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Vibrational response functions for multidimensional electronic spectroscopy in nonadiabatic models
1Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy.
This study derives analytical expressions for response functions, crucial for understanding nuclear and electronic dynamics in molecular and solid-state systems. The findings validate a theoretical approach for calculating these functions, essential for spectroscopy.
Area of Science:
- Quantum chemistry
- Spectroscopy
- Theoretical physics
Background:
- Nuclear and electronic dynamics are key to multidimensional electronic spectra.
- Response functions theoretically describe the interplay of these dynamics.
Purpose of the Study:
- Derive analytical expressions for response functions in model systems.
- Investigate the impact of electronic-vibrational coupling and nonadiabatic effects.
- Apply the method to third-order response functions for spectroscopic processes.
Main Methods:
- Utilize Dyson expansion of propagators with respect to nonadiabatic couplings.
- Expand propagators concerning displacements of harmonic oscillators.
- Derive analytical expressions for time integrals contributing to response functions.
Main Results:
- Analytical expressions for linear response functions are obtained.
- Third-order response functions for ground state bleaching, stimulated emission, excited state absorption, and double quantum coherence are derived.
- Convergence of the Dyson expansion series is demonstrated through comparison with numerical calculations.
Conclusions:
- The developed theoretical framework provides accurate analytical expressions for response functions.
- This method is applicable to various spectroscopic phenomena.
- The study confirms the convergence and utility of the Dyson expansion approach.
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