Physics · Machine Learning · Scientific Computing

Qian-Rui Lee

PhD Student in Physics
Department of Physics, National Tsing Hua University

I work on theoretical and computational many-body physics and machine learning methods for physics, with particular interests in critical phenomena, quantum and geometric structures, generative models for scientific sampling, and efficient numerical methods.

Latest preprint

Channel concentration of critical quantum geometry

Qian-Rui Lee, Daw-Wei Wang · arXiv:2609.24905 [cond-mat.stat-mech]

Quantum many-body physics

Critical phenomena, exactly solvable models, quantum geometry, and structural descriptions of many-body systems.

Machine learning for physics

Generative modeling, Flow Matching, equivariant neural networks, and physically constrained learning architectures.

Geometric & mathematical physics

Hamiltonian general relativity, connection formulations, gauge structure, and geometric methods across field theory.

Scientific computation

GPU Monte Carlo, tensor and linear-algebra tooling, and reproducible numerical workflows for physics.

Selected publications & notes

All publications →

Selected research software

All software →

Channel Concentration Companion

Versioned code, data, and figure regeneration for the channel-concentration preprint.

quantum geometry · critical phenomena · reproducibility

Flow-to-Field

Flow Matching as a reusable, physically informed initializer for Monte Carlo simulations of many-body systems.

Flow Matching · MCMC · PyTorch · many-body physics

Lattice-gauge-equivariant-CNN

A modular lattice-gauge-equivariant CNN framework with U(1) and SU(2) demonstrations and explicit mathematical structure.

equivariance · lattice gauge theory · deep learning

Lattice-Field-MCMC-GPU

GPU-accelerated Markov-chain Monte Carlo notebooks for lattice field and spin models, including 2D phi^4, Ising, Potts, and XY systems.

GPU · MCMC · lattice field theory