One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study

Abstract

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a large number of components with a single atom in each, on the opposite acquires many bosonic properties. We study the ground-state properties a multi-component Fermi gas trapped in a harmonic trap by fixed-node diffusion Monte Carlo method. We investigate how the energetic properties (energy, contact) and correlation functions (density profile and momentum distribution) evolve as the number of components is changed. It is shown that the system fermionizes in the limit of strong interactions. Analytical expression are derived in the limit of weak interactions within the local density approximation for arbitrary number of components and for one plus one particle using an exact solution.

15 pages, 5 figures

References in corpus (8)

• A one-dimensional liquid of fermions with tunable spin
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Competing orders in one dimensional spin 3/2 fermionic systems
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• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
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• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement

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