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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

This work aims to shed some light on the meaning of the positive energy assumption in relativistic quantum theory and its relation to questions of localization of quantum systems. It is shown that the positive energy property of solutions…

Quantum Physics · Physics 2024-03-21 Christian Beck

A theoretical study of the intense-field multiphoton ionization of hydrogenlike systems is performed by solving the time-dependent Dirac equation within the dipole approximation. It is shown that the velocity-gauge results agree to the ones…

Quantum Physics · Physics 2015-05-27 Yulian V. Vanne , Alejandro Saenz

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

It is well known that there can be negative energy densities in quantum field theory. Most of the work done in this area has involved free non-interacting systems. In this paper we show how a quantum state with negative energy density can…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dan Solomon

It was known that a free, nonrelativistic particle in a superposition of positive momenta can, in certain cases, bear a negative probability current --- hence termed quantum backflow. Here, it is shown that more variations can be brought…

Quantum Physics · Physics 2018-11-14 Hong-Yi Su , Jing-Ling Chen

The emission of a pair of entangled photons by an electron in an intense laser field can be described by two-photon transitions of laser-dressed, relativistic Dirac--Volkov states. In the limit of a small laser field intensity, the…

Quantum Physics · Physics 2010-04-22 E. Lötstedt , U. D. Jentschura

We study vacuum polarization due to strong fields, in the presence of an electron-positron plasma. For this purpose, we expand quantum kinetic equations using weak fields and slow temporal scales as expansion parameters. It is demonstrated…

Plasma Physics · Physics 2025-12-09 Sebastian Lundström , Philip Semrén , Haidar Al-Naseri , Gert Brodin

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 study Kapitza-Dirac diffraction of a Bose-Einstein condensate from a standing light wave for a square pulse with variable pulse length but constant pulse area. We find that for sufficiently weak pulses, the usual analytical short-pulse…

Quantum Gases · Physics 2009-11-17 Bryce Gadway , Daniel Pertot , Rene Reimann , Martin G. Cohen , Dominik Schneble

We develop a relativistic model to describe the bound states of positive energy and negative energy in finite nuclei at the same time. Instead of searching for the negative-energy solution of the nucleon's Dirac equation, we solve the Dirac…

Nuclear Theory · Physics 2016-08-15 G. Mao , H. Stöcker , W. Greiner

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

We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system-reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the…

Quantum Physics · Physics 2019-01-14 Ryosuke Imai , Yoshiya Yamanaka

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Ito

The Dirac equation is a cornerstone in the history of physics, merging successfully quantum mechanics with special relativity, providing a natural description of the electron spin and predicting the existence of anti-matter. Furthermore, it…

Quantum Physics · Physics 2010-01-08 R. Gerritsma , G. Kirchmair , F. Zähringer , E. Solano , R. Blatt , C. F. Roos

Interactions between atoms and light fields are usually described in the electric-dipole approximation. We show that electric-quadrupole terms are important in the Kapitza-Dirac arrangement for light gratings on resonance with a quadrupole…

Quantum Physics · Physics 2013-11-06 Pedro Sancho

It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the…

Quantum Physics · Physics 2015-10-09 Diego Julio Cirilo-Lombardo

This paper examines the Foldy-Wouthuysen and Feynman-Gell-Mann representations of the Dirac equation. The analysis is conducted for electrons and positrons interacting with electromagnetic fields. Versions of quantum electrodynamics are…

High Energy Physics - Theory · Physics 2026-03-02 V. P. Neznamov

Much of the novel physics predicted to be observable in the ultrastrong light-matter coupling regime rests on the hybridisation between states with different numbers of excitations, leading to a population of virtual photons in the system's…

Quantum Physics · Physics 2017-11-15 Simone De Liberato