Topological swimming in a quantum sea

Details Topological swimming in a quantum sea Topological swimming in a quantum sea

2005-08-29

arxiv.org/abs/cond-mat/0508692v2

Physical Review Letters 96, 130602 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.96.130602

We propose a quantum theory of swimming for swimmers that are small relative to the coherence length of the medium. The quantum swimming equation is derived from known results on quantum pumps. For a one-dimensional Fermi gas at zero temperature we find that swimming is topological: The distance covered in one swimming stroke is quantized in half integer multiples of the Fermi wave length. Moreover, one can swim without dissipation.

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