Y. Tanimura et K. Okumura, FIRST-ORDER, 3RD-ORDER, AND 5TH-ORDER RESONANT SPECTROSCOPY OF AN ANHARMONIC DISPLACED OSCILLATORS SYSTEM IN THE CONDENSED-PHASE, The Journal of chemical physics, 106(6), 1997, pp. 2078-2095
We have obtained Nth-order response functions for a two-level system d
escribed by displaced anharmonic potential surfaces coupled to a heat
bath. The anharmonicity of the potentials has been taken into account
as a perturbation of harmonic potentials. The heat-bath was assumed to
be an ensemble of harmonic oscillators. Coupling between the two-leve
l system and the bath was assumed to be bilinear. The calculations wer
e done analytically using the Liouville-space generating functional, w
hich had been obtained by way of the path-integral approach. The respo
nse functions have been defined in terms of line-shape functions with
these line-shape functions being expressed in terms of the bath spectr
al density and the temperature. We have carried out model calculations
of the first-, third-, and fifth-order optical processes for various
parameters of anharmonicity to show that anharmonicity plays a minor r
ole in linear absorption, impulsive pump-probe, and photon echo experi
ments, but plays a major role, in some cases, in fifth-order two-dimen
sional resonant spectroscopy which is proposed in this paper. (C) 1997
American Institute of Physics.