Research

From a few particles to quantum matter.

My academic research focuses on developing novel computational methods for quantum many-body systems, with applications ranging from ultracold atomic gases to neutron star physics. Through my PhD at UNC-Chapel Hill, I have contributed to advancing our understanding of quantum matter through innovative theoretical and computational approaches.

Research Areas

Quantum Many-Body Systems

PhD Research at UNC-Chapel Hill (2016-2022)

My primary research contribution has been the development of novel computational methods for simulating quantum matter, with particular focus on strongly correlated fermion systems.

Automated Algebra Method for Virial Expansion

  • Innovation: Created a semi-analytical computational framework that eliminates statistical errors in quantum many-body calculations
  • Impact: Achieved unprecedented accuracy in calculating higher-order virial coefficients (up to 5th order)
  • Technical Achievement: Implemented efficient algorithms using Python/Cython with multiprocessing and distributed computing on Open Science Grid
  • Breakthrough: Resolved long-standing discrepancies between theory and experiment in quantum gas thermodynamics

Key Accomplishments

  • Methodological Innovation: Developed scalable algorithms that reduced computation time from years to days for complex quantum calculations
  • Cross-disciplinary Impact: Methods applicable to both ultracold atomic gases and neutron star matter
  • International Collaboration: Worked with theoretical groups in Germany on quantum matter applications
  • Publications: 6 peer-reviewed papers including Editor’s Suggestion in Physical Review Letters

Machine Learning Applications in Physics

  • Physics-Informed Neural Networks: Explored ML-enhanced random field generation for quantum Monte Carlo methods
  • Transformer Models: Applied attention mechanisms to accelerate stochastic simulations
  • NLP in Scientific Computing: Developed event extraction methods for COVID-19 data analysis

Detailed Research Projects

Quantum virial expansion for quantum matter Aug, 2019 - Present
  • Develop a novel and analytical method to automate algebraic operation to evaluate the Quantum Virial Expansion
  • Implement codes and optimize performance for large-scale parallel deployment on Open Science Grid
  • Apply across multiple systems: homogeneous and harmonically trapped Unitary Fermi Gas, dilute neutron matter
  • Generalize to different observables: thermodynamics, Tan's contact, momentum distribution, structure factor and etc.
Energy of Bosonic droplets from quantum noise Jul, 2018 - May, 2019
  • Extracted ground-state energy of N-body Boson droplets from quantum noise using the cumulant expansion
Thermodynamics of quantum matter at finite temperature May, 2017 - Dec, 2018
  • Applied hybrid Quantum Monte Carlo (QMC) and Complex Langevin (CL) to extract thermodynamics for SU(N) Fermi gas
  • Introduced higher-order symplectic integrators to reduce decomposition errors
  • Investigated the improvements on sampling efficiencies of auxiliary fields
Numerical simulation of acoustic field Mar, 2015 - Jun, 2015
  • Simulated acoustic field propagation using Finite Difference Time Domain (FDTD) method
Flow of granular material in 2D hopper Sep, 2013 - May, 2014
  • Performed image registration, boundary detection to identify and analysis granular particle flow
  • Reconstructed the stress information from image intensities to study jamming-flowing phase transition

Teaching Experience

I have been Graduate Teaching Assistant for both undergraduate courses and graduate courses including:

  • PHYS 114 - General Physics for non-physics major, led workshop as Teaching Assistant
  • PHYS 118 - General Physics for physics major, led workshop as Teaching Assistant
  • PHYS 331 - Introductory numerical techniques in physics, led lab session and gave mini-lectures as Teaching Assistant
  • PhD qualification exam recitation - statistical physics, led recitation session as Instructor

Recognition & Awards

  • UNC Dissertation Completion Fellowship Aug 2021 - May 2022
    Competitive fellowship supporting dissertation completion and recognizing outstanding academic achievement
  • UNC Dean’s Graduate Fellowship in the College of Arts & Sciences May 2021
    Prestigious award for exceptional scholarly work and research contributions

This research demonstrates the development of innovative computational methods that advance our fundamental understanding of quantum many-body systems, with applications across condensed matter physics and beyond.