Neural Canonical Transformations

Prof. Lei Wang (王磊), Institute of Physics, CAS
Wed, 2021-04-21 16:00 - 17:00
ZOOM: PIN: 632261

Canonical transformations play fundamental roles in simplifying and solving physical systems. However, their design and implementation can be challenging in the many-particle setting. Viewing canonical transformations from the angle of learnable diffeomorphism reveals a fruitful connection to normalizing flows in machine learning. The key issue is then how to impose physical constraints such as symplecticity, unitarity, and permutation equivariance in the flow transformations. In this talk, I will present the design and application of neural canonical transformations for several physical problems. Symplectic flow identifies independent and nonlinear modes of classical Hamiltonians and natural datasets. Fermi flow variationally solves ab initio many-electron problem at finite temperature.

Lei Wang got bachelor degree from Nanjing University in 2006 and PhD from Institute of Physics, Chinese Academy of Sciences in 2011. He did postdoctoral research on computational quantum physics at ETH Zurich in the next few years. Lei Wang joined Institute of Physics in 2016. His research interest is at the cross-section of deep learning and quantum many-body computation.

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