Instability, symmetry, and topology/geometry

Yu-Ping Lin (林育平)

Senior Scientist - Quantum Chemistry

IonQ, Inc., USA

About Me

I am a theoretical condensed matter physicist and computational scientist with expertise in quantum materials and quantum many-body physics. Previously, I was a Gordon and Betty Moore Postdoctoral Fellow in the Department of Physics at the University of California, Berkeley. I received my Ph.D. in Physics from the University of Colorado Boulder, and my M.S. and B.S. in Physics, with a Minor in Mathematics, from National Taiwan University.

This website is dedicated to my personal research in theoretical condensed matter physics and quantum materials. See the CV page for additional details about my background.

Google Scholar

NASA ADS

GitHub

Research Expertise

As a theoretical condensed matter physicist, I study quantum materials and quantum many-body systems shaped by electronic correlations, symmetry, topology and geometry, and nonequilibrium dynamics. My approach combines theoretical modeling, analytical calculations, and large-scale numerical computation to understand emergent phases of interacting electrons and their physical responses.

My research has explored strongly correlated systems, unconventional symmetry breaking, ultrafast dynamics, band topology and quantum geometry, and frustrated quantum materials. I am particularly excited about connecting seemingly disparate ideas to develop new frameworks for understanding quantum matter.

More broadly, I am interested in emerging approaches that connect fundamental theory, first-principles computation, machine learning, AI-assisted scientific workflows, and experiment to accelerate discovery in quantum materials.

See the Research page if you are interested in more details, and the Publications page for a complete list of my work!

CMTKit: Condensed Matter Theory Toolkit

Since my postdoctoral stint at UC Berkeley, my research has involved various numerical computations of quantum many-body systems. To manage the codes for different projects harmoniously, I built my own python library, CMTKit, for versatile computations in theoretical condensed matter physics. CMTKit is a scientific Python library for quantum materials and many-body lattice models. It is built upon fundamental scientific Python libraries, such as numpy, scipy, and sparse for matrix and tensor computations, as well as matplotlib (2D) and mayavi (3D) for graphics. This library supporteds broad exploration into various quantum many-body systems for diverse 1D, 2D, and 3D quantum materials.

The main features of my library include:

Public repository on GitHub
Wide applicability on arbitrary 1D to 3D lattices and Fermi-Hubbard models [Paper]
Computation of band structures and superconducting/spin/charge ordered states:
- Mean field: Hartree-Fock(-Bogoliubov) theory [Paper]
- Dynamics: Time-dependent Hartree-Fock(-Bogoliubov) theory [Paper]
- Beyond mean field: Functional renormalization group (RG) [Reference]
- Classical Monte Carlo: Spin systems
Tensor network methods for strongly correlated quantum systems:
- Essential tools for tensor networks, including a direct contraction of arbitrary diagrams
- Multiscale entanglement renormalization ansatz (MERA) [Reference]
3D visualization of lattices and superconducting/spin/charge ordered states [Paper]

Demo: Altermagnetism on a honeycomb lattice

This figure of odd-parity altermagnetism (Phys. Rev. Lett. 137, 066702 (2026)) demonstrates the computational and graphical capabilities in my package. The upper figures show (left) the Haldane model with charge currents on the honeycomb lattice, as well as (right) its altermagnetic ground state under repulsive interaction obtained by the Hartree-Fock theory. The lower figures show (left) the band structures with spin splitting and (right) the splitting energy map of the lower two occupied bands in the Brillouin zone.

Recent talk

Check out my talk at a Rice zoom seminar series for some of my research topics!

Recent News

<July 2026> Our work "Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices" with Marc has been posted in Physical Review Letters as an Editors' Suggestion!
<July 2026> Our work "Shiba duality and η-altermagnetism: Pairing and charge orders in bipartite attractive Hubbard models" has been posted on arXiv!
<August 2025> I have started a new position as Senior Scientist - Quantum Chemistry at IonQ!
<March 2025> I have given a talk "Sublattice imbalance in quantum materials: Sublattice polarization and odd-parity altermagnetism" at APS March Meeting, American Physical Society, Anaheim, CA, USA!
<February 2025> I have given a talk "Correlated phases and ultrafast optical control in kagome quantum materials" at Physics Colloquium, University of Texas at Dallas, Richardson, TX, USA!

See more news here!