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arXiv · 2301.03637

Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap

Martín D. Jiménez·Eloisa Cuestas·Ana P. Majtey·Cecilia Cormick
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Abstract

We analyze a system of fermions in a one-dimensional harmonic trap with attractive delta-interactions between different fermions species, as an approximate description of experiments involving atomic dimers. We solve the problem of two fermion pairs numerically using the so-called ''coboson formalism'' as an alternative to techniques which are based on the single-particle basis. This allows us to explore the strongly bound regime, approaching the limit of infinite attraction in which the composite particles behave as hard-core bosons. Our procedure is computationally inexpensive and illustrates how the coboson toolbox is useful for ultracold atom systems even in absence of condensation.

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Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick. 2023-01-09. Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap. https://arxiv.org/abs/2301.03637

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