Quantized vortices in the ideal bose gas: a physical realization of random polynomials.
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.
Laboratoire Kastler Brossel, Ecole normale supérieure, 24 rue Lhomond, 75005 Paris, France.
Yvan
Y
Castin
Zoran
Z
Hadzibabic
Sabine
S
Stock
Jean
J
Dalibard
Sandro
S
Stringari