Department of Physics, Rutgers University, Piscataway, New Jersey 08854, USA.
Phys Rev Lett. 2012 Sep 14;109(11):115304. doi: 10.1103/PhysRevLett.109.115304.
We obtain an exact expression for the time evolution of the interacting Bose gas following a quench from a generic initial state using the Yudson representation for integrable systems. We study the time evolution of the density and noise correlation for a small number of bosons and their asymptotic behavior for any number. We show that for any value of the coupling, as long as it is repulsive, the system asymptotes towards a strongly repulsive gas, while for any value of an attractive coupling the long time behavior is dominated by the maximal bound state. This occurs independently of the initial state and can be viewed as an emerging "dynamic universality."
我们使用可积系统的 Yudson 表示法，从一般初始态对相互作用玻色气体的淬火后时间演化，得到了一个精确的表达式。我们研究了少量玻色子的密度和噪声相关的时间演化及其任意数量的玻色子的渐近行为。我们表明，对于任何值的耦合（只要是排斥的），系统渐近于强排斥气体，而对于任何值的吸引耦合，长时间行为则由最大束缚态主导。这与初始状态无关，可以看作是一种新兴的“动态普遍性”。
