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

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

2007-01-16

arxiv.org/abs/cond-mat/0701384v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

10.1103/PhysRevA.75.053601

We present a multiscale quantum-defect theory (QDT) 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 \textbf{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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