论文标题
理想玻色极化子在零和非零温度下的淬灭动力学
Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures
论文作者
论文摘要
我们详细说明了理想的Bose-Einstein冷凝物中的固定杂质，我们称之为理想的Bose Polaron，在零和非零温度和杂质 - 玻色子耦合的任意强度下都以零和非零的温度。时间的演变得到了准确解决，发现令人惊讶的是，在这种简单的环境中已经存在许多预测的真实BEC的功能，并且可以在其中分析地理解。我们在$ t = 0 $和$ t> 0 $时的冷凝水波函数的时间演变中获得了显式公式。对于负散射长度，即使动力学是完全连贯的，也可以发现系统可以热化。棕褐色接触的时间演化和热值是得出的，并将其与最近的实验进行了比较。我们发现与费米极化子相反，只要存在冷凝水，接触就不会在单位性上界定。 $ t = 0 $的动态重叠的明确公式使我们能够计算RF频谱，通过将其与一个玻色子和杂质的两体问题相关联，可以详细理解它。
We give a detailed account of a stationary impurity in an ideal Bose-Einstein condensate, which we call the ideal Bose polaron, at both zero and non-zero temperatures and arbitrary strength of the impurity-boson coupling. The time evolution is solved exactly and it is found that, surprisingly, many of the features that have been predicted for the real BEC are already present in this simpler setting and can be understood analytically therein. We obtain explicit formulae for the time evolution of the condensate wave function at $T=0$ and of the one-particle density matrix at $T>0$. For negative scattering length, the system is found to thermalize even though the dynamics are perfectly coherent. The time evolution and thermal values of the Tan contact are derived and compared to a recent experiment. We find that contrary to the Fermi polaron, the contact is not bounded at unitarity as long as a condensate exists. An explicit formula for the dynamical overlap at $T=0$ allows us to compute the rf spectrum which can be understood in detail by relating it to the two-body problem of one boson and the impurity.
