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

Abstract

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.

10 pages, 6 figures

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Cited by in corpus (12)

• Few-body physics with ultracold atomic and molecular systems in traps
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Atom-ion quantum gate
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Analytic description of atomic interaction at ultracold temperatures II: Scattering around a magnetic Feshbach resonance
• Quantum-defect theory for $-1/r^4$ type of interactions
• Anharmonicity Induced Resonances for Ultracold Atoms and their Detection
• Ultracold collision in the presence of synthetic spin-orbit coupling
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Universal energy-dependent pseudopotential for the two-body problem of confined ultracold atoms
• Singularities of Floquet Scattering and Tunneling
• Analytical solutions of the Schrödinger equation for two confined atoms with van der Waals interaction