Back to Search Start Over

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

Authors :
N Matveeva
G E Astrakharchik
Source :
New Journal of Physics, Vol 18, Iss 6, p 065009 (2016)
Publication Year :
2016
Publisher :
IOP Publishing, 2016.

Abstract

A 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 of a multicomponent repulsive Fermi gas trapped in a harmonic trap by a fixed-node diffusion Monte Carlo method. The interaction between all components is considered to be the same. 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 expressions are derived in the limit of weak interactions within the local density approximation for an arbitrary number of components and for one plus one particle using an exact solution.

Details

Language :
English
ISSN :
13672630
Volume :
18
Issue :
6
Database :
Directory of Open Access Journals
Journal :
New Journal of Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.2ded1ce6abb74f6ebfe0510488df1318
Document Type :
article
Full Text :
https://doi.org/10.1088/1367-2630/18/6/065009