Phys. Rev. Lett. 96, 040405 (2006) [4 pages]Quantized Vortices in the Ideal Bose Gas: A Physical Realization of Random PolynomialsReceived 8 November 2005; published 3 February 2006 We propose a physical system allowing one to experimentally observe the distribution of the complex zeros of a random polynomial. We consider a degenerate, rotating, quasi-ideal atomic Bose gas prepared in the lowest Landau level. Thermal fluctuations provide the randomness of the bosonic field and of the locations of the vortex cores. These vortices can be mapped to zeros of random polynomials, and observed in the density profile of the gas. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.040405
DOI:
10.1103/PhysRevLett.96.040405
PACS:
03.75.Lm, 05.40.−a
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