Four-Photon Kapitza-Dirac Effect as Electron Spin Filter

Abstract

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 in Bragg regime absorbs three photons with frequency of w and emits a photon with frequency of 3w, four-photon Kapitza-Dirac effect. In this four-photon Kapitza-Dirac effect distinct spin effects arise in different polarizations of the third harmonic laser beam. It is shown that the shape of Rabi oscillation between initial and scattered states is changed and finds two unequal peaks. In circular polarization for fundamental and third harmonic, despite Rabi oscillation, the spin down electron in 0.56 fs intervals maintains its momentum and spin. Also we present an electron spin filter with combination of a linearly polarized fundamental laser beam and a third harmonic with circular polarization that scatters the electron beam according to its spin state.

7 pages, 6 figures

References in corpus (7)

• Spin dynamics in the Kapitza-Dirac effect
• Spin-polarizing interferometric beam splitter for free electrons
• Controlling electron spin dynamics in bichromatic Kapitza-Dirac scattering by the laser field polarization
• Spin effects in Kapitza-Dirac scattering at light with elliptical polarization
• Spin-dependent two-color Kapitza-Dirac effects
• Electron spin filter and polarizer in a standing light wave
• Spin dynamics in Kapitza-Dirac scattering of electrons from bichromatic laser fields

Cited by in corpus (5)

• Spin-dependent two-photon Bragg scattering in the Kapitza-Dirac effect
• Beam focus and longitudinal polarization influence on spin dynamics in the Kapitza-Dirac effect
• Parameter space investigation for spin-dependent electron diffraction in the Kapitza-Dirac effect
• Two-dimensional simulation of the spin-flip in the Kapitza-Dirac effect
• Time evolution of charged particle wave functions in optical crystal: The coherent Kapitza-Dirac effect for plasma-based proton beams