玻色气体中示踪粒子的弹道运动
Ballistic Motion of a Tracer Particle Coupled to a Bose gas
摘要：
研究了重示踪粒子与具有玻色-爱因斯坦凝聚的稠密相互作用玻色气体的弱耦合运动。在所谓的平均场极限，该系统的动力学的非线性哈密顿演化方程所确定的。我们导出了示踪粒子的有效动力学，它由一个带记忆的非线性积分微分方程描述，并证明了如果示踪粒子的初速度低于玻色气体中的声速，粒子的运动在很大程度上接近于匀速惯性运动.
英文摘要：
We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear Hamiltonian evolution equations. We derive the effective dynamics of the tracer particle, which is described by a non-linear integro-differential equation with memory, and prove that if the initial speed of the tracer particle is below the speed of sound in the Bose gas the motion of the particle approaches an inertial motion at constant velocity at large times.
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