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Theoretical spin properties of the Kapitza-Dirac effect beyond the plane-wave description are not known in detail. We develop a method for computing electron diffraction of the two-photon Kapitza-Dirac effect in a two-dimensional Gaussian…

Quantum Physics · Physics 2024-07-01 Sven Ahrens , Chong Zhang , Ping Ge , Guweiyi Li , Baifei Shen

We demonstrate that spin-dependent electron diffraction is possible for a smooth range of transverse electron momenta in a two-photon Bragg scattering scenario of the Kapitza-Dirac effect. Our analysis is rendered possible by introducing a…

Quantum Physics · Physics 2024-01-19 Yang Wang , Sven Ahrens

Electron spin dynamics in Kapitza-Dirac scattering from a standing laser wave of high frequency and high intensity is studied. We develop a fully relativistic quantum theory of the electron motion based on the time-dependent Dirac equation.…

Quantum Physics · Physics 2012-07-25 Sven Ahrens , Heiko Bauke , Christoph H. Keitel , Carsten Müller

We present the possibility of spin-dependent Kapitza-Dirac scattering based on a two-photon interaction only. The interaction scheme is inspired from a Compton scattering process, for which we explicitly show the mathematical correspondence…

Quantum Physics · Physics 2020-09-11 Sven Ahrens , Zhenfeng Liang , Tilen Cadez , Baifei Shen

We demonstrate the theoretical feasibility of spin-dependent diffraction and spin-polarization of an electron in two counter-propagating, circularly polarized laser beams. The spin-dynamics appears in a two-photon process of the…

Quantum Physics · Physics 2017-12-06 Sven Ahrens

Similar to the optical diffraction of light passing through a material grating, the Kapitza-Dirac effect occurs when an electron is diffracted by a standing light wave. In its original description the effect is time-independent. In the…

The Kapitza-Dirac effect, which refers to electron scattering at standing light waves, is studied in the Bragg regime with counterpropagating elliptically polarized electromagnetic waves with the same intensity, wavelength, and degree of…

Quantum Physics · Physics 2015-11-04 Rico Erhard , Heiko Bauke

The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets walking across the surface of a vibrating liquid bath are…

Spin-dependent Kapitza-Dirac scattering of electron beams from counterpropagating bichromatic laser waves in various polarization geometries is studied. The corresponding scattering probabilities are obtained by analytical and numerical…

Atomic Physics · Physics 2017-05-23 Matthias M. Dellweg , Carsten Müller

In the Kapitza-Dirac effect, atoms, molecules, or swift electrons are diffracted off a standing wave grating of the light intensity created by two counter-propagating laser fields. In ultrafast electron optics, such a coherent beam splitter…

Quantum Physics · Physics 2019-05-03 Nahid Talebi , Christoph Lienau

A relativistic description of the Kapitza-Dirac effect in the so-called Bragg regime with two and three interacting photons is presented by investigating both numerical and perturbative solutions of the Dirac equation in momentum space. We…

Atomic Physics · Physics 2013-07-17 Sven Ahrens , Heiko Bauke , Christoph H. Keitel , Carsten Müller

Coherent scattering of an electron beam by the Kapitza-Dirac effect from a standing laser wave which comprises two frequency components is studied. To this end, the Schr\"odinger equation is solved numerically with a suitable ponderomotive…

Atomic Physics · Physics 2016-08-08 Matthias M. Dellweg , Carsten Müller

We theoretically demonstrate the feasibility of producing electron beam splitter using Kapitza-Dirac diffraction on bichromatic standing waves which are created by the fundamental frequency and the third harmonic. The relativistic electron…

Atomic Physics · Physics 2018-09-26 Asma Ebadati , Mohsen Vafaee , Babak Shokri

The Kapitza - Dirac effect is the diffraction of a well - collimated particle beam by a standing wave of light. Why is this interesting? Comparing this situation to the introductory physics textbook example of diffraction of a laser beam by…

Quantum Physics · Physics 2009-11-06 H. Batelaan

Kapitza-Dirac scattering, the diffraction of matter waves from a standing light field, is widely utilized in ultracold gases, but its behavior in the strongly interacting regime is an open question. Here we develop a numerically-exact…

Quantum Gases · Physics 2026-03-19 André Becker , Georgios M. Koutentakis , Peter Schmelcher

We theoretically investigate the influence of a longitudinal laser polarization component from beam focusing on spin dynamics in Kapitza-Dirac scattering by solving the relativistic Dirac equation with time-dependent perturbation theory.…

Optics · Physics 2022-06-02 Sven Ahrens , Ziling Guan , Baifei Shen

Electron matter waves coherently diffract when passing through a periodic structure of light formed by two interfering light waves. In this so-called Kapitza-Dirac effect, the electron momentum changes due to absorption and emission of…

In this paper we present an analysis of the spin behavior of electrons propagating through a laser field. We present an experimentally realizable scenario in which spin-dependent effects of the interaction between the laser and the…

Quantum Physics · Physics 2021-05-17 Scot McGregor , Wayne Cheng-Wei Huang , Bradley A. Shadwick , Herman Batelaan

Kapitza-Dirac scattering of nonrelativistic electrons from counterpropagating bichromatic laser waves of linear polarization is studied. The focus lies on the electronic spin dynamics in the Bragg regime when the laser fields possess a…

Atomic Physics · Physics 2016-09-07 Matthias M. Dellweg , Hani M. Awwad , Carsten Müller

We consider the dynamics of Dirac particles moving in the curved spaces with one coordinate subjected to compactification and thus interpolating smoothly between three- and two-dimensional spaces. We use the model of compactification, which…

General Relativity and Quantum Cosmology · Physics 2014-02-18 Alexander J. Silenko , Oleg V. Teryaev
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