Herzberg-Teller coupling in coherent multidimensional spectroscopy: analytical response functions for multilevel systems
- URL: http://arxiv.org/abs/2601.09346v1
- Date: Wed, 14 Jan 2026 10:22:51 GMT
- Title: Herzberg-Teller coupling in coherent multidimensional spectroscopy: analytical response functions for multilevel systems
- Authors: Filippo Troiani,
- Abstract summary: Coherent multidimensional spectroscopy enables detailed investigations of vibronic effects in molecular and solid-state systems.<n>We present explicit analytical expressions for multidimensional nonlinear response functions in the presence of Herzberg-Teller (non-Condon) coupling.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Coherent multidimensional spectroscopy enables detailed investigations of vibronic effects in molecular and solid-state systems. We present explicit analytical expressions for multidimensional nonlinear response functions in the presence of Herzberg-Teller (non-Condon) coupling, within the displaced harmonic oscillator model. The formulation applies to electronic systems with an arbitrary number N of electronic states and to response functions of arbitrary order M in the light-matter interaction. We show that Herzberg-Teller coupling introduces additional oscillatory factors in the time-domain response functions, leading, upon Fourier transformation, to replicas of the Franck-Condon multidimensional spectra shifted by integer multiples of the vibrational frequencies. The present results provide a general analytical framework for the interpretation of non-Condon effects in coherent multidimensional spectroscopies.
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