.558197

Related papers

Spontaneous emission from the atom stabilized by a strong high-frequency laser field

Anna V. Bogatskaya, Ekaterina A. Volkova, A. M. Popov

Abstract The spontaneous emission of a quantum system driven by a high-intensity, high-frequency classical laser field is analyzed. The study is based on the accurate consideration of the quantum system interacting with vacuum-quantized field modes in the first order of perturbation theory, while the intense laser field is considered classically beyond this theory. It is demonstrated that the spectrum of the spontaneous emission can be used for analyzing the strong-field dynamics and the structure of the energy spectrum of an atomic system. In particular, it is found that in high-frequency fields (where the energy of the laser quanta is greater than the ionization potential) atoms manifest the features of the Kramers–Henneberger atom. It is also found that in the stabilization regime, the atom emits both odd and even laser radiation harmonics.

Laser Physics•Aug 23, 2017•4 citations

Stabilization of atoms in strong non-classical electromagnetic fields

Anna V. Bogatskaya, A. M. Popov

The dynamics of an atom in a strong single mode non-classical electromagnetic cavity field is studied. The reconstruction of the energy spectrum of atom and the effect of the ionization suppression in the presence of non-classical field are discussed. It is found that Kramers – Henneberger mechanism of the ionization suppression is realized in strong nonclassical fields also. For squeezed vacuum states the threshold of the stabilization is approximately three times lower than for classical (coherent) state of the same intensity.

Journal of Physics Conference Series•Aug 28, 2013•0 citations

STRONG-FIELD REGIMES OF PHOTOIONIZATION

Mikhail Vladimirovich Fedorov

The main known regimes of atom ionization by a strong laser field are reviewed: the Kramers–Henneberger (high-frequency) and interference stabilization of atoms, barrier-suppression ionization and the model of wave packet spreading. The physics and relations between them are discussed.

Journal of Nonlinear Optical Physics & Materials•Oct 1, 1995•0 citations

Dynamics of an atomic system in a strong non-classical electromagnetic field

Anna V. Bogatskaya, A. M. Popov

The dynamics of an atom in a strong single mode non-classical electromagnetic cavity field is studied. The reconstruction of the energy spectrum of an atom and the effect of ionization suppression in the presence of a non-classical field are discussed. It is found that a mechanism of ionization suppression similar to the Kramers–Henneberger one is also realized in strong non-classical fields. For squeezed vacuum states the threshold of the stabilization is approximately three times lower than for a classical (coherent) state of the same intensity.

Laser Physics•May 31, 2013•1 citation

AC stark effect and atomic stabilization in a strong nonclassical electromagnetic field

Anna V. Bogatskaya, A. M. Popov

We consider the dynamics of an atom that interacts with one mode of an electromagnetic field in a microcavity. We discuss the reconstruction of the spectrum of atomic states and the occurrence of a stabilization effect for the case of a nonclassical state of the field mode, in particular, a squeezed vacuum state. We show that, for nonclassical fields, an ionization-suppression effect also arises (stabilization), which is similar to the Kramers-Henneberger stabilization in a classical electromagnetic field, and, for squeezed states of the electromagnetic field, the stabilization threshold is several times smaller than that for the classical electro-magnetic field of the same intensity.

Optics and Spectroscopy•May 1, 2013•1 citation

Non-relativistic quantum electrodynamics for strong laser-atom interaction

Marco Frasca

A formulation of quantum electrodynamics is given that applies to atoms in a strong laser field by perturbation theory in a non-relativistic regime. Dipole approximation is assumed. The dual Dyson series, here discussed by referring it to the Birkhoff theorem for singularly perturbed linear differential equations, can be applied and a perturbation series obtained transforming the Hamiltonian by a Pauli-Fierz transformation. But, if just few photons are present high-order harmonics cannot be generated. So, it is proven that odd high-order harmonics only appear when the laser field is intense and one can substitute the creation and annihilation operators by the square root of the mean number of photons taken to be huge, the field retaining its coherency property as observed experimentally for harmonics. In this case, the Hamiltonian for perturbation theory comes to the Kramers-Henneberger form. The theory has a dipolar contribution when the free-electron quiver motion amplitude is larger than the atomic radius. For a Coulomb potential one has that the outer electron is periodically kicked, and so a prove is given that the same should happen to Rydberg atoms in intense microwave fields. The distribution representing the kicking has a Fourier series with just odd terms. Using a modified Rayleigh-Schrödinger perturbation theory, it is shown that under the same condition of validity of the quiver motion amplitude to atomic radius ratio, the atomic wave function is only slightly modified by the laser field due to the way the energy levels rearrange themselves. This gives a prove of stabilization in the limit of laser frequency going to infinity. Then, perturbation theory can be applied when the Keldysh parameter becomes smaller with respect to the shifted distance between the energy levels of the atom.

