Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions

Abstract

We study few-body problems in mixed dimensions with $N\ge 2$ heavy atoms trapped individually in parallel one-dimensional tubes or two-dimensional disks, and a single light atom travels freely in three dimensions. By using the Born-Oppenheimer approximation, we find three- and four-body bound states for a broad region of heavy-light atom scattering length combinations. Specifically, the existence of trimer and tetramer states persist to negative scattering lengths regime, where no two-body bound state is present. These few-body bound states are analogous to the Efimov states in three dimensions, but are stable against three-body recombination due to geometric separation. In addition, we find that the binding energy of the ground trimer and tetramer state reaches its maximum value when the scattering lengths are comparable to the separation between the low-dimensional traps. This resonant behavior is a unique feature for the few-body bound states in mixed dimensions.

Extended version with 14 pages and 14 figures

References in corpus (21)

• Weakly bound dimers of fermionic atoms
• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Observation of heteronuclear atomic Efimov resonances
• Radio Frequency Association of Efimov Trimers
• Scattering in Mixed Dimensions with Ultracold Gases
• Measurement of an Efimov trimer binding energy in a three-component mixture of 6Li
• Universal Fermi gases in mixed dimensions
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Crystalline phase of strongly interacting Fermi mixtures
• Universal Fermi Gas with Two- and Three-Body Resonances
• Efimov states and their Fano resonances in a neutron-rich nucleus
• Liberating Efimov physics from three dimensions
• The Efimov effect in lithium 6
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Confinement-induced p-wave resonances from s-wave interactions
• Confinement-induced Efimov resonances in Fermi-Fermi mixtures
• Universal physics of 2+1 particles with non-zero angular momentum

Cited by in corpus (9)

• Efimov Physics: a review
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Strings of ultracold molecules in a synthetic dimension
• Polaronic effects in one- and two-band quantum systems
• Three-body forces and Efimov physics in nuclei and atoms
• Zero-temperature phase diagram of Yukawa bosons
• Optical lattices with large scattering length: Using few-body physics to simulate an electron-phonon system
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
• Three-body bound states in a harmonic waveguide with cylindrical symmetry