Neural quantum states yield Born-Oppenheimer and non-Born-Oppenheimer energies for high-pressure atomic hydrogen that match or beat prior projector Monte Carlo results up to 128 atoms while avoiding symmetry assumptions and mass-scale issues.
Neural Wave Functions for High-Pressure Atomic Hydrogen
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abstract
We leverage the power of neural quantum states to describe the ground state wave function of solid and liquid atomic hydrogen, including both electronic and protonic degrees of freedom. For static protons, the resulting Born-Oppenheimer energies are consistently comparable to or lower than all previous projector Monte Carlo results for systems containing up to $128$ hydrogen atoms. The same level of accuracy is preserved upon inclusion of nuclear quantum effects, thus going beyond the Born-Oppenheimer approximation. In addition, our description overcomes major limitations of current wave functions, notably by avoiding any explicit symmetry assumption on the expected quantum crystal, and sidestepping efficiency issues of imaginary time evolution with disparate mass scales. As a first application, we examine crystal formation in an extremely high-density region up to pressure-induced melting.
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First-principles simulations find denser hydrogen at planetary conditions, implying lower bulk metallicity for Jupiter.
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Neural Wave Functions for High-Pressure Atomic Hydrogen
Neural quantum states yield Born-Oppenheimer and non-Born-Oppenheimer energies for high-pressure atomic hydrogen that match or beat prior projector Monte Carlo results up to 128 atoms while avoiding symmetry assumptions and mass-scale issues.
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A Denser Hydrogen Inferred from First-Principles Simulations Challenges Jupiter's Interior Models
First-principles simulations find denser hydrogen at planetary conditions, implying lower bulk metallicity for Jupiter.