Publications · What's next
Published and ongoing work, followed by where it's headed next.
Growth of Krylov complexity in quantum systems with time-dependent Hamiltonians, with approximation methods for periodically driven and general non-periodic dynamics when exact solutions aren't available.
Graduate thesis, supervised by Dr. A. F. Astaneh. Introduces a notion of quantum complexity built on the local renormalization group, general across dimensions and field theories, and shows its compatibility with path-integral complexity in two dimensions. Complexity and optimized spacetime geometry are worked out for free and self-interacting scalar fields.
With Dr. M. R. Rahimi Tabar, Dr. A. Rezakhani, and collaborators. A quantum-information–inspired framework for multivariate time series, encoding system states as density matrices and using fidelity and entropy to quantify interdependence and recovery timescales, validated on a 9-dimensional Lorenz-96 model and applied to global temperature anomaly data.
Supervised by Dr. S. Rahvar. Models FRBs as sudden discharges of accumulated charge in the accretion disks of compact objects, with Compton scattering forming a capacitor-like system stabilized by radiation pressure. Predictions are compared against observational data (FRB20180725A).
Where this is headed next.