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Hannover 2013 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 56: Poster III

Q 56.29: Poster

Donnerstag, 21. März 2013, 16:00–18:30, Empore Lichthof

Quasirelativistic atomic Bose-Einstein Condensate in an Optical Lattice — •Martin Leder, Christopher Grossert, Tobias Salger, Sebastian Kling, and Martin Weitz — Institute for Applied Physics, University of Bonn, Germany

A proof-of-principle experiment simulating effects predicted by relativistic wave equations with ultracold atoms in a bichromatic optical lattice that allows for a tailoring of the dispersion relation is reported [1]. In this lattice, for specific choices of the relativistic phases and amplitudes of the lattice harmonics the dispersion relation in the region between the first and the second excited band becomes linear, as known for ultrarelativistic particles. One can show that the dynamics can be described by an effective one-dimensional Dirac equation [2].

We experimentally observe the analog of Klein-Tunneling, the penetration of relativistic particles through a potential barrier without the exponential damping that is characteristic for nonrelativistic quantum tunneling [3]. Both linear (relativistic) and quadratic (nonrelativistic) dispersion relations are investigated, and significant barrier transmission is only observed for the relativistic case.

References

[1] T. Salger, C. Grossert, S. Kling, and M. Weitz, Phys. Rev. Lett. 107, 240401 (2011)

[2] D. Witthaut, T. Salger, S. Kling, C. Grossert, and M. Weitz, Phys. Rev A 84, 033601 (2011)

[3] O. Klein, Z.Physik 53, pp. 157-165 (1929)

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