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Speaker: Yu-Hsueh Chen (National Taiwan University)
Time: August 1, 2022 13:00 – 14:00 (JST)
Place: Online (Zoom meeting)
Title: Variational Tensor Network Operator
Abstract:
We propose a simple and generic construction of the variational tensor
network operators to study the quantum spin systems by the synergy of
ideas from the imaginary-time evolution and variational optimization
of trial wave functions. By applying these operators to simple initial
states, accurate variational ground state wave functions with
extremely few parameters can be obtained. Furthermore, the framework
can be applied to study spontaneously symmetry breaking, symmetry
protected topological, and intrinsic topologically ordered phases, and
we show that symmetries of the local tensors associated with these
phases can emerge directly after the optimization without any gauge
fixing. This provides a universal way to identify quantum phase
transitions without prior knowledge of the system.
Reference:
Y.-H. Chen, K. Hsu, W.-L. Tu, H.-Y. Lee, and Y.-J. Kao, arXiv:2207.01819
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Satoshi Morita (森田 悟史)
The Institute for Solid State Physics, The University of Tokyo
kawashima.issp.u-tokyo.ac.jp/people/morita/
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