Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-08-29
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.
Avron Joseph E.
Gutkin Boris
Oaknin David H.
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