Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA.
Phys Rev Lett. 2011 Dec 2;107(23):230405. doi: 10.1103/PhysRevLett.107.230405.
We derive an exact analytic expression for the three-body local correlations in the Lieb-Liniger model of 1D Bose gas with contact repulsion. The local three-body correlations control the thermalization and particle loss rates in the presence of terms which break integrability, as is realized in the case of 1D ultracold bosons. Our result is valid not only at finite temperature but also for a large class of nonthermal excited states in the thermodynamic limit. We present finite temperature calculations in the presence of external harmonic confinement within local density approximation, and for a highly excited state that resembles an experimentally realized configuration.
我们推导出一维玻色气体中具有接触排斥的李-林格模型的三体局域相关的精确解析表达式。在存在破坏可积性的项的情况下，三体局域相关控制着热化和粒子损失率，这在一维超冷玻色子的情况下得以实现。我们的结果不仅在有限温度下有效，而且在热力学极限下的一大类非热激发态中也有效。我们在局部密度近似下，在存在外谐囚禁的情况下给出了有限温度的计算，以及对一个类似于实验实现构型的高度激发态的计算。
