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Quantized Vortices in the Ideal Bose Gas: A Physical Realization of Random Polynomials

2006; American Physical Society; Volume: 96; Issue: 4 Linguagem: Inglês

10.1103/physrevlett.96.040405

1092-0145

Yvan Castin, Zoran Hadzibabic, Sabine Stock, Jean Dalibard, S. Stringari,

Quantum optics and atomic interactions

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.