Chaotic Transport in Semiconductor, Optical, and Cold-Atom Systems

T. E. Judd, A. Henning, D. P.A. Hardwick, R. G. Scott, A. G. Balanov, P. B. Wilkinson, D. Fowler, A. M. Martin, T. M. Fromhold

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We show that the reflection of quantum-mechanical waves from semiconductor surfaces creates new regimes of nonlinear dynamics, which offer sensitive control of electrons and ultra-cold atoms. For electrons in superlattices, comprising alternating layers of different semiconductor materials, multiple reflections of electron waves from the layer interfaces induce a unique type of chaotic electron motion when a bias voltage and tilted magnetic field are applied. Changing the field parameters switches the chaos on and off abruptly, thus producing a sharp increase in the measured current flow by creating unbounded electron orbits. These orbits correspond to either intricate web patterns or attractors in phase space depending on the electron decoherence rate. We show that related dynamics provide a mechanism for controlling the transmission of electromagnetic waves through spatially-modulated photonic crystals. Finally, we consider the quantum dynamics of a Bose-Einstein condensate, comprising 120,000 rubidium atoms cooled to 10 nK, incident on a stadium billiard etched in a room-temperature silicon surface. Despite the huge temperature difference between the condensate and the billiard, quantum-mechanical reflection can shield the cold atoms from the disruptive influence of the surface, thus enabling the billiard to imprint signatures of single-particle classical trajectories in the collective motion of the reflected atom cloud.

LanguageEnglish
Pages169-178
Number of pages10
JournalProgress of Theoretical Physics Supplement
Volume166
DOIs
Publication statusPublished - 1 Jan 2007
Externally publishedYes

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atoms
electrons
orbits
rubidium
Bose-Einstein condensates
condensates
superlattices
chaos
temperature gradients
electromagnetic radiation
switches
signatures
trajectories
photonics
electric potential
silicon
room temperature
magnetic fields
crystals

Cite this

Judd, T. E., Henning, A., Hardwick, D. P. A., Scott, R. G., Balanov, A. G., Wilkinson, P. B., ... Fromhold, T. M. (2007). Chaotic Transport in Semiconductor, Optical, and Cold-Atom Systems. Progress of Theoretical Physics Supplement, 166, 169-178. https://doi.org/10.1143/PTPS.166.169
Judd, T. E. ; Henning, A. ; Hardwick, D. P.A. ; Scott, R. G. ; Balanov, A. G. ; Wilkinson, P. B. ; Fowler, D. ; Martin, A. M. ; Fromhold, T. M. / Chaotic Transport in Semiconductor, Optical, and Cold-Atom Systems. In: Progress of Theoretical Physics Supplement. 2007 ; Vol. 166. pp. 169-178.
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Judd, TE, Henning, A, Hardwick, DPA, Scott, RG, Balanov, AG, Wilkinson, PB, Fowler, D, Martin, AM & Fromhold, TM 2007, 'Chaotic Transport in Semiconductor, Optical, and Cold-Atom Systems', Progress of Theoretical Physics Supplement, vol. 166, pp. 169-178. https://doi.org/10.1143/PTPS.166.169

Chaotic Transport in Semiconductor, Optical, and Cold-Atom Systems. / Judd, T. E.; Henning, A.; Hardwick, D. P.A.; Scott, R. G.; Balanov, A. G.; Wilkinson, P. B.; Fowler, D.; Martin, A. M.; Fromhold, T. M.

In: Progress of Theoretical Physics Supplement, Vol. 166, 01.01.2007, p. 169-178.

Research output: Contribution to journalArticle

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