title: Manifestation of quantum-billiard eigenvalue statistics from subthreshold emission of vertical-cavity surface-emitting lasers.
abstract: We report that the subthreshold emission spectra of vertical-cavity surface-emitting lasers (VCSELs) can be analogously used to manifest the quantum-billiard energy spectra. The Fourier-transformed distributions of the subthreshold emission spectra are demonstrated to display various peak structures that are in good agreement with the results of the quantum-billiard model. We also verify that the statistical analyses of the nearest-neighbor eigenvalue spacing distributions obey a Poisson distribution for an equilateral-triangular device and a Wigner distribution for a stadium-shaped device.
authors.affiliation: Department of Electrophysics, National Chiao Tung University, 1001 Ta-Huseh Road, Hsinchu 30050, Taiwan. yfchen@cc.nctu.edu.tw
authors.forename: Y F
authors.initials: YF
authors.lastname: Chen
authors.forename: Y T
authors.initials: YT
authors.lastname: Yu
authors.forename: P Y
authors.initials: PY
authors.lastname: Chiang
authors.forename: P H
authors.initials: PH
authors.lastname: Tuan
authors.forename: Y J
authors.initials: YJ
authors.lastname: Huang
authors.forename: H C
authors.initials: HC
authors.lastname: Liang
authors.forename: K F
authors.initials: KF
authors.lastname: Huang