Bath-induced stabilization of classical non-linear response in two dimensional infrared spectroscopy

• URL: http://arxiv.org/abs/2509.09476v1
• Date: Thu, 11 Sep 2025 14:00:27 GMT
• Title: Bath-induced stabilization of classical non-linear response in two dimensional infrared spectroscopy
• Authors: Rajesh Dutta, Mike Reppert,
• Abstract summary: We introduce a simple diagrammatic description analogous to that for open quantum systems.<n>We find that the bath-induced stabilization of both linear and nonlinear classical response functions depends sensitively on the nature of spectral density.<n>This approach may prove useful in describing real experimental systems at ambient temperatures.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Classical response functions have shown considerable promise in computational 2D IR modeling; however, a simple diagrammatic description, analogous to that for open quantum systems, has been lacking. While a promising diagrammatic approach has recently been introduced for isolated systems, the resulting nonlinear response functions remain unstable at long times, a characteristic feature of integrable classical systems. Here, we extend this framework to incorporate system-bath interactions under the weak-anharmonicity approximation and explore the resulting conditions for bath-induced stabilization. The resulting expression for the weakly anharmonic response function is remarkably simple and exhibits a one-to-one correspondence with the quantum counterpart in the $\hbar\to 0$ limit, offering potential computational advantages in extending the approach to large, multi-oscillator systems. We find that (to lowest order in anharmonicity) the bath-induced stabilization of both linear and nonlinear classical response functions depends sensitively on the nature of spectral density, particularly on the balance between low-frequency and high-frequency components. Application of this classical diagrammatic approach to 2D IR spectroscopy of the amide I band captures the characteristic population-time-dependent dynamics associated with spectral diffusion, suggesting that the approach may prove useful in describing real experimental systems at ambient temperatures.

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