Research Topic: Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics

Collaborators: Zhi-Xuan Li, Shuai Yin, Zi-Xiang Li

We propose a theoretical framework that pins down ground-state phase diagrams and quantum criticality before the notorious fermion sign problem even sets in. Building on this idea, we solve the ground-state phase diagram of the SU(3) Hubbard model for the first time and uncover a new universality class.

Paper: arXiv preprint

Talks: Slides (Hangzhou, Nov 2024) | Poster (Xi'an, Apr 2024)

Undergraduate thesis: Thesis: Studies of sign problems in nonequilibrium quantum criticality | Defense slides | Defense recording


Journal Article: Nonequilibrium dynamics in Dirac quantum criticality

Collaborators: Zhi Zeng, Yu-Rong Shu, Zi-Xiang Li, Shuai Yin

Exploring quantum criticality of strongly correlated fermions, a formidable challenge in modern condensed matter physics, has never been approached from a nonequilibrium perspective until now. We pioneer this exploration in Dirac systems, revealing rich nonequilibrium critical phenomena and a universal scaling theory. We unveil new critical initial slip exponent, challenging existing paradigms of quantum criticality. We propose a groundbreaking theoretical framework for studying nonequilibrium quantum criticality in fermionic systems. Our work initiates a novel direction of strongly correlated fermions studies: nonequilibrium quantum criticality. These insights will inspire a series of nonequilibrium theoretical studies and may catalyze experiments in quantum computers.


Conference Talk: Nonequilibrium criticality of interacting Dirac fermions

Collaborators: Zhi Zeng, Zi-Xiang Li, Shuai Yin


Quantum Field Theory


Advanced Physics Laboratory (Fall 2022)


General Physics Laboratory (Spring 2022)


Electrodynamics (Spring 2022)


Quantum Mechanics (Spring 2022)


Mathematical Modeling


Machine Learning


Notes


Optics (Spring 2021)


CUPT College Physics Tournament (Fall 2020)


Selected Writings in Other Fields