Girardeau M D
Optical Sciences Center, University of Arizona, Tucson, Arizona 85721, USA.
Phys Rev Lett. 2003 Jul 25;91(4):040401. doi: 10.1103/PhysRevLett.91.040401. Epub 2003 Jul 24.
It is proved that the Lieb-Liniger cusp condition implementing the delta function interaction in one-dimensional Bose gases is dynamically conserved under phase imprinting by pulses of arbitrary spatial form, and the subsequent many-body dynamics in the thermodynamic limit is expressed approximately in terms of solutions of the time-dependent single-particle Schrödinger equation for a set of time-dependent orbitals evolving from an initial Lieb-Liniger-Fermi sea. As an illustrative application, a generation of gray solitons in a Lieb-Liniger gas on a ring by a phase-imprinting pulse is studied.
已证明，在一维玻色气体中实现δ函数相互作用的李布 - 利尼格尖点条件在任意空间形式脉冲的相位印记下是动态守恒的，并且在热力学极限下随后的多体动力学近似地由一组从初始李布 - 利尼格 - 费米海演化而来的含时单粒子薛定谔方程的解来表示。作为一个说明性应用，研究了通过相位印记脉冲在环形李布 - 利尼格气体中产生灰色孤子的情况。
