About
I am a PhD student at the School of Science, University of Example, advised by Prof. Advisor One and Dr. Advisor Two.
Prior to this, I obtained a BSc degree with First Class Honours in Natural Science from the University of Example.
My current research focuses on investigating the mathematical principles of natural philosophy.
Selected Publications
View All →Algorithmic Complexity of Tensor Network Contractions in Many-Body Localization
Jiale Liu, Ada Lovelace†
Physical Review E
Complexity analysis of tensor network contractions in MBL systems, identifying a complexity phase transition and proposing an adaptive algorithm.
Numerical Stability Analysis of High-Order Runge-Kutta Methods in Quantum Dynamics
Jiale Liu, Sarah O'Connor†
Journal of Computational Physics
A rigorous analysis of numerical stability boundaries for high-order Runge-Kutta integrators in the context of time-dependent quantum mechanics.
Monte Carlo Simulations of Phase Transitions in 2D Ising Models on Non-Euclidean Lattices
Charlie Brown, Jiale Liu†
2023 International Conference on Computational Physics (ICCP)
Monte Carlo study revealing mean-field-like phase transitions and critical exponent deviations for Ising models on hyperbolic non-Euclidean lattices.
News
Our work has been accepted by a prestigious journal 🎉
Starting my PhD at the University of Example