Beam focus and longitudinal polarization influence on spin dynamics in the Kapitza-Dirac effect

Ahrens, Sven; Guan, Ziling; Shen, Baifei

doi:10.1103/physreva.105.053123

Cited by 5 publications

(1 citation statement)

References 43 publications

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“…Despite a few works still examining the possibility of separating different electron spins by static magnetic fields [18][19][20][21][22], most concentrated efforts are now being devoted to exploring the possibility of polarizing electrons using free-space light. In these latter studies, the spin dynamics of electrons are manipulated via Compton scattering [23][24][25][26][27][28] or by the Kapitza-Dirac effect [29][30][31][32][33][34][35][36][37][38][39], which involve either a single laser beam or two counterpropagating lasers [40][41][42], respectively. Nevertheless, these free-space phenomena are at least second-order quantum processes, which are significant only at enormous laser intensities (typically, ∼ 10 18 -10 22 W/cm 2 , depending on the interaction time; see Appendix).…”

Section: Introductionmentioning

confidence: 99%

Spin flips of electron beams in optical near fields

Pan¹,

Xu²

2022

Preprint

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Manipulating the spin polarization of electron beams using light is highly desirable but exceedingly challenging, as the approaches proposed in previous studies using free-space light usually require enormous laser intensities. Here, we propose the use of a transverse electric optical near field, extended on nanostructures, to efficiently induce spin flips of an adjacent electron beam by exploiting the strong inelastic electron scattering in phase-matched optical near fields. Our calculations show that the use of a dramatically reduced laser intensity (∼ 10 12 W/cm 2 ) with a short interaction length (16 µm) achieves an electron spin-flip probability of approximately 12%. Intriguingly, the two spin components of an unpolarized incident electron beam-parallel and antiparallel to the electric field-are spin-flipped and inelastically scattered to different energy states, providing an analog of the Stern-Gerlach experiment in the energy dimension. Our findings are important for optical control of free-electron spins, preparation of spin-polarized electron beams, and applications as varied as in material science and high-energy physics.

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Section: Introductionmentioning

confidence: 99%

Spin flips of electron beams in optical near fields

Pan¹,

Xu²

2022

Preprint

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Chaos and integrability of relativistic homogeneous potentials in curved space

Szumiński,

Przybylska,

Maciejewski

2024

Nonlinear Dyn

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Relativistic Hamiltonian systems of n degrees of freedom in static curved spaces are considered. The source of space-time curvature is a scalar potential $$V(\varvec{q})$$ V ( q ) . In the limit of weak potential $$2V(\varvec{q})/mc^2\ll 1$$ 2 V ( q ) / m c 2 ≪ 1 , and small momentum $$|\varvec{p} |/ mc\ll 1$$ | p | / m c ≪ 1 , these systems transform into the corresponding non-relativistic flat Hamiltonian’s with the standard sum of kinetic energy plus potential $$V(\varvec{q})$$ V ( q ) . We compare the dynamics of the classical and the corresponding relativistic curved counterparts on examples of important physical models: the Hénon–Heiles system, the Armbruster–Guckenheimer–Kim galactic system and swinging Atwood’s machine. Our main results are formulated for relativistic Hamiltonian systems with homogeneous potentials of non-zero integer degree k of homogeneity. First, we show that the integrability of a non-relativistic flat Hamiltonian with a homogeneous potential is a necessary condition for the integrability of its relativistic counterpart in curved space-time with the same homogeneous potential or with a non-homogeneous potential that the lowest homogenous part coincides with this homogeneous potential. Moreover, we formulate necessary integrability conditions for relativistic Hamiltonian systems with homogeneous potentials in curved space-time. These conditions were obtained from analysis of the differential Galois group of variational equations along a particular straight-line solution defined by a non-zero vector $$\varvec{d}$$ d satisfying $$V'(\varvec{d})=\gamma \varvec{d}$$ V ′ ( d ) = γ d for a certain $$\gamma \ne 0$$ γ ≠ 0 . They are very strong: if the relativistic system is integrable in the Liouville sense, then either $$k=\pm 2$$ k = ± 2 , or all non-trivial eigenvalues of the re-scaled Hessian $$\gamma ^{-1}V''(\varvec{d})$$ γ - 1 V ′ ′ ( d ) are either 0, or 1. Certain integrable relativistic systems are presented.

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Parameter-space investigation for spin-dependent electron diffraction in the Kapitza-Dirac effect

Wang,

Ahrens

2024

Phys. Rev. A

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Beam focus and longitudinal polarization influence on spin dynamics in the Kapitza-Dirac effect

Cited by 5 publications

References 43 publications

Spin flips of electron beams in optical near fields

Spin flips of electron beams in optical near fields

Chaos and integrability of relativistic homogeneous potentials in curved space

Parameter-space investigation for spin-dependent electron diffraction in the Kapitza-Dirac effect

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