High Energy Particle Physics

   

Extreme Nonlinear Fourier Optics: Singularities of High Harmonics (HHG) and Ultra Subharmonics ((u)subhg) Under the Aspect of Coherent Generation, Kinetics and Control of Photo and Spin Currents Depending on Matter Symmetry

Authors: Peter Krampl

This thesis describes in a new extended approach in (1)-(4) the generation and dynamics of photo- and spin currents in the nonlinear regime. For the first time, the description of the exact nonlinear behavior of photo-spin currents using correction factors of nonlinear approximations with an accuracy of up to small 7th order quantities was shown (2). In addition, the complex absorption behavior was examined in more detail and adapted to the real phenomena in a first extended approach (3). New "exotic" expressions were shown for a more precise description of the kinetics of photo- and spin currents in the high-energy nonlinear regime and their resulting nonlinear phenomena. The HOMO and LUMO orbital limit states were adapted to the new findings of nonlinear systems (4).In (5) nonlinear effects on geometric structures were shown, here in photonic crystals. The suppression of hysteresis effects in photonic crystals, as well as in all other micro- and nanoscale devices, will become of great importance in order to avoid disturbances caused by abrupt changes in dynamics, for example in geometric structures such as photonic crystals, to ensure a smooth transition between stable responses in the dielectric layers.Based on this, a nonlinear chemical potential was formulated in (6). Fermi-Dirac-like equilibrium coherences for electrons and holes on photonic crystals were shown. The changed nonlinear eigenfunctions and nonlinear eigenenergies show, by changing the chemical potential of the "Fermi" gas or "Fermi" liquid by a non-continuous phase transition of the 2nd order, that the entropy-rich system transitions into a lower-entropy solid-state system. This makes it possible to facilitate the transition between phases of different symmetry (e.g. crystal ↔, liquid) and different crystalline modifications (non-continuous transition).Finally, an abinitio nonlinear phase transition model for non-equilibrium phenomena was formulated (7). Taking into account many-body quantum theory, phase transitions in non-equilibrium were considered in more detail than nonlinear transitions. First- and second-order phase transitions were found due to nonlinearities. In addition, the particle behavior was formulated in a modified nonlinear high-energy evolution of Greenian functions with additional nonlinear terms and new expressions for the cube formula with new, extended nonlinear terms for nonlinear many-body systems were written down to a new comprehensive nonlinear cube formalism.

Comments: 48 Pages. In German

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[v1] 2024-09-30 22:23:30

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