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Phys. Rev. A 76, 021803(R) (2007) [3 pages]

Causal versus noncausal description of nonlinear wave mixing: Resolving the damping-sign controversy

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Shaul Mukamel
Department of Chemistry, University of California, Irvine, California 92697, USA

Received 19 June 2007; published 30 August 2007

Frequency-domain nonlinear wave mixing processes may be described either using response functions, whereby the signal is generated after all interactions with the incoming fields, or in terms of scattering amplitudes where all fields are treated symmetrically with no specific time ordering. Closed Green’s function expressions derived for the two types of signals have different analytical properties. The recent controversy regarding the sign of radiative damping in the linear (Kramers-Heisenberg) formula is put in a broader context.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.021803
DOI:
10.1103/PhysRevA.76.021803
PACS:
42.65.An, 32.80.−t, 42.50.Ct, 32.70.Jz