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arXiv · 1510.09050

Phase dependent loading of Bloch bands and Quantum simulation of relativistic wave equation predictions with ultracold atoms in variably shaped optical lattice potentials

Christopher Grossert·Martin Leder·Martin Weitz
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Abstract

The dispersion relation of ultracold atoms in variably shaped optical lattices can be tuned to resemble that of a relativistic particle, i.e. be linear instead of the usual nonrelativistic quadratic dispersion relation of a free atom. Cold atoms in such a lattice can be used to carry out quantum simulations of relativistic wave equation predictions. We begin this article by describing a Raman technique that allows to selectively load atoms into a desired Bloch band of the lattice near a band crossing. Subsequently, we review two recent experiments with quasirelativistic rubidium atoms in a bichromatic lattice, demonstrating the analogs of Klein tunneling and Veselago lensing with ultracold atoms respectively.

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Christopher Grossert, Martin Leder, Martin Weitz. 2015-10-30. Phase dependent loading of Bloch bands and Quantum simulation of relativistic wave equation predictions with ultracold atoms in variably shaped optical lattice potentials. https://doi.org/10.1080/09500340.2015.1137370

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