Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model

Details Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model

2009-02-26

arxiv.org/abs/0902.4725v1

Physics

Nuclear Physics

Nuclear Theory

7 pages, no figures. Revtex4

Scientific paper

The physics of two-component fermi systems is now frequently addressed in laboratories. Usually this is done for large samples of tens to hundreds of thousands of particles. However, there are now groups working towards few-body systems (1-100 particles) in very tight traps where the shell structure of the external potential becomes important. This is analogous to the situation encountered in nuclear structure physics. Here the state-of-the-art method is large-scale diagonalization of the interaction hamiltonian in an appropriate model space. We map the atomic physics problem onto the nuclear shell-model and show that the two-component atomic fermi gas with zero-range interaction does not suffer from the famous fermionic sign problem, making Quantum Monte Carlo methods feasible.

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