High-harmonic generation in a quantum electron gas trapped in a nonparabolic and anisotropic well

Abstract

An effective self-consistent model is derived and used to study the dynamics of an electron gas confined in a nonparabolic and anisotropic quantum well. This approach is based on the equations of quantum hydrodynamics, which incorporate quantum and nonlinear effects in an approximate fashion. The effective model consists of a set of six coupled differential equations (dynamical system) for the electric dipole and the size of the electron gas. Using this model we show that: (i) High harmonic generation is related to the appearance of chaos in the phase space, as attested by related Poincaré sections; (ii) Higher order harmonics can be excited efficiently and with relatively weak driving fields by making use of chirped electromagnetic waves.

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• Plasmonic breathing modes in ${\mathrm{C}}_{60}$ molecules -- A quantum hydrodynamic approach
• Resonant Electron-Plasmon Interactions in Drifting Electron Gas
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