Fast light, slow light, and phase singularities: a connection to generalized weak values
Abstract
We demonstrate that Aharonov-Albert-Vaidman (AAV) weak values have a direct relationship with the response function of a system, and have a much wider range of applicability in both the classical and quantum domains than previously thought. Using this idea, we have built an optical system, based on a birefringent photonic crystal, with an infinite number of weak values. In this system, the propagation speed of a polarized light pulse displays both superluminal and slow light behavior with a sharp transition between the two regimes. We show that this system's response possesses two-dimensional, vortex-antivortex phase singularities. Important consequences for optical signal processing are discussed.
Cite
@article{arxiv.quant-ph/0310048,
title = {Fast light, slow light, and phase singularities: a connection to generalized weak values},
author = {D. R. Solli and C. F. McCormick and R. Y. Chiao and S. Popescu and J. M. Hickmann},
journal= {arXiv preprint arXiv:quant-ph/0310048},
year = {2009}
}
Comments
9 pages, 4 figures, accepted in Physical Review Letters (2003)