Pattern formation in mixtures of ultracold atoms in optical lattices

Details Pattern formation in mixtures of ultracold atoms in optical lattices Pattern formation in mixtures of ultracold atoms in optical lattices

2008-02-26

arxiv.org/abs/0802.3894v1

Phys. Rev. Lett. 101 060404-1--4 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures, typeset in ReVTeX

Scientific paper

10.1103/PhysRevLett.101.060404

Regular pattern formation is ubiquitous in nature; it occurs in biological, physical, and materials science systems. Here we propose a set of experiments with ultracold atoms that show how to examine different types of pattern formation. In particular, we show how one can see the analog of labyrinthine patterns (so-called quantum emulsions) in mixtures of light and heavy atoms (that tend to phase separate) by tuning the trap potential and we show how complex geometrically ordered patterns emerge (when the mixtures do not phase separate), which could be employed for low-temperature thermometry. The complex physical mechanisms for the pattern formation at zero temperature are understood within a theoretical analysis called the local density approximation.

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