Few interacting fermions in one-dimensional harmonic trap
Quantum Physics
2013-09-09 v3 Atomic Physics
Abstract
We study spin-1/2 fermions, interacting via a two-body contact potential, in a one-dimensional harmonic trap. Applying exact diagonalization, we investigate their behavior at finite interaction strength, and discuss the role of the ground-state degeneracy which occurs for sufficiently strong repulsive interaction. Even low temperature or a completely depolarizing channel may then dramatically influence the system's behavior. We calculate level occupation numbers as signatures of thermalization, and we discuss the mechanisms to break the degeneracy.
Cite
@article{arxiv.1304.8099,
title = {Few interacting fermions in one-dimensional harmonic trap},
author = {Tomasz Sowiński and Tobias Grass and Omjyoti Dutta and Maciej Lewenstein},
journal= {arXiv preprint arXiv:1304.8099},
year = {2013}
}