Pseudospin and spin-spin interactions in ultra-cold alkali atoms

Details Pseudospin and spin-spin interactions in ultra-cold alkali atoms Pseudospin and spin-spin interactions in ultra-cold alkali atoms

2011-01-24

arxiv.org/abs/1101.4637v1

New J. Phys. 13 023043 (2011)

Physics

Condensed Matter

Statistical Mechanics

24 pages, 3 figures

Scientific paper

10.1088/1367-2630/13/2/023043

Ultra-cold alkali atoms trapped in two distinct hyperfine states in an external magnetic field can mimic magnetic systems of spin 1/2 particles. We describe the spin-dependent effective interaction as a spin-spin interaction. As a consequence of the zero-range, the interaction of spin 1/2 bosons can be described as an Ising or, alternatively, as an XY-coupling. We calculated the spin-spin interaction parameters as a function of the external magnetic field in the Degenerate Internal State (DIS) approximation. We illustrate the advantage of the spin-spin interaction form by mapping the system of N spin 1/2 bosons confined by a tight trapping potential on that of N spin 1/2 spins coupled via an infinite range interaction.

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