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Pseudopotential treatment of two aligned dipoles under external harmonic confinement

2007/01/18 by K. Kanjilal, Krittika Kanjilal, John L. Bohn +2 · 43 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Angular momentum #Anisotropy #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dipole #Fermi Gamma-ray Space Telescope #Harmonic #Harmonic potential #Materials science #Momentum (technical analysis) #Physics #Pseudopotential #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Zero-point energy #physics.atom-ph

paper · pdf · doi:10.1103/physreva.75.052705

published in Physical Review A 75(5) (American Physical Society) · 9 pages, 4 figures

arxiv created 2007/01/18 · openalex publication_date 2007/05/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Dipolar Bose and Fermi gases, which are currently being studied extensively experimentally and theoretically, interact through anisotropic, long-range potentials. Here, we replace the long-range potential by a zero-range pseudopotential that simplifies the theoretical treatment of two dipolar particles in a harmonic trap. Our zero-range pseudopotential description reproduces the energy spectrum of two dipoles interacting through a shape-dependent potential under external confinement very well, provided that sufficiently many partial waves are included, and readily leads to a classification scheme of the energy spectrum in terms of approximate angular momentum quantum numbers. The results may be directly relevant to the physics of dipolar gases loaded into optical lattices.

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