Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space.

@article{Ruggeri2018NonlinearND,
  title={Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space.},
  author={Michele Ruggeri and Saverio Moroni and Markus Holzmann},
  journal={Physical review letters},
  year={2018},
  volume={120 20},
  pages={
          205302
        }
}
We show that the recently introduced iterative backflow wave function can be interpreted as a general neural network in continuum space with nonlinear functions in the hidden units. Using this wave function in variational Monte Carlo simulations of liquid ^{4}He in two and three dimensions, we typically find a tenfold increase in accuracy over currently used wave functions. Furthermore, subsequent stages of the iteration procedure define a set of increasingly good wave functions, each with its… 

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