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Trapped Ion Quantum Computing

Displaced path integral formulation for the momentum distribution of quantum particles

arXiv
Authors: Lin Lin, Joseph Morrone, Roberto Car, Michele Parrinello

Year

2010

Paper ID

9045

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

The proton momentum distribution, accessible by deep inelastic neutron scattering, is a very sensitive probe of the potential of mean force experienced by the protons in hydrogen-bonded systems. In this work we introduce a novel estimator for the end to end distribution of the Feynman paths, i.e. the Fourier transform of the momentum distribution. In this formulation, free particle and environmental contributions factorize. Moreover, the environmental contribution has a natural analogy to a free energy surface in statistical mechanics, facilitating the interpretation of experiments. The new formulation is not only conceptually but also computationally advantageous. We illustrate the method with applications to an empirical water model, ab-initio ice, and one dimensional model systems.

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  • The proton momentum distribution, accessible by deep inelastic neutron scattering, is a very sensitive probe of the potential of mean force experienced by the protons in...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1004.0868 [2] arXiv https://arxiv.org/abs/1004.0868 [3] Publisher https://arxiv.org/abs/1004.0868

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