Adrian Liu

Adrian Liu

Undergraduate Student

Shanghai Jiao Tong University

Research Interests

Computational Physics
Mathematical Principles
Proof of Theorems

About

I am an undergrauate student at the School of Automation, Shanghai Jiao Tong University.

My current research focuses on embodied AI and World Model.

Selected Publications

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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

2025-11

Our work has been accepted by a prestigious journal 🎉

2025-09

Starting my PhD at the University of Example