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Simulating and detecting artificial magnetic fields in trapped atoms

2009/09/30 by Matthias Rosenkranz, Alexander Klein, Dieter Jaksch
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Magnetic field #Physics #Quantum Mechanics and Applications #Quantum mechanics #cond-mat.other #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.81.013607

published as Phys. Rev. A 81, 013607 (2010) · 14 pages, 9 figures. Published version

openalex publication_date 2010/01/11 · arxiv created 2010/01/21 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A Bose-Einstein condensate exhibiting a nontrivial phase induces an artificial magnetic field in immersed impurity atoms trapped in a stationary, ring-shaped optical lattice. We present an effective Hamiltonian for the impurities for two condensate setups: the condensate in a rotating ring and in an excited rotational state in a stationary ring. We use Bogoliubov theory to derive analytical formulas for the induced artificial magnetic field and the hopping amplitude in the limit of low condensate temperature where the impurity dynamics is coherent. As methods for observing the artificial magnetic field we discuss time-of-flight imaging and mass current measurements. Moreover, we compare the analytical results of the effective model to numerical results of a corresponding two-species Bose-Hubbard model. We also study numerically the clustering properties of the impurities and the quantum chaotic behavior of the two-species Bose-Hubbard model.

Citations