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

Martín D. Jiménez, Eloisa Cuestas, Ana P. Majtey, Cecilia Cormick

SciPost Phys. Core 6, 012 (2023) · published 14 March 2023


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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