Research & Theoretical Inquiry
My primary research sits at the intersection of theoretical many-body physics, classical continuum mechanics, and microscopic quantum transport theory.
I am interested in a single recurring question: how macroscopic order, coherent field-wave configurations, and phase structure emerge from microscopic, strongly nonlinear dynamics. Using careful spatial discretization and a rigorous treatment of continuum boundaries, I study the conditions under which local, phase-coherent rules knit together into stable, extended, repeating structure.
At the center of my current work is a research-grade, GPU-accelerated quasiclassical quantum transport framework for modeling how superconducting order parameters stabilize under realistic spatial inhomogeneity and rigid boundary conditions — the regime relevant to device-scale geometries such as thin films and nanoscale patterned structures. The solver is under active development, built on the discontinuous Galerkin finite-element approach of Finite element method for the quasiclassical theory of superconductivity, Kevin Marc Seja and Tomas Löfwander, Phys. Rev. B 106, 144511 (2022).
The confined-geometry regime is the reason this solver was developed. The concrete experimental target is Chiral Superfluid Helium-3 in the Quasi-Two-Dimensional Limit, Phys. Rev. Lett. 134, 136001 (2025): a nanofabricated 80 nm specular slab in which chiral ³He-A is stabilized down to D/ξ₀ = 1 with only minute gap suppression (specularity S > 0.97). This is a measured, quantitative benchmark — gap vs. D/ξ₀, near-bulk under specular walls — that a properly implemented, confined-geometry DG-FEM solver should be able to reproduce. Bringing the solver into full alignment with that method, and extending it to the matrix-valued, chiral triplet closure the confined ³He-A problem requires, is the present focus of the work; no results are being published until both are in place.
More broadly, this investigation echoes one of the foundational themes of modern physics: how an effective, organized macroscopic geometry can arise from microscopic dynamics.
By linking phase-coherent transport to emergent field organization in superconducting systems, I hope to sharpen the cross-disciplinary principles by which effective field-wave structures stabilize — drawing a line from the precise, almost austere rules of numerical transport theory to the emergence of macroscopic form.
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