Borromean ground state of fermions in two dimensions

Abstract

The study of quantum mechanical bound states is as old as quantum theory itself. Yet, it took many years to realize that three-body borromean systems that are bound when any two-body subsystem is unbound are abundant in nature. Here we demonstrate the existence of borromean systems of spin-polarized (spinless) identical fermions in two spatial dimensions. The ground state with zero orbital (planar) angular momentum exists in a borromean window between critical two- and three-body strengths. The doubly degenerate first excited states of angular momentum one appears only very close to the two-body threshold. They are the lowest in a possible sequence of so-called super-Efimov states. While the observation of the super-Efimov scaling could be very difficult, the borromean ground state should be observable in cold atomic gases and could be the basis for producing a quantum gas of three-body states in two dimensions.

9 pages, 3 figures, published version

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Observation of an Efimov spectrum in an atomic system
• Observation of universality in ultracold 7Li three-body recombination
• Radio Frequency Association of Efimov Trimers
• Comparing and contrasting nuclei and cold atomic gases
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Model independence in two dimensions and polarized cold dipolar molecules

Cited by in corpus (27)

• Efimov Physics: a review
• Universal few-body physics and cluster formation
• Observation of the Efimovian Expansion in Scale Invariant Fermi Gases
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Proof of the Super Efimov Effect
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Borromean droplet in three-component ultracold Bose gases
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Semisuper Efimov effect of two-dimensional bosons at a three-body resonance
• Revealing the origin of super-Efimov states in the hyperspherical formalism
• Super Efimov effect for mass-imbalanced systems
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Universal physics of bound states of a few charged particles
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
• Three-body forces and Efimov physics in nuclei and atoms
• Universality in a one-dimensional three-body system
• Dynamic Super Efimov Effect
• Observation of Dynamical Super Efimovian Expansion in a Unitary Fermi Gas
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Scattering Hypervolume of Fermions in Two Dimensions
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Window for Efimov physics for few-body systems with finite-range interactions
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement