My current research tools include theoretical and computational quantum physics, statistics, and statistical pattern recognition techniques.
Atomically resolved diffractive imaging using hard X-ray sources such as Free Electron Laser (FEL) sources, involves the interaction of high-energy photons with matter. I am developing a unified theoretical & computational framework to describe the nonequilibrium quantum dynamics that ensues.
Applications range from molecular single-particle imaging to chip diagnostics.
Entangled photons, characterized by non-classical mode correlations, enable the probing of molecular properties in novel spectral-temporal regimes. I am extending the theory of multidimensional spectroscopy to accommodate correlated photonic fields and interferometric schemes.
Applications are aimed at exploring molecular-scattering and ionization processes.
Quantum information processors acts as application-specific hardware modules which are better at finding statistical patterns in the data. I am currently developing a set of quantum algorithm-based workflows that are integrated with classical pre-processing, including feature sampling.
Current applications are aimed at microscopy datasets.
Nonlinear optical spectroscopies can probe correlated material dynamics in the time and/or frequency domain. I am integrating machine learning algorithms with the theory of spectroscopy to enable dynamic decision making at the level of pulse shaping and interferometric detection.
Near-term applications involve autonomous monitoring quantum transport of excitons.
Tailored electromagnetic fields, via both transverse and longitudinal components, can alter the electronic interactions at the nanoscale. I am developing low-latency optimization algorithms for generation of such electromagnetic potentials.
Current applications are limited to cavity control of Frenkel excitons for designing efficient light-harvesting systems.
Interacting vibrational modes in a plasmonic environment can display guided, non-statistical energy dispersal. They can be leveraged for catalysis. I am interested in developing low-energy optical probes that can characterize these catalytic enhancements.
Current focus is limited to characterizing reaction kinetics using Raman spectroscopy-based probes.
The simulation of nonlinear quantum response functions, simultaneously accounting for decoherence and laser driving, is computationally challenging. I am developing numerical algorithms for the efficient computation of response functions from driven-dissipative kinetic equations.
Early applications are limited to laser-driven multi-exciton dynamics in molecular systems.
Open-loop control algorithms often avoid treating laser driving and dissipation on an equal footing. Using the notion of field-dressed spectral functions, I am extending current control techniques. This approach may serve as an efficient estimator of operational quantum errors and guide mitigation protocols.
Applications are focused on superconducting processors.