https://doi.org/10.1140/epjd/e2014-40687-4
Regular Article
Mapping the two-component atomic Fermi gas to the nuclear shell-model
1 Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, CT 06520, USA
2 Faculty of Engineering and Natural Sciences, Kadir Has University, 34083 Istanbul, Turkey
3 Department of Physics, Harvard University, Cambridge, MA 02138, USA
4 Department of Physics and Astronomy, Aarhus University, 8000 Aarhus C, Denmark
a
e-mail: zinner@phys.au.dk
Received: 2 November 2013
Received in final form: 30 April 2014
Published online: 12 August 2014
The physics of a two-component cold Fermi gas is now frequently addressed in laboratories. Usually this is done for large samples of tens to hundreds of thousands of particles. However, it is now possible to produce few-body systems (1–100 particles) in very tight traps where the shell structure of the external potential becomes important. A system of two-species fermionic cold atoms with an attractive zero-range interaction is analogous to a simple model of nucleus in which neutrons and protons interact only through a residual pairing interaction. In this article, we discuss how the problem of a two-component atomic Fermi gas in a tight external trap can be mapped to the nuclear shell-model so that readily available many-body techniques in nuclear physics, such as the Shell-Model Monte Carlo (SMMC) method, can be directly applied to the study of these systems. We demonstrate an application of the SMMC method by estimating the pairing correlations in a small two-component Fermi system with moderate-to-strong short-range two-body interactions in a three-dimensional harmonic external trapping potential.
Key words: Cold Matter and Quantum Gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014
