arxiv: 1304.8099 · v3 · pith:WWZCEQ6Bnew · submitted 2013-04-30 · 🪐 quant-ph · physics.atom-ph

Few interacting fermions in one-dimensional harmonic trap

Tomasz Sowi\'nski , Tobias Grass , Omjyoti Dutta , Maciej Lewenstein This is my paper

classification 🪐 quant-ph physics.atom-ph

keywords behaviordegeneracydiscussfermionsharmonicinteractinginteractionone-dimensional

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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.

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Few interacting fermions in one-dimensional harmonic trap

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