Digital Commons @ Trinity

Title

Few-Boson Processes in the Presence of an Attractive Impurity Under One-Dimensional Confinement

Authors

Nirav P. Mehta, Trinity UniversityFollow
Connor D. Morehead, Trinity UniversityFollow

Document Type

Article

Publication Date

10-20-2015

Abstract

We consider a few-boson system confined to one dimension with a single distinguishable particle of lesser mass. All particle interactions are modeled with δ functions, but due to the mass imbalance the problem is nonintegrable. Universal few-body binding energies, atom-dimer and atom-trimer scattering lengths, are all calculated in terms of two parameters, namely the mass ratio m_L/m_H, and ratio g_HH/g_HL of the δ-function couplings. We specifically identify the values of these ratios for which the atom-dimer or atom-trimer scattering lengths vanish or diverge. We identify regions in this parameter space in which various few-body inelastic processes become energetically allowed. In the Tonks-Girardeau limit (g_HH→∞), our results are relevant to experiments involving trapped fermions with an impurity atom.

Identifier

10.1103/PhysRevA.92.043616

Publisher

American Physical Society

Repository Citation

Mehta, N.P., & Morehead, C.D. (2015). Few-boson processes in the presence of an attractive impurity under one-dimensional confinement. Physical Review A: Atomic, Molecular, and Optical Physics, 92, 043616. doi: 10.1103/PhysRevA.92.043616

Publication Information

Physical Review A: Atomic, Molecular, and Optical Physics