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

• URL: http://arxiv.org/abs/2301.03637v1
• Date: Mon, 9 Jan 2023 19:20:00 GMT
• Title: Composite-boson formalism applied to strongly bound fermion pairs in a one-dimensional trap
• Authors: Mart\'in D. Jim\'enez, Eloisa Cuestas, Ana P. Majtey and Cecilia Cormick
• Abstract summary: We solve the problem of two fermion pairs numerically using the so-called ''coboson formalism'' 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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