论文标题
许多粒子系统的量子回流
Quantum backflow for many-particle systems
论文作者
论文摘要
量子回流是与具有正动动量的粒子可能在某个时空点显示负概率电流的事实有关的经典效果。我们研究了这种特殊现象如何扩展到许多粒子系统。我们为由$ n $ noderivisistion构成的系统提供了量子回流的一般公式，无论是相同或可区分的。将我们的注意力限制在玻色粒系统上，在这种情况下，$ n $相同的玻色子处于相同的单粒子状态，尤其可以在分析上表明，在这种情况下，最大可实现的量子回流量对于$ n $的大值就会任意地很小。
Quantum backflow is the classically-forbidden effect pertaining to the fact that a particle with a positive momentum may exhibit a negative probability current at some space-time point. We investigate how this peculiar phenomenon extends to many-particle systems. We give a general formulation of quantum backflow for systems formed of $N$ free nonrelativistic structureless particles, either identical or distinguishable. Restricting our attention to bosonic systems where the $N$ identical bosons are in the same one-particle state allows us in particular to analytically show that the maximum achievable amount of quantum backflow in this case becomes arbitrarily small for large values of $N$.
