Bound states in a quasi-two-dimensional Fermi gas

2012/07/31 by Jesper Levinsen, Meera M. Parish · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.other

paper · pdf · doi:10.1103/physrevlett.110.055304

published as Phys. Rev. Lett. 110, 055304 (2013) · 5 pages, 4 figures

arxiv created 2013/01/30 · arxiv updated 2013/01/31

Abstract

We consider the problem of N identical fermions of mass M and one distinguishable particle of mass m interacting via short-range interactions in a confined quasi-two-dimensional (quasi-2D) geometry. For N=2 and mass ratios M/m<13.6, we find non-Efimov trimers that smoothly evolve from 2D to 3D. In the limit of strong 2D confinement, we show that the energy of the N+1 system can be approximated by an effective two-channel model. We use this approximation to solve the 3+1 problem and we find that a bound tetramer can exist for mass ratios M/m as low as 5 for strong confinement, thus providing the first example of a universal, non-Efimov tetramer involving three identical fermions.

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