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Topology and scale invariance in atomic Flatland

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If you have a question about this talk, please contact Katarzyna Macieszczak .

In a 2D world, most transitions towards ordered states of matter like crystals or magnets would not occur because of the increased role of fluctuations. However, non-conventional topological transitions can still occur, as understood by Kosterlitz and Thouless. In this talk I will present some important features of Flatland physics explored with cold atomic gases, such as the existence of a superfluid phase with quasi long-range order. I will also investigate the scale invariance of these fluids and discuss the existence of “breathers”, i.e., specific initial shapes leading to a periodic evolution of the gas when it is suddenly immersed in a harmonic potential. Finally using the notion of a synthetic dimension, I will connect the physics of these atomic systems with other prominent topological properties of matter, such as quantum-Hall type phenomenon.

This talk is part of the Theory of Condensed Matter series.

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