Journal
NEW JOURNAL OF PHYSICS
Volume 22, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/abb386
Keywords
p-wave fermions; one-dimensional systems; ultra-cold atoms
Categories
Funding
- (Polish) National Science Center [2016/22/E/ST2/00555]
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We propose a very accurate and efficient variational scheme for the ground state of the system of p-wave attractively interacting fermions confined in a one-dimensional harmonic trap. By the construction, the method takes the non-analytical part of interactions exactly into account and thus it approximates the true ground-state wave function in a whole range of interactions very accurately. Within the method, we determine different properties of the system for a different number of particles and different interactions. In this way, we explore how the system and its features transit from the ideal non-interacting Fermi gas to the system of infinitely strong attractions. Additionally, we demonstrate that the ansatz may also be used on a repulsive branch of interactions where other numerical methods break down. The presented method of including zero-range interactions is very universal and may be easily generalized to other one-dimensional confinements.
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