Spectral statistics of pointer states in open quantum dots

R. Akis, D. K. Ferry

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Pointer states are thought to control the relationship between quantum system properties and the classical results of measurement. In open quantum dots, they yield measurable conductance resonances. We study the energy level spacing statistics in a perturbed stadium dot, which, when closed, follow the Wigner distribution associated with chaos. In contrast, when the stadium is opened so that only the pointer states localized in the interior remain, the distribution becomes Poissonian, indicating that these states are intimately associated with the regular classical orbits.

Original languageEnglish (US)
Pages (from-to)460-463
Number of pages4
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume34
Issue number1-2
DOIs
StatePublished - Aug 2006

Fingerprint

Stadiums
dials
Semiconductor quantum dots
quantum dots
Statistics
statistics
Chaos theory
Electron energy levels
chaos
Orbits
energy levels
spacing
orbits

Keywords

  • Quantum chaos
  • Quantum dots
  • Quantum transport

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Spectral statistics of pointer states in open quantum dots. / Akis, R.; Ferry, D. K.

In: Physica E: Low-Dimensional Systems and Nanostructures, Vol. 34, No. 1-2, 08.2006, p. 460-463.

Research output: Contribution to journalArticle

@article{04ab4ea1aee94d2dace73786304ab080,
title = "Spectral statistics of pointer states in open quantum dots",
abstract = "Pointer states are thought to control the relationship between quantum system properties and the classical results of measurement. In open quantum dots, they yield measurable conductance resonances. We study the energy level spacing statistics in a perturbed stadium dot, which, when closed, follow the Wigner distribution associated with chaos. In contrast, when the stadium is opened so that only the pointer states localized in the interior remain, the distribution becomes Poissonian, indicating that these states are intimately associated with the regular classical orbits.",
keywords = "Quantum chaos, Quantum dots, Quantum transport",
author = "R. Akis and Ferry, {D. K.}",
year = "2006",
month = "8",
doi = "10.1016/j.physe.2006.03.017",
language = "English (US)",
volume = "34",
pages = "460--463",
journal = "Physica E: Low-Dimensional Systems and Nanostructures",
issn = "1386-9477",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Spectral statistics of pointer states in open quantum dots

AU - Akis, R.

AU - Ferry, D. K.

PY - 2006/8

Y1 - 2006/8

N2 - Pointer states are thought to control the relationship between quantum system properties and the classical results of measurement. In open quantum dots, they yield measurable conductance resonances. We study the energy level spacing statistics in a perturbed stadium dot, which, when closed, follow the Wigner distribution associated with chaos. In contrast, when the stadium is opened so that only the pointer states localized in the interior remain, the distribution becomes Poissonian, indicating that these states are intimately associated with the regular classical orbits.

AB - Pointer states are thought to control the relationship between quantum system properties and the classical results of measurement. In open quantum dots, they yield measurable conductance resonances. We study the energy level spacing statistics in a perturbed stadium dot, which, when closed, follow the Wigner distribution associated with chaos. In contrast, when the stadium is opened so that only the pointer states localized in the interior remain, the distribution becomes Poissonian, indicating that these states are intimately associated with the regular classical orbits.

KW - Quantum chaos

KW - Quantum dots

KW - Quantum transport

UR - http://www.scopus.com/inward/record.url?scp=33746384881&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746384881&partnerID=8YFLogxK

U2 - 10.1016/j.physe.2006.03.017

DO - 10.1016/j.physe.2006.03.017

M3 - Article

AN - SCOPUS:33746384881

VL - 34

SP - 460

EP - 463

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

SN - 1386-9477

IS - 1-2

ER -