01Light–matter interaction
Cavity-modified chemistry
When molecules exchange energy coherently with a confined photon, the useful degrees of freedom become hybrid light–matter states.
I develop quantum-dynamics frameworks for molecular ensembles under strong coupling. The work connects microscopic models to linear and two-dimensional spectra, revealing polaron decoupling, long-lived polaritonic coherence, motional narrowing, and collective many-body behavior in vibrational strong coupling.
- Exciton–polaritons
- Vibrational strong coupling
- Cavity QED
- Collective coupling
02Reading molecular motion
Condensed-phase spectroscopy
Spectra are not only peaks. Their shapes, cross-peaks, and waiting-time evolution encode how molecules move and exchange energy.
I formulate response functions in terms of trajectory-based dynamics and design efficient strategies for computing linear and nonlinear spectra of systems inseparable from their fluctuating environments. Two-dimensional electronic spectroscopy provides a particularly direct view of coherence, coupling, and energy-transfer pathways.
- Linear absorption
- 2DES
- Response functions
- Lineshape analysis
Mixed quantum–classical dynamics & open quantum systems
The environment is not background noise. It controls decoherence, relaxation, transport, and the observables measured in spectroscopy.
I develop trajectory methods combining partial linearized density-matrix dynamics with Lindblad formalisms so that Markovian and non-Markovian dissipation can be handled in a common simulation. Related work explores spin mapping, polaron and Schrieffer–Wolff transforms, and reaction-coordinate mappings.
- PLDM
- Lindblad dynamics
- Mapping methods
- Structured baths
04Scaling the calculation
Numerical methods for quantum dynamics
A physical theory becomes useful only when its calculation remains accurate and affordable at the scale of the experiment.
I develop sparse propagation schemes, Chebyshev expansions, symmetry and unique-variable reductions, and high-performance implementations in Python, C++, and Julia. The objective is to retain the relevant quantum structure while making ensemble and nonlinear-spectroscopy calculations tractable.
- Chebyshev propagation
- HEOM
- HPC & GPU
- Machine learning