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Topological defects in spinor condensates

H Mäkelä1, Y Zhang1,2 and K-A Suominen1,3

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We investigate the structure of topological defects in the ground states of spinor Bose–Einstein condensates with spin F = 1 or F = 2. The type and number of defects are determined by calculating the first and second homotopy groups of the order-parameter space. The order-parameter space is identified with a set of degenerate ground state spinors. Because the structure of the ground state depends on whether or not there is an external magnetic field applied to the system, defects are sensitive to the magnetic field. We study both cases and find that the defects in zero and non-zero field are different.


PACS

03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties

02.40.Re Algebraic topology

02.10.Ud Linear algebra

MSC

55U40 Topological categories, foundations of homotopy theory

81R25 Spinor and twistor methods (See also 32L25)

Subjects

Quantum gases, liquids and solids

Mathematical physics

Dates

Issue 32 (15 August 2003)

Received 9 May 2003

Published 29 July 2003



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