Phys. Rev. Lett. 105, 020405 (2010) [4 pages]Rotonlike Instability and Pattern Formation in Spinor Bose-Einstein CondensatesReceived 16 April 2010; revised 2 June 2010; published 9 July 2010 We show that metastable phases of an antiferromagnetic spin-1 condensate in a simple model with pure contact interactions can exhibit a rotonlike minimum in the excitation spectrum. The introduction of a magnetic field gives rise to the instability of roton modes, which can lead to spontaneous emergence of regular periodic, polygonal, polyhedral, or crystalline patterns, as shown in numerical simulations within the truncated Wigner approximation. An explanation of the occurrence of rotonlike instability is given based on the energy and spin conservation laws. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.020405
DOI:
10.1103/PhysRevLett.105.020405
PACS:
05.30.Jp, 03.75.Kk, 03.75.Mn, 67.85.Fg
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