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Stability and instability properties of rotating Bose–Einstein condensates

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Abstract

We consider the mean-field dynamics of Bose–Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case.

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Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science, M/C 249, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL, 60607, USA

    Jack Arbunich, Irina Nenciu & Christof Sparber

  2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 21, Calea Griviţei, Sector 1, 010702, Bucharest, Romania

    Irina Nenciu

Authors
  1. Jack Arbunich
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  2. Irina Nenciu
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  3. Christof Sparber
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Correspondence to Jack Arbunich.

Additional information

This publication is based on work supported by the NSF through Grant Nos. DMS-1348092 and DMS-1150427. The authors want to thank Robert Seiringer and Michael Loss for inspiring discussions.

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Arbunich, J., Nenciu, I. & Sparber, C. Stability and instability properties of rotating Bose–Einstein condensates. Lett Math Phys 109, 1415–1432 (2019). https://doi.org/10.1007/s11005-018-01149-5

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  • DOI: https://doi.org/10.1007/s11005-018-01149-5

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