Density functional of a two-dimensional gas of dipolar atoms: Thomas-Fermi-Dirac treatment

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052517· OSTI ID:21546766

Fang, Bess; Englert, Berthold-Georg ^[1]

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1. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore) and Department of Physics, Faculty of Science, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)

We derive the density functional for the ground-state energy of a two-dimensional, spin-polarized gas of neutral fermionic atoms with magnetic-dipole interaction, in the Thomas-Fermi-Dirac approximation. For many atoms in a harmonic trap, we give analytical solutions for the single-particle spatial density and the ground-state energy, in dependence on the interaction strength, and we discuss the weak-interaction limit that is relevant for experiments. We then lift the restriction of full spin polarization and account for a time-independent inhomogeneous external magnetic field. The field strength necessary to ensure full spin polarization is derived.

• OSTI ID: 21546766
• Journal Information: Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.052517; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
74 ATOMIC AND MOLECULAR PHYSICS
ANALYTICAL SOLUTION
ATOMS
DENSITY
DENSITY FUNCTIONAL METHOD
DIRAC APPROXIMATION
FERMIONS
MAGNETIC DIPOLES
MAGNETIC FIELDS
SPIN ORIENTATION
THOMAS-FERMI MODEL
TWO-DIMENSIONAL CALCULATIONS
WEAK INTERACTIONS
APPROXIMATIONS
ATOMIC MODELS
BASIC INTERACTIONS
CALCULATION METHODS
DIPOLES
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MULTIPOLES
ORIENTATION
PHYSICAL PROPERTIES
VARIATIONAL METHODS