Universal tetramer and pentamer in two-dimensional fermionic mixtures

Abstract

We study the emergence of universal tetramer and pentamer bound states in the two-dimensional $(N+1)$ system, which consists of $N$ identical heavy fermions interacting with a light atom. We show that the critical heavy-light mass ratio to support a ($3+1$) tetramer below the trimer threshold is $3.38$, and to support a ($4+1$) pentamer below the tetramer threshold is $5.14$. While these ground state tetramer and pentamer are both with zero total angular momentum, they exhibit very different density distributions and correlations in momentum space, due to their distinct angular momentum decompositions in the dimer-fermion frame. These universal bound states can be accessible by a number of Fermi-Fermi mixtures now realized in cold atoms laboratories, which also suggest novel few-body correlations dominant in their corresponding many-body systems.

arXiv comment6 pages, 3 figures; version to appear in PRL

References in corpus (30)

• Theory of ultracold Fermi gases
• Probing many-body states of ultra-cold atoms via noise correlations
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• The Mott insulator transition in two dimensions
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Ultracold Heteronuclear Fermi-Fermi Molecules
• Quantum degenerate mixtures of alkali and alkaline-earth-like atoms
• Low-energy three-body dynamics in binary quantum gases
• Strongly interacting two-dimensional Fermi gases
• Four-body Efimov effect
• Observation of Cooper Pairs in a Mesoscopic 2D Fermi Gas
• Observation of Pauli Crystals
• Production of a degenerate Fermi-Fermi mixture of dysprosium and potassium atoms
• Universal 1+2-body bound states in planar atomic wave guides
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Resonantly Interacting Fermi-Fermi Mixture of ${}^{161}$Dy and ${}^{40}$K
• Universal four-body states in heavy-light mixtures with positive scattering length
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Bound states in a quasi-two-dimensional Fermi gas
• Isotropic contact forces in arbitrary representation: heterogeneous few-body problems and low dimensions
• Efimov trimers under strong confinement
• Realization of a Cold Mixture of Fermionic Chromium and Lithium Atoms
• Single shot imaging of trapped Fermi gas
• On the observability of Pauli crystals
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions

Cited by in corpus (11)

• Quantum mixtures of ultracold gases of neutral atoms
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Ultracold LiCr: a new pathway to quantum gases of paramagnetic polar molecules
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Competing few-body correlations in ultracold Fermi polarons
• Impurity-induced pairing in two-dimensional Fermi gases
• Stability of $(N+1)$-body fermion clusters in multiband Hubbard model
• Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction
• Universal clusters in quasi-two-dimensional ultracold Fermi mixtures
• Heavy-light $N+1$ clusters of two-dimensional fermions
• Absence of binding of heavy fermions by two light atoms in two dimensions