arXiv:quant-ph/0004002•Apr 1, 2000•0 citations
We use the Kramers-Henneberger approximation to investigate the phenomenon of stabilization of quantum systems with short-range potentials in a strong electromagnetic field. We identify the physical limits imposed on our investigation by the use of this approximation, and the ranges of parameter values of the system and external field that lead to stabilization. We analyze the dependence of the stabilization threshold on the frequency of the laser light. The conclusions obtained from our analytic investigation are confirmed by numerical calculations.
Abstract The spontaneous emission of a quantum system driven by a high-intensity, high-frequency classical laser field is analyzed. The study is based on the accurate consideration of the quantum system interacting with vacuum-quantized field modes in the first order of perturbation theory, while the intense laser field is considered classically beyond this theory. It is demonstrated that the spectrum of the spontaneous emission can be used for analyzing the strong-field dynamics and the structure of the energy spectrum of an atomic system. In particular, it is found that in high-frequency fields (where the energy of the laser quanta is greater than the ionization potential) atoms manifest the features of the Kramers–Henneberger atom. It is also found that in the stabilization regime, the atom emits both odd and even laser radiation harmonics.
The dynamics of an atom in a strong single mode non-classical electromagnetic cavity field is studied. The reconstruction of the energy spectrum of atom and the effect of the ionization suppression in the presence of non-classical field are discussed. It is found that Kramers – Henneberger mechanism of the ionization suppression is realized in strong nonclassical fields also. For squeezed vacuum states the threshold of the stabilization is approximately three times lower than for classical (coherent) state of the same intensity.
The dynamics of an atom in a strong single mode non-classical electromagnetic cavity field is studied. The reconstruction of the energy spectrum of an atom and the effect of ionization suppression in the presence of a non-classical field are discussed. It is found that a mechanism of ionization suppression similar to the Kramers–Henneberger one is also realized in strong non-classical fields. For squeezed vacuum states the threshold of the stabilization is approximately three times lower than for a classical (coherent) state of the same intensity.
We consider the dynamics of an atom that interacts with one mode of an electromagnetic field in a microcavity. We discuss the reconstruction of the spectrum of atomic states and the occurrence of a stabilization effect for the case of a nonclassical state of the field mode, in particular, a squeezed vacuum state. We show that, for nonclassical fields, an ionization-suppression effect also arises (stabilization), which is similar to the Kramers-Henneberger stabilization in a classical electromagnetic field, and, for squeezed states of the electromagnetic field, the stabilization threshold is several times smaller than that for the classical electro-magnetic field of the same intensity.
A formulation of quantum electrodynamics is given that applies to atoms in a strong laser field by perturbation theory in a non-relativistic regime. Dipole approximation is assumed. The dual Dyson series, here discussed by referring it to the Birkhoff theorem for singularly perturbed linear differential equations, can be applied and a perturbation series obtained transforming the Hamiltonian by a Pauli-Fierz transformation. But, if just few photons are present high-order harmonics cannot be generated. So, it is proven that odd high-order harmonics only appear when the laser field is intense and one can substitute the creation and annihilation operators by the square root of the mean number of photons taken to be huge, the field retaining its coherency property as observed experimentally for harmonics. In this case, the Hamiltonian for perturbation theory comes to the Kramers-Henneberger form. The theory has a dipolar contribution when the free-electron quiver motion amplitude is larger than the atomic radius. For a Coulomb potential one has that the outer electron is periodically kicked, and so a prove is given that the same should happen to Rydberg atoms in intense microwave fields. The distribution representing the kicking has a Fourier series with just odd terms. Using a modified Rayleigh-Schrödinger perturbation theory, it is shown that under the same condition of validity of the quiver motion amplitude to atomic radius ratio, the atomic wave function is only slightly modified by the laser field due to the way the energy levels rearrange themselves. This gives a prove of stabilization in the limit of laser frequency going to infinity. Then, perturbation theory can be applied when the Keldysh parameter becomes smaller with respect to the shifted distance between the energy levels of the atom.