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Edge-magnetoplasmon wave-packet revivals in the quantum-Hall effect

1996/12/06 by U. Zuelicke, U. Zülicke, Robert Bluhm +4 · 10 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coulomb #Electron #Enhanced Data Rates for GSM Evolution #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Telecommunications #Wave packet #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.55.9800

published in Physical review. B, Condensed matter 55(15), 9800-9816 (American Physical Society) · 18 pages, RevTex, 7 figures and 2 tables included, Fig. 5 was originally 3Mbyte and had to be bitmapped for submission to archive; in the process it acquired distracting artifacts, to upload the better version, see http://physics.indiana.edu/~uli/publ/projects.html

arxiv created 1996/12/06 · openalex publication_date 1997/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The quantum-Hall effect is necessarily accompanied by low-energy excitations localized at the edge of a two-dimensional electron system. For the case of electrons interacting via the long-range Coulomb interaction, these excitations are edge magnetoplasmons. We address the time evolution of localized edge-magnetoplasmon wave packets. On short times the wave packets move along the edge with classical E cross B drift. We show that on longer times the wave packets can have properties similar to those of the Rydberg wave packets that are produced in atoms using short-pulsed lasers. In particular, we show that edge-magnetoplasmon wave packets can exhibit periodic revivals in which a dispersed wave packet reassembles into a localized one. We propose the study of edge-magnetoplasmon wave packets as a tool to investigate dynamical properties of integer and fractional quantum-Hall edges. Various scenarios are discussed for preparing the initial wave packet and for detecting it at a later time. We comment on the importance of magnetoplasmon-phonon coupling and on quantum and thermal fluctuations.

Citations