Whispering gallery modes in open quantum billiards
- 22 October 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (5), 056214
- https://doi.org/10.1103/physreve.64.056214
Abstract
The poles of the S matrix and the wave functions of open two-dimensional quantum billiards with convex boundary of different shape are calculated by using the method of complex scaling. Two leads are attached to the cavities. The conductance of the cavities is calculated at energies with one, two, and three open channels in each lead. Bands of overlapping resonance states appear that are localized along the convex boundary of the cavities and contribute coherently to the conductance. These bands correspond to the whispering gallery modes known from classical calculations.Keywords
This publication has 16 references indexed in Scilit:
- Effect of evanescent modes and chaos on deterministic scattering in electron waveguidesPhysical Review E, 2001
- The statistical theory of quantum dotsReviews of Modern Physics, 2000
- Modular recursive Green’s function method for ballistic quantum transportPhysical Review B, 2000
- Spectroscopic studies in open quantum systemsPhysical Review E, 2000
- Semiclassical transport in a square billiard: Conductance oscillations as probe of coherence lengthPhysical Review B, 2000
- Collective modes in an open microwave billiardPhysical Review E, 2000
- Aharonov-Bohm effect and resonances in the circular quantum billiard with two leadsPhysical Review B, 1999
- Gauge-invariant theory for semiclassical magnetotransport through ballistic microstructuresPhysical Review B, 1999
- Interfering resonances in a quantum billiardPhysical Review E, 1998
- Random-matrix theory of quantum transportReviews of Modern Physics, 1997