Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-11-14
Physical Review Letters 96 (2006) 040405
Physics
Condensed Matter
Other Condensed Matter
4 pages
Scientific paper
10.1103/PhysRevLett.96.040405
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.
Castin Yvan
Dalibard Jean
Hadzibabic Zoran
Stock Sabine
Stringari Sandro
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