All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Physical Review B

Volume

84

Issue

6

Publication Date

8-31-2011

First Page

064308-1

Last Page

064308-8

DOI

10.1103/PhysRevB.84.064308

Abstract

Starting from the quantum-mechanical Fano-Anderson Hamiltonian, we derive classical equations of motion for coordinates associated with the discrete and continuum states. The frequency-dependent absorption spectrum associated with this classical system exhibits the same Fano line shape as the quantum-mechanical system when appropriate correspondences between classical and quantum variables are made. In the time domain, the response of this classical Fano oscillator depends upon the asymmetry parameter q that appears in the expression for the Fano line shape. In particular, under the influence of impulsive driving of the system, the discrete oscillator's phase changes by ±π/2 as q increases from zero (maximum asymmetry in the frequency domain) to ∓∞ (minimum asymmetry). Previously published ultrafast-laser-pulse-driven coherent-phonon oscillations in degenerate p-type Si [ K. Kato et al. Jpn. J. Appl. Phys. 48 100205 (2009)] are discussed in light of these theoretical results.

Comments

Published by American Physical Society in Physical Review B. Publisher PDF is available for download through link above.

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