Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement

Abstract

The energy spectrum, atom-dimer scattering length, and atom-trimer scattering length for systems of three and four ultracold atoms with $\delta$-function interactions in one dimension are presented as a function of the relative mass ratio of the interacting atoms. The Born-Oppenheimer approach is used to treat three-body ("HHL") systems of one light and two heavy atoms, as well as four-body ("HHHL") systems of one light and three heavy atoms. Zero-range interactions of arbitrary strength are assumed between different atoms, but the heavy atoms are assumed to be noninteracting among themselves. Both fermionic and bosonic heavy atoms are considered.

22 pages, 6 figures. Includes both positive and negative parity cases for the four-body sector

References in corpus (9)

• A High Phase-Space-Density Gas of Polar Molecules
• Observation of heteronuclear atomic Efimov resonances
• Low-energy three-body dynamics in binary quantum gases
• Crystalline phase of strongly interacting Fermi mixtures
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Bound states in a quasi-two-dimensional Fermi gas
• Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
• Three-Body Recombination in One Dimension
• Extension of the correlated Gaussian hyperspherical method to more particles and dimensions

Cited by in corpus (24)

• One-dimensional mixtures of several ultracold atoms: a review
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Pairing in a system of a few attractive fermions in a harmonic trap
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Exploring the few- to many-body crossover using cold atoms in one dimension
• Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
• Binding of heavy fermions by a single light atom in one dimension
• Quartet Superfluid in Two-dimensional Mass-imbalanced Fermi Mixtures
• Entanglement of an Impurity in a Few-Body One-Dimensional Ideal Bose System
• Universality in a one-dimensional three-body system
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Universality of excited three-body bound states in one dimension
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Competing few-body correlations in ultracold Fermi polarons
• Three-body bound states of two bosons and one impurity in one dimension
• Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
• Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction
• Universal clusters in quasi-two-dimensional ultracold Fermi mixtures
• Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap