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Many calculations in strong field quantum field theory are carried out by using a simple field geometry, often neglecting the spacial field envelope. In this article, we simulate the electron diffraction quantum dynamics of the…

Quantum Physics · Physics 2024-02-29 Ping Ge , Sven Ahrens , 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

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

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…

We extend the study of Kapitza-Dirac diffraction to the case of two-particle systems. Due to the exchange effects the shape and visibility of the two-particle detection patterns show important differences for identical and distinguishable…

Quantum Physics · Physics 2015-05-20 Pedro Sancho

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…

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

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

Negative states are an intrinsic property of relativistic quantum theory and related to anti-particles in the context of the Dirac sea concept. We show that negative states can dominantly contribute to the diffraction amplitude in the…

Quantum Physics · Physics 2026-05-21 Qianlong Wang , Sven Ahrens , Baifei Shen

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

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

We analyze the diffraction regime of the Kapitza-Dirac effect for particles entangled in momentum. The detection patterns show two-particle interferences. In the single-mode case we identify a discontinuity in the set of joint detection…

Quantum Physics · Physics 2015-06-24 Pedro Sancho

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

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

We analyze the diffraction of elementary systems as the electron by light gratings when they are described by charge distributions instead of the usual point-like form. The treatment of the problem is based on the introduction, in analogy…

Quantum Physics · Physics 2016-01-20 Pedro Sancho

The stationary eigenstates and eigenvalues for the ponderomotive potential of an optical crystal confined in a one-dimensional infinite square well are numerically obtained. The initial states of the incoming particles taken as Gaussian,…

Quantum Physics · Physics 2020-02-19 Sushanta Barman , Sudeep Bhattacharjee

The fundamental solution of the Dirac equation for an electron in an electromagnetic field with harmonic dependence on space-time coordinates is obtained. The field is composed of three standing plane harmonic waves with mutually orthogonal…

Quantum Physics · Physics 2016-06-10 G. N. Borzdov

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 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

In this paper conceptual points regarding electrons elastic (Kapitza-Dirac effect) and inelastic diffraction effect on the different type slowed electromagnetic wave structures/light gratings are considered. From the unified point of view…

Optics · Physics 2016-09-21 H. K. Avetissian
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