Fast light, slow light, and phase singularities: a connection to generalized weak values

Details Fast light, slow light, and phase singularities: a connection to generalized weak values Fast light, slow light, and phase singularities: a connection to generalized weak values

2003-10-07

arxiv.org/abs/quant-ph/0310048v1

Physics

Quantum Physics

9 pages, 4 figures, accepted in Physical Review Letters (2003)

Scientific paper

10.1103/PhysRevLett.92.043601

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.

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