Zhen Huang（黄桢）

PhD Candidate, Mathematics, UC Berkeley | Applied Math & Quantum Many-body Physics

Zhen Huang
Pronunciation of my name

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

I am applying for postdoc positions this Fall. Here is my CV. See also my research page.

I am also currently one of the moderators for the Math290 quantum many body seminar. Contact me if you would like to give a 40-min tutorial talk or 20-min research update talk in our seminar.

Contact: hertz at math dot berkeley dot edu

Research Interests

One of the most fundamental problems in physics and chemistry is to understand quantum matter at the many-body level. My research aims to develop low-scaling, high-accuracy computational tools that can calculate and predict properties of correlated matter in and out-of-equilibrium. This direction lies at the intersection of applied mathematics, condensed matter physics, and quantum chemistry. My long-term goal is to work towards increasingly realistic simulations of quantum materials by advancing computational techniques, mathematical modeling, and high-performance computing. Such developments have immediate impacts on applications ranging from novel materials design to quantum computing.

Recently I have worked on dynamical mean-field theory, quantum embedding, non-Markovian open quantum systems, many-body Green’s functions and electronic structure theory. The computational challenges arising from these areas span various computational topics, including (randomized) numerical linear algebra, rational approximation, ill-posed inverse problems, and high-dimensional partial differential equations.

Read here for more details.

Electron correlation

Publications and Preprints

See also Google Scholar.

  1. Coupled Lindblad pseudomode theory for simulating open quantum systems.
    Zhen Huang, Gunhee Park, Garnet Kin-Lic Chan, Lin Lin. [arXiv]
  2. Automated evaluation of imaginary time strong coupling diagrams by sum-of-exponentials hybridization fitting.
    Zhen Huang, Denis Golež, Hugo U. R. Strand, Jason Kaye. [arXiv]
  3. Unified analysis of non-Markovian open quantum systems in Gaussian environment using superoperator formalism.
    Zhen Huang, Lin Lin, Gunhee Park, Yuanran Zhu. [arXiv]
  4. Real-time propagation of adaptive sampling selected configuration interaction wave function.
    Avijit Shee, Zhen Huang, Martin Head-Gordon, K. Birgitta Whaley. The Journal of Chemical Physics 162.12, 2025 [journal]
  5. Renormalization of States and Quasiparticles in Many-body Downfolding.
    Annabelle Canestraight, Zhen Huang, Lin Lin, and Vojtech Vlcek. J. Chem. Phys., 163, 024114 (2025) [journal]
  6. 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, 2024 [journal].
  7. 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]
  8. 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]
  9. 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]
  10. Revealing excited states of rotational Bose-Einstein Condensates.
    Jianyuan Yin, Zhen Huang, Yongyong Cai, Qiang Du, Lei Zhang. The Innovation 5 (1).[journal]
  11. 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]
  12. 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]

Open Software

I am committed to building open-source software that is user-friendly, well-documented, and implements state-of-the-art algorithms.

  1. triqs_xca: Generic multiband impurity solver based on hybridization expansion. Highlights are multi-band, beyond low-order diagrams, and fast deterministic evaluation through optimal compression and parallelization. See documentation and github.
    • Core developer. With J. Kaye, H. Strand and D. Golez.
    • Stay tuned for a further improvement employing sparsity, led by P. Rilloraza, J. Kaye and H. Strand.
  2. Adapol: Adaptive pole fitting for quantum many body physics. See documentation and github.
    • - Core developer. With C. Yeh, L. Lin, J. Kaye, N. Wentzell.

Selected Talk Slides

Slides from recent talks and seminars:

  1. Towards exact real-time simulations of quantum impurities, April 2025, [PDF].
  2. Efficient and physical pseudomode theory for non-Markovian open quantum systems, March 2025, [PDF]
  3. Fast imaginary-time Feynman diagrams evaluation and robust bath fitting, July 2024, [PDF].
  4. Robust analytic continuation methods for Green's functions, March 2023, [PDF].
  5. Nonadiabatic dynamics and surface hopping on metal surfaces, 2022, [PDF].

Teaching and Mentoring

If you are a student interested in numerical methods for quantum many body physics and quantum chemistry, feel free to drop me a line.

Contact

Email: hertz at math dot berkeley dot edu

I'm also affiliated with the Mathematics Group of the Applied Mathematics and Computational Research Division at LBL.



© 2025 Zhen Huang