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Rapid ramps across the BEC-BCS crossover: a novel route to measuring the superfluid gap

机译:跨越BEC-BCs交叉的快速斜坡:一种新的测量方法   超流体间隙

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摘要

We investigate the response of superfluid Fermi gases to rapid changes of thethree-dimensional s-wave scattering length a by solving the time-dependentBogoliubov-de Gennes equations. In general the magnitude of the order parameter|\Delta| performs oscillations, which are sometimes called the "Higgs" mode,with the angular frequency 2 \Delta_{gap}/ \hbar, where \Delta_{gap} is the gapin the spectrum of fermionic excitations. Firstly, we excite the oscillationswith a linear ramp of 1/a and study the evolution of |\Delta|. Secondly, wecontinously drive the system with a sinusoidal modulation of 1/a. In the firstcase, the oscillations in |\Delta| damp according to a power law. In the secondcase, the continued driving causes revivals in the oscillations. In both cases,the excitation of the oscillations causes a reduction in the time-averagedvalue of |\Delta|. We propose two experimental protocols, based around the twoapproaches, to measure the frequency and damping of the oscillations, and hence\Delta_{gap}.
机译:我们通过求解时间相关的Bogoliubov-de Gennes方程,研究了超流体费米气体对三维s波散射长度a的快速变化的响应。通常,阶数参数的大小| \ Delta |会以角频率2 \ Delta_ {gap} / \ hbar进行振荡(有时称为“希格斯”模式),其中\ Delta_ {gap}是费米离子激发光谱中的间隙。首先,我们以1 / a的线性斜率激发振荡,并研究| \ Delta |的演化。其次,我们以1 / a的正弦调制连续驱动系统。在第一种情况下,|| Delta |中的振荡根据幂律阻尼。在第二种情况下,持续的驱动会导致振动恢复。在这两种情况下,振荡的激发都会导致| \ Delta |的时间平均值减小。我们基于这两种方法提出了两个实验协议,用于测量振荡的频率和阻尼,从而测量\ Delta_ {gap}。

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