Seeing zeros of random polynomials: quantized vortices in the ideal Bose gas

Preprint

14 November 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0511330

Abstract

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.

Keywords

QUANTIZED VORTICES
RANDOM POLYNOMIALS
ZEROS OF RANDOM
SEEING ZEROS
IDEAL BOSE
BOSE GAS
GAS

All Related Versions

Version 1, 2005-11-14, ArXiv
Published version: Physical Review Letters, 96 (4), 040405.

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