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Erschienen in:
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2018 | OriginalPaper | Buchkapitel

Nonlinear Quantum Mechanics

verfasst von : Björn Birnir

Erschienen in: Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Verlag: Springer International Publishing

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Abstract

We show that the nonlinear bifurcations found by simulations in single quantum wells in the terahertz regime [5, 6, 25] also occur in semiconductor superlattices (SSLs) in the gigahertz range [2, 3, 11]. The only exception is the second Hopf bifurcation to quasi-periodic orbits on a torus. The advantage of experiments on SSLs in the gigahertz range is that the experiments can be conducted at room temperature and a chaotic oscillator due to the random dressing of a period two-orbit has already been measured [31, 32]. We determine [42] that the route to chaos for SSLs in the sequential tunneling regime is the period doubling cascade. Shorter (10-period) superlattices are observed to exhibit faster oscillations compared with longer (50-period) ones. Two plateaus are observed as functions of the voltage bias, and intrinsically chaotic dynamics on the second plateau are possible only for shorter SSLs, while the dynamics in the first plateau contain intrinsic chaos only for longer (N > 50) SSLs [21].

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Nächstes Kapitel Chaotic Current Self-oscillations in Doped, Weakly Coupled Semiconductor Superlattices for True Random Number Generation
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Metadaten
Titel
Nonlinear Quantum Mechanics
verfasst von
Björn Birnir
Copyright-Jahr
2018
Buch
Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Print ISBN: 978-3-319-76598-3

Electronic ISBN: 978-3-319-76599-0

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-76599-0_1

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