Quantum phases of electric dipole ensembles in atom chips

Details Quantum phases of electric dipole ensembles in atom chips Quantum phases of electric dipole ensembles in atom chips

2004-05-17

arxiv.org/abs/cond-mat/0405374v2

Phys.Lett. A344 (2005) 441

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, REVTEX. Title slightly changed and conclusions extended

Scientific paper

10.1016/j.physleta.2005.06.097

We present how a phase factor is generated when an electric dipole moves along a closed trajectory inside a magnetic field gradient. The similarity of this situation with charged particles in a magnetic field can be employed to simulate condensed matter models, such as the quantum Hall effect and chiral spin Hamiltonians, with ultra cold atoms integrated on atom chips. To illustrate this we consider a triangular configuration of a two dimensional optical lattice, where the chiral spin Hamiltonian $\vec{\sigma}_i \cdot \vec{\sigma}_j \times \vec{\sigma}_k$ can be generated between any three neighbours on a lattice yielding an experimentally implementable chiral ground state.

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