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Mapping the two-component atomic Fermi gas to the nuclear shell-model

  • Cem Özen
  • Nikolaj Thomas Zinner
Regular Article

Abstract

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.

Keywords

Cold Matter and Quantum Gas 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Center for Theoretical Physics, Sloane Physics LaboratoryYale UniversityNew HavenUSA
  2. 2.Faculty of Engineering and Natural SciencesKadir Has UniversityIstanbulTurkey
  3. 3.Department of PhysicsHarvard UniversityCambridgeUSA
  4. 4.Department of Physics and AstronomyAarhus UniversityAarhus CDenmark

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