Momentum distribution of He-3 in one dimension

Abstract

The one-particle density matrix of a one-dimensional system of fermions featuring a hard-core repulsive interaction at short distances can be computed (numerically) exactly by means of the continuous-space Worm Algorithm, without any sign instability. We present here results for this quantity, and the related momentum distribution, for a helium-three fluid. It is shown that effects of quantum statistics are observable in the fully polarized system, but are suppressed in the unpolarized one, atoms being essentially distinguishable in the latter case.

Five pages, five figures in color

References in corpus (8)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Helium-4 Luttinger liquids in nanopores
• Supersolid phases of cold atom assemblies
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• Quantum statistics and the momentum distribution of liquid para-hydrogen
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• The Momentum Distribution of Liquid ${}^3$He
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Cited by in corpus (1)

• Ground state correlations in the one-dimensional Fermi one-component plasma