Bound states in a quasi-two-dimensional Fermi gas

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.

5 pages, 4 figures

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• Efimov Physics: a review
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Universal many-body response of heavy impurities coupled to a Fermi sea
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• Quasiparticle lifetime of the repulsive Fermi polaron
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• High-temperature limit of the resonant Fermi gas
• Efimov trimers under strong confinement
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• Three-body problem in a two-dimensional Fermi gas
• Binding of heavy fermions by a single light atom in one dimension
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Universal tetramer and pentamer in two-dimensional fermionic mixtures
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
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• Impurity-induced pairing in two-dimensional Fermi gases
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• Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction
• Heavy-light $N+1$ clusters of two-dimensional fermions
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• Universal clusters in quasi-two-dimensional ultracold Fermi mixtures