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Journal Article

The Kapitza-Dirac effect in the relativistic regime

MPS-Authors
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Ahrens,  Sven
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Bauke,  Heiko
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Keitel,  Christoph H.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Müller,  Carsten
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
Institut für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany;

External Resource

http://pra.aps.org/abstract/PRA/v88/i1/e012115
(Publisher version)

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1305.5507v2.pdf
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Citation

Ahrens, S., Bauke, H., Keitel, C. H., & Müller, C. (2013). The Kapitza-Dirac effect in the relativistic regime. Physical Review A, 88(1): 012115, pp. 1-14. doi:10.1103/PhysRevA.88.012115.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-F8A5-1
Abstract
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 demonstrate that spin-flips can be observed in the two-photon and the three-photon Kapitza-Dirac effect for certain parameters. During the interaction with the laser field the electron's spin is rotated, and we give explicit expressions for the rotation axis and the rotation angle. The off-resonant Kapitza-Dirac effect, that is, when the Bragg condition is not exactly fulfilled, is described by a generalized Rabi theory. We also analyze the in-field quantum dynamics as obtained from the numerical solution of the Dirac equation.