Edge-magnetoplasmon wave-packet revivals in the quantum-Hall effect
- Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)
- Department of Physics, Colby College, Waterville, Maine 04901 (United States)
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. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 560707
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 55, Issue 15; Other Information: PBD: Apr 1997
- Country of Publication:
- United States
- Language:
- English
Similar Records
Can Wave Packet Revivals Occur in Chaotic Quantum Systems?
Edge transport properties of the fractional quantum Hall states and weak-impurity scattering of a one-dimensional charge-density wave