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Quantum chaos in Ga/AlxGa1-xAs microstructures

Publication ,  Journal Article
Chang, AM
Published in: Chaos, Solitons and Fractals
January 1, 1997

We report distinct signatures of 'quantum chaos' in both open and closed systems. Quantum chaos refers to the quantum signature of systems which classically exhibit chaotic dynamics. In the open case, we measure the line shape of the negative magneto-resistance peak in ballistic cavities fabricated on very high quality GaAs/AlxGa1-xAs heterostructures. We find a striking difference in the line shape for chaotic, stadium cavities versus non-chaotic, circle cavities: Lorentzian versus triangular. In the case of closed systems, we study the distribution of Coulomb blockade conductance peak heights in individual quantum dots. We find a strongly non-Gaussian distribution and a significant difference between the zero and non-zero magnetic fields. While the zero magnetic field distribution is related to the well-known Porter-Thomas distribution of resonance widths in the scattering of neutrons from nuclei, the non-zero magnetic field distribution is completely new and previously unobserved. © 1997 Elsevier Science Ltd.

Duke Scholars

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

January 1, 1997

Volume

8

Issue

7-8

Start / End Page

1281 / 1297

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences
 

Citation

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Chang, A. M. (1997). Quantum chaos in Ga/AlxGa1-xAs microstructures. Chaos, Solitons and Fractals, 8(7–8), 1281–1297. https://doi.org/10.1016/S0960-0779(97)00020-9
Chang, A. M. “Quantum chaos in Ga/AlxGa1-xAs microstructures.” Chaos, Solitons and Fractals 8, no. 7–8 (January 1, 1997): 1281–97. https://doi.org/10.1016/S0960-0779(97)00020-9.
Chang AM. Quantum chaos in Ga/AlxGa1-xAs microstructures. Chaos, Solitons and Fractals. 1997 Jan 1;8(7–8):1281–97.
Chang, A. M. “Quantum chaos in Ga/AlxGa1-xAs microstructures.” Chaos, Solitons and Fractals, vol. 8, no. 7–8, Jan. 1997, pp. 1281–97. Scopus, doi:10.1016/S0960-0779(97)00020-9.
Chang AM. Quantum chaos in Ga/AlxGa1-xAs microstructures. Chaos, Solitons and Fractals. 1997 Jan 1;8(7–8):1281–1297.
Journal cover image

Published In

Chaos, Solitons and Fractals

DOI

ISSN

0960-0779

Publication Date

January 1, 1997

Volume

8

Issue

7-8

Start / End Page

1281 / 1297

Related Subject Headings

  • Mathematical Physics
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences