Pseudospin and spin-spin interactions in ultra-cold alkali atoms
arXiv:1101.4637 · doi:10.1088/1367-2630/13/2/023043
Abstract
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.
24 pages, 3 figures
References in corpus (20)
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Quantum magnetism and criticality
- A Quantum Rosetta Stone for Interferometry
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Phase diagram of a two-component Fermi gas with resonant interactions
- Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
- Critical velocity for superfluid flow across the BEC-BCS crossover
- Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems
- p-wave Cooper Pairing of Fermions in Mixtures of Dilute Fermi and Bose Gases
- Finite-Temperature Collective Dynamics of a Fermi Gas in the BEC-BCS Crossover
- Measurement of a Mixed Spin Channel Feshbach Resonance in Rubidium 87
- Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature: general formalismand beyond mean-field corrections
- Fermion pairing with spin-density imbalance in an optical lattice
- Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems
- Dynamical instability of the XY spiral state of ferromagnetic condensates
- Asymmetric Fermi superfluid with different atomic species in a harmonic trap
- Treatment of backscattering in a gas of interacting fermions confined to a one-dimensional harmonic atom trap
- Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field