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Journal Article

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

MPS-Authors

Ruggeri,  M.
Max Planck Society;

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Citation

Ruggeri, M., Moroni, S., & Holzmann, M. (2018). Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space. Physical Review Letters, 120(20): 205302.


Cite as: https://hdl.handle.net/21.11116/0000-000E-D34C-F
Abstract
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 He-4 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 own variational energy and variance of the local energy: extrapolation to zero variance gives energies in close agreement with the exact values. For two dimensional He-4, we also show that the iterative backflow wave function can describe both the liquid and the solid phase with the same functional form-a feature shared with the shadow wave function, but now joined by much higher accuracy. We also achieve significant progress for liquid He-3 in three dimensions, improving previous variational and fixed-node energies.