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arXiv 1005.2645cond-mat.quant-gas
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环形玻色-爱因斯坦凝聚体压缩的时间分辨密度关联研究

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

Michael Uhlmann

摘要:

我研究了环形玻色-爱因斯坦凝聚体中的平均场和线性量子涨落的演化,它的相互作用强度从有限(排斥)值猝灭到零。计算了方位角等时密度-密度关联函数,并显示了过渡后具有两倍(最终)激发频率的时间振荡。这些振荡是非绝热演化过程中正负频率混合的直接结果。我将论证,等时间密度相关器的时间分辨测量可以用于计算Bogoliubov系数的模量,从而计算施加在模式上的压缩量,即,从凝聚物中激发出来的原子数。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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