不具有Lorentz不变性系统中Higgs模的可观测性
Observability of Higgs Mode in a system without Lorentz invariance
摘要：
研究了BEC-BCS交叉中Higgs模的可观测性。通过计算临界转变温度以下振幅涨落的谱权函数，研究了Higgs模的可观测性。在零温时，我们发现Goldstone模和Higgs模的振幅涨落谱函数上有两个尖峰。当系统从BCS侧到BEC侧时，从Higgs模到Goldstone模的谱权转移有很强的增强。然而，即使在失去洛伦兹不变性的幺正区域，希格斯模的尖锐特征仍然存在。我们具体计算了有限温度谱函数的振幅起伏在幺正制度，并表明，希格斯模式是可观察到的温度，目前的实验可以达到。
英文摘要：
We study the observability of the Higgs mode in BEC-BCS crossover. The observability of Higgs mode is investigated by calculating the spectral weight functions of the amplitude fluctuation below the critical transition temperature. At zero temperature, we find that there are two sharp peaks on the spectral function of the amplitude fluctuation attributed to Goldstone and Higgs modes respectively. As the system goes from BCS to BEC side, there is strong enhancement of spectral weight transfer from the Higgs to Goldstone mode. However, even at the unitary regime where the Lorentz invariance is lost, the sharp feature of Higgs mode still exists. We specifically calculate the finite temperature spectral function of amplitude fluctuation at the unitary regime and show that the Higgs mode is observable at the temperature that present experiments can reach.
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