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Title: Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation

Abstract

Avoided crossings are common in the quasienergy spectra of strongly driven nonlinear quantum wells. In this paper we examine the sinusoidally driven particle in a square potential well to show that avoided crossings can alter the structure of Floquet states in this system. Two types of avoided crossings are identified: one type leads only to temporary changes (as a function of driving field strength) in Floquet state structure while the second type can lead to permanent delocalization of the Floquet states. Radiation spectra from these latter states show a significant increase in high harmonic generation as the system passes through the avoided crossing. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
;  [1]
  1. Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712 (United States)
Publication Date:
OSTI Identifier:
335604
Resource Type:
Journal Article
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 59; Journal Issue: 4; Other Information: PBD: Apr 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; HARMONIC GENERATION; OPTICS; CROSSING-OVER; FLOQUET FUNCTION; QUANTUM MECHANICS; DYNAMICS

Citation Formats

Timberlake, T, and Reichl, L E. Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation. United States: N. p., 1999. Web. doi:10.1103/PhysRevA.59.2886.
Timberlake, T, & Reichl, L E. Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation. United States. https://doi.org/10.1103/PhysRevA.59.2886
Timberlake, T, and Reichl, L E. 1999. "Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation". United States. https://doi.org/10.1103/PhysRevA.59.2886.
@article{osti_335604,
title = {Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation},
author = {Timberlake, T and Reichl, L E},
abstractNote = {Avoided crossings are common in the quasienergy spectra of strongly driven nonlinear quantum wells. In this paper we examine the sinusoidally driven particle in a square potential well to show that avoided crossings can alter the structure of Floquet states in this system. Two types of avoided crossings are identified: one type leads only to temporary changes (as a function of driving field strength) in Floquet state structure while the second type can lead to permanent delocalization of the Floquet states. Radiation spectra from these latter states show a significant increase in high harmonic generation as the system passes through the avoided crossing. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevA.59.2886},
url = {https://www.osti.gov/biblio/335604}, journal = {Physical Review A},
number = 4,
volume = 59,
place = {United States},
year = {1999},
month = {4}
}