My current research tools include theoretical and computational quantum physics and statistical pattern recognition techniques.
Entangled photons, characterized by nonclassical correlations between photonic modes, enable the probing of molecular properties in novel spectral-temporal regimes. I am extending the theory of multidimensional nonlinear spectroscopy to accommodate correlated photonic fields and interferometric detection schemes. Both extensions concern the detection of many-particle properties.
Early applications aim to explore their role in quasiparticle scattering and low-energy molecular ionization processes.
Atomically resolved diffractive imaging using hard X-ray sources, such as Free Electron Lasers (FELs), involves the interaction of high-energy photons with matter. I am developing a theoretical and computational framework to describe the ensuing nonequilibrium quantum dynamics. It will be merged with theories of signal reconstruction and physics-informed ML for diffraction data.
Applications are focused on biomolecular single-particle imaging and pattern formation for chip design.
Quantum information processors may act as application-specific hardware modules that are better at identifying statistical patterns in data. I am currently developing a set of quantum algorithm-based workflows integrated with classical pre-processing, including advanced feature sampling. These workflows aim to enhance subsampled features from datasets.
Current applications focus on microscopy datasets relevant to tracking small molecules in scattering media.
Plasmon-enhanced interacting vibrational modes display guided energy dispersal. Since inelastic photon scattering involves energy exchange between optical modes mediated by material excitations, it can selectively amplify optical signal components. I am developing a quantum theory capable of accommodating both coherent control and metrology of these processes.
Current focus is on quantum-field Raman spectroscopy and imaging.
Nonlinear optical spectroscopies can probe correlated material dynamics in the time and/or frequency domain. I am integrating feedback-control-based, data-driven 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, discriminative monitoring of quantum transport of excitons.
Resource-efficient simulation techniques for nonlinear quantum response functions, simultaneously accounting for decoherence driving and detection sources, are required for fast yet accurate predictions during online learning and control. I am developing algorithms for the numerical computation for lower-order response functions.
Early applications are focused multi-qubit dynamics in presence of discrete fluctuations.
Tailored electromagnetic fields, via both transverse and longitudinal components, can alter electronic interactions at the nanoscale and on ultrafast timescales. I am developing optimization algorithms for generating electromagnetic fields that can amplify or suppress optical responses on demand.
Current applications are focused on cavity modification of excitons to help design efficient photon-harvesting systems.
Error characterization of quantum hardware requires a series of controlled measurements, yet open-loop control algorithms often neglect effects of external driving on dissipation. Using the notion of field-dressed spectral functions, I am developing efficient estimators of operational quantum errors and strategies for mitigating them.
Applications are focused on superconducting and neutral-atom-based processors.