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26 April 2024 |
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Edge-Magnetoplasmon Wave-Packet Revivals in the Quantum Hall Effect | | U. Zuelicke
; R. Bluhm
; V. A. Kostelecky
; A. H. MacDonald
; | | Date: |
6 Dec 1996 | | Journal: | Phys. Rev. B 55, 9800 (1997) | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall quant-ph | | Affiliation: | Indiana University-Bloomington, Colby College | | 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. | | Source: | arXiv, cond-mat/9612061 | | Services: | Forum | Review | PDF | Favorites | |
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