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Title: Pseudopotential treatment of two aligned dipoles under external harmonic confinement

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.

Authors:
 [1];  [2];  [1];  [3];  [4]
  1. Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814 (United States)
  2. JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440 (United States)
  3. (United States)
  4. (Italy)
Publication Date:
OSTI Identifier:
20982523
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.052705; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; ANISOTROPY; BOSE-EINSTEIN GAS; BOSONS; DIPOLES; ENERGY SPECTRA; FERMI GAS; FERMIONS; HARMONIC OSCILLATORS; PARTIAL WAVES; POTENTIALS; QUANTUM NUMBERS; RADIATION PRESSURE; TRAPS

Citation Formats

Kanjilal, K., Bohn, John L., Blume, D., JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440, and INFM-BEC, Dipartimento di Fisica, Universita di Trento, Sommarive 4, I-38050 Povo. Pseudopotential treatment of two aligned dipoles under external harmonic confinement. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.052705.
Kanjilal, K., Bohn, John L., Blume, D., JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440, & INFM-BEC, Dipartimento di Fisica, Universita di Trento, Sommarive 4, I-38050 Povo. Pseudopotential treatment of two aligned dipoles under external harmonic confinement. United States. doi:10.1103/PHYSREVA.75.052705.
Kanjilal, K., Bohn, John L., Blume, D., JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440, and INFM-BEC, Dipartimento di Fisica, Universita di Trento, Sommarive 4, I-38050 Povo. Tue . "Pseudopotential treatment of two aligned dipoles under external harmonic confinement". United States. doi:10.1103/PHYSREVA.75.052705.
@article{osti_20982523,
title = {Pseudopotential treatment of two aligned dipoles under external harmonic confinement},
author = {Kanjilal, K. and Bohn, John L. and Blume, D. and JILA, NIST and Department of Physics, University of Colorado, Boulder, Colorado 80309-0440 and INFM-BEC, Dipartimento di Fisica, Universita di Trento, Sommarive 4, I-38050 Povo},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.75.052705},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
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