Multiscale quantum-defect theory for two interacting atoms in a symmetric harmonic trap

Yujun Chen and Bo Gao
Phys. Rev. A 75, 053601 – Published 3 May 2007

Abstract

We present a multiscale quantum-defect theory for two identical atoms in a symmetric harmonic trap that combines the quantum-defect theory for the van der Waals interaction [B. Gao, Phys. Rev. A 64, 010701(R) (2001)] at short distances with a quantum-defect theory for the harmonic trapping potential at large distances. The theory provides a systematic understanding of two atoms in a trap, from deeply bound molecular states and states of different partial waves, to highly excited trap states. It shows, e.g., that a strong p-wave pairing can lead to a lower energy state around the threshold than a s-wave pairing.

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  • Received 22 January 2007

DOI:https://doi.org/10.1103/PhysRevA.75.053601

©2007 American Physical Society

Authors & Affiliations

Yujun Chen and Bo Gao*

  • Department of Physics and Astronomy, University of Toledo, MS 111, Toledo, Ohio 43606, USA

  • *Email address: bgao@physics.utoledo.edu

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Issue

Vol. 75, Iss. 5 — May 2007

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