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Phys. Rev. A 66, 063603 (2002) [12 pages]

Superfluidity and mean-field energy loops: Hysteretic behavior in Bose-Einstein condensates

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Erich J. Mueller*
Department of Physics, The Ohio State University, Columbus, Ohio 43210

Received 2 September 2002; published 16 December 2002

We present a theory of hysteretic phenomena in Bose gases, using superfluidity in one-dimensional rings and in optical lattices as primary examples. Through this study we are able to give a physical interpretation of swallow-tail loops recently found by many authors in the mean-field energy structure of trapped atomic gases. These loops are a generic sign of hysteresis, and in the present context are an indication of superfluidity. We have also calculated the rate of decay of metastable current-carrying states due to quantum fluctuations.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.063603
DOI:
10.1103/PhysRevA.66.063603
PACS:
03.75.Fi

*Electronic address: emueller@mps.ohio-state.edu