Inverting pump-probe spectroscopy for state tomography of excitonic systems

TL;DR

This paper introduces a two-step method to directly reconstruct the excited state density matrix of molecular systems from ultrafast spectroscopy data, bypassing traditional Hamiltonian parameter estimation.

Contribution

It presents a novel inversion protocol combining deconvolution and quantum state reconstruction for ultrafast spectroscopy experiments.

Findings

Analytical and numerical demonstration on a dimer system

Feasibility analysis for larger molecular aggregates

Provides an alternative to Hamiltonian-based dynamic modeling

Abstract

We propose a two-step protocol for inverting ultrafast spectroscopy experiments on a molecular aggregate to extract the time-evolution of the excited state density matrix. The first step is a deconvolution of the experimental signal to determine a pump-dependent response function. The second step inverts the quantum state of the system from this response function, given a model for how the system evolves following the probe interaction. We demonstrate this inversion analytically and numerically for a dimer model system, and evaluate the feasibility of scaling it to larger molecular aggregates such as photosynthetic protein-pigment complexes. Our scheme provides a direct alternative to the approach of determining all Hamiltonian parameters and then simulating excited state dynamics.