Zhen Huang (黄桢)
I'm currently a graduate student in Department of Mathematics, University of California, Berkeley, supervised by Prof. Lin Lin.
My research goal is to develop numerical (and occasionally, mathematical) methods for studying quantum many-body problems.
I am applying for postdoc positions this Fall.
Research Interests
My research focuses on developing fast and robust numerical algorithms in condensed matter physics and quantum chemistry. The long-term goal is to work towards increasingly realistic simulations of quantum materials by continually advancing computational techniques and mathematical modeling.
My current research is strongly motivated by various physics topics, such as strongly correlated electrons, 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.
Publications and Preprints
See also Google Scholar.
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Coupled Lindblad pseudomode theory for simulating open quantum systems.
Zhen Huang, Gunhee Park, Garnet Kin-Lic Chan, Lin Lin. [arXiv] -
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] -
Unified analysis of non-Markovian open quantum systems in
Gaussian environment using superoperator formalism.
Zhen Huang, Lin Lin, Gunhee Park, Yuanran Zhu. [arXiv] -
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] -
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] -
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]. -
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] -
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] -
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] -
Revealing excited states of rotational Bose-Einstein Condensates.
Jianyuan Yin, Zhen Huang, Yongyong Cai, Qiang Du, Lei Zhang. The Innovation 5 (1).[journal] -
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] -
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
- Adapol: Adaptive pole fitting for quantum many body physics. See documentation and github.
Other works
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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
- Exact simulation of non-Markovian quantum systems with reduced cost: quasi-Lindblad formalism, November 2024, [PDF].
- Fast imaginary-time Feynman diagrams evaluation and robust bath fitting, July 2024, [PDF].
- Robust analytic continuation methods for Green's functions, March 2023, [PDF].
- Nonadiabatic dynamics and surface hopping on metal surfaces, 2022, [PDF].
Teaching experiences
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
hertz at math dot berkeley dot eduDepartment 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.