Zhen Huang (黄桢)

Profile Photo Pronunciation of my name

I'm currently a graduate student in Department of Mathematics, University of California, Berkeley, supervised by Prof. Lin Lin.

As an applied mathematician, I study quantum many-body systems from a theoretical and computational perspective. More precisely, my research focuses on the development of efficient and/or robust numerical algorithms, with applications to strongly correlated systems, quantum chemistry and condensed matter physics.

Research Interests

Here are some topics that I am working (have recently worked) on:

  • Theory and numerics of non-Markovian open quantum systems,
  • Many-body Green's functions (Feynman diagrams, analytic continuation, fast algorithm etc),
  • Quantum impurity solvers, quantum embedding theories,
  • Analysis and numerics in the semiclassical regime.

    • Publications and Preprints

    See also Google Scholar.

    1. Unified analysis of non-Markovian open quantum systems in Gaussian environment using superoperator formalism.
      Zhen Huang, Lin Lin, Gunhee Park, Yuanran Zhu. [arXiv]
    2. Real-time propagation of adaptive sampling selected configuration interaction wave function.
      Avijit Shee, Zhen Huang, Martin Head-Gordon, K. Birgitta Whaley. [arXiv]
    3. Quasi-Lindblad pseudomode theory for open quantum systems.
      Gunhee Park, Zhen Huang, Yuanran Zhu, Chao Yang, Garnet Kin-Lic Chan, Lin Lin. Physics Review B, 110, 195148, [journal].
    4. Decomposing imaginary time Feynman diagrams using separable basis functions: Anderson impurity model strong coupling expansion.
      Jason Kaye, Zhen Huang, Hugo U. R. Strand, Denis Golež. Physics Review X, 14, 031034, 2024.[journal]
    5. Stochastic Schrödinger equation approach to real-time dynamics of Anderson–Holstein impurities: An Open Quantum System Perspective.
      Zhen Huang, Limin Xu, Zhennan Zhou. Journal of Chemical Theory and Computation 20 (2), 946-962, 2024.[journal]
    6. Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation.
      Zhen Huang, Emanuel Gull, Lin Lin. Physics Review B 107, 075151, 2023.[journal], [arXiv]
    7. Revealing excited states of rotational Bose-Einstein Condensates.
      Jianyuan Yin, Zhen Huang, Yongyong Cai, Qiang Du, Lei Zhang. The Innovation 5 (1).[journal]
    8. Efficient Frozen Gaussian Sampling algorithms for nonadiabatic quantum dynamics at metal surfaces.
      Zhen Huang, Limin Xu, Zhennan Zhou. Journal of Computational Physics 474, 111771, 2023.[journal]
    9. Constrained High-Index Saddle Dynamics for the solution landscape with equality constraints.
      Jianyuan Yin, Zhen Huang, Lei Zhang. Journal of Scientific Computing 91 (2), 1-23, 2022.[journal]

    Software

    1. Adapol: Adaptive pole fitting for quantum many body physics. See documentation and github.

    Other works

    1. Appendix to Classical-Quantum Correspondence in Lindblad Evolution by Jeffrey Galkowski, Maciej Zworski.
      Zhen Huang, Maciej Zworski. [link]. See also the movie that we made.

    Talk slides

    1. Fast imaginary-time Feynman diagrams evaluation and robust bath fitting, July 2024, [PDF].
    2. Robust analytic continuation methods for Green's functions, March 2023, [PDF].
    3. Nonadiabatic dynamics and surface hopping on metal surfaces, 2022, [PDF].

    Teaching Experiences

  • Spring 2024: Directed reading program on stochastic analysis
  • Fall 2022: Math 53 (Multivariable calculus)
  • Fall 2021: Math 1A (Calculus)

    • Contact

    hertz at math dot berkeley dot edu
    Department of Mathematics, University of California, Berkeley
    I'm also affiliated with the Mathematics Group of the Applied Mathematics and Computational Research Division at LBL. See my page on the Mathematics Group website.