Zhuan Li

PhD candidate in Condensed Matter Physics

University of Pittsburgh, Pittsburgh

Biography

Zhuan is a fourth-year Ph.D. student at the University of Pittsburgh under the supervision of Prof. Roger Mong. He is broadly interested in condensed matter theory, especially the topological phase of matter and its potential application to quantum computing. His current Ph.D. project aims to detect the topological order in a mixed state and apply the result to quantum error correcting codes.

Before joining UPitt, Zhuan studied physics at the University of Chinese Academy of Sciences, China (BSc). During his undergraduate study, he worked on low-rank approximation algorithms based on the tensor network under the supervisor of Prof. Pan Zhang, Institute of Theoretical Physics, Chinese Academy of Sciences.

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Interests

Topological phase of matter
Tensor network algorithm
Quantum error correction
Quantum information
Josephson parametric amplifier
Random matrix theory

Education

PhD in Condensed Matter Physics, 2024
University of Pittsburgh, Pittsburgh, PA
BSc in Physics, 2019
University of Chinese Academy of Sciences, China
Visiting student, 2018
University of Bristol, UK

Experience

PhD student

University of Pittsburgh

Sep 2019 – Present Pittsburgh, PA, USA

PhD in Physics. Study topological order and tensor network under the supervision of Prof. Roger Mong.

Visiting student

University of Bristol

Jan 2018 – Jun 2018 Bristol, UK

Visiting student

Institute of Theoretical Physics, Chinese Academy of Sciences

Jun 2017 – Jan 2018 Beijing, China

Study low-rank approximation algorithms on tensor networks under the supervision of Prof. Pan Zhang.

BSc in Physics

University of Chinese Academy of Sciences

Sep 2015 – Jul 2019 Beijing, China

Activities

Teaching

I have been a Teaching Assistant at University of Pittsburgh for the following course:

PHYS 0212 Introduction to laboratory physics, Fall 2019
PHYS 0212 Introduction to laboratory physics, Spring 2020,
PHYS 0111 Introduction to physics 2, Summer 2020
PHYS 0212 Introduction to laboratory physics, Spring 2021,
PHYS 0212 Introduction to laboratory physics, Spring 2022,

Conferences, Schools and Events

I have given contributed talks on the following conferences:

2022 APS March Meeting (Chicago)
- Contributed talk. Title: Detecting topological order from modular transformations of ground states on the torus.
2023 APS March Meeting (Las Vegas)
- Contributed talk. Title: Estimating the reflected entropy from random matrices.

Scholarships and Grants

2022 Thomas-Lain essay competition.

Projects

Last updated on Jan 26, 2023

Tensor network and the entanglment of purification

In quantum mechanics, the state of a system is represented by a wave function, which can be thought of as a complex-valued tensor. This tensor usually has a large number of indices, making it difficult to manipulate and compute.

Last updated on Jan 25, 2023

Topological order on a torus

After the discovery of the Fractional Quantum Hall eﬀect, more and more bizarre phases of matter that cannot be described by the Landau-Ginzburg symmetry-breaking paradigm were found. Instead of normal order parameters, these phases are characterized by robust ground state degeneracy, nontrivial particle statistics, and gapless edge excitations.

Last updated on Jan 26, 2023

ϕ0-Josephson junction

A Josephson junction is a superconducting electronic device consisting of two superconducting electrodes separated by a thin insulating barrier. Current can flow through this junction without any resistance and is called the supercurrent.

Publications

Zhuan Li, Roger Mong (2022). Detecting topological order from modular transformations of ground states on the torus. Phys. Rev. B.

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Bomin Zhang, Zhuan Li, Sergey Frolov (2022). Evidence of φ0-Josephson junction from skewed diffraction patterns in Sn-InSb nanowires.

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