Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates

Details Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates

2010-05-15

arxiv.org/abs/1005.2645v2

New J. Phys. 12 095016 (2010)

Physics

Condensed Matter

Quantum Gases

18 pages, IOP style

Scientific paper

10.1088/1367-2630/12/9/095016

I study the evolution of mean field and linear quantum fluctuations in a toroidal Bose-Einstein condensate, whose interaction strength is quenched from a finite (repulsive) value to zero. The azimuthal equal-time density-density correlation function is calculated and shows temporal oscillations with twice the (final) excitation frequencies after the transition. These oscillations are a direct consequence of positive and negative frequency mixing during non-adiabatic evolution. I will argue that a time-resolved measurement of the equal-time density correlator might be used to calculate the moduli of the Bogoliubov coefficients and thus the amount of squeezing imposed on a mode, i.e., the number of atoms excited out of the condensate.

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