Pavel Malý, Xiaoji G Xu, Tomáš Mančal
Advances in multidimensional spectroscopy have seen the rise of action detection, where the coherent response is encoded into incoherent signals. These are typically proportional to the excited-state population. Examples include fluorescence-detected 2D electronic spectroscopy (F-2DES) and tag-loss 2D infrared spectroscopy (TL-2DIR). Very recently, a new type of photothermal action signal has been introduced in 2DIR, detecting the generated heat by atomic force microscopy-based 2DIR (AFM-2DIR). We present a unified theoretical framework for population- and heat-based 2D spectroscopy, highlighting their complementary features. In the infrared, TL-2DIR reflects the system's linear response, whereas AFM-2DIR produces spectra resembling conventional 2DIR, with sensitivity to anharmonicity and mode coupling. Our model reproduces key experimental AFM-2DIR features, confirming measurement in a highly nonlinear regime. Extending photothermal detection to electronic spectroscopy, we compare F-2DES with proposed photothermal 2DES (PT-2DES). PT-2DES closely resembles conventional 2DES, while enjoying the advantages of action detection.