论文标题

限制量子系统中的空间非本地性:具有量子相关性的联络

Spatial non-locality in confined quantum systems: a liaison with quantum correlations

论文作者

Christov, Ivan P.

论文摘要

使用先进的随机方法(时间依赖性量子蒙特卡洛,TDQMC),我们探索了1d和2d人造原子的基态,在谐波陷阱中,这些原子最多六个玻色子在谐波中,这些原子与远距离和短距离库仑的势能相互作用(Bosonic量子点)。结果表明,tDQMC中的密钥变分参数的优化值称为非局部相关长度接近一个玻色子的蒙特卡洛样品的标准偏差,并且略微取决于相互作用电位的范围。同样,它几乎独立于2D系统的玻色子数量,因此确认每个粒子经历的空间量子非本地性都接近其余粒子所表现出的空间不确定性。空间非本地性和量子相关性之间的亲密联系已清楚地证明。

Using advanced stochastic methods (time-dependent quantum Monte Carlo, TDQMC) we explore the ground state of 1D and 2D artificial atoms with up to six bosons in harmonic trap where these interact by long-range and short-range Coulomb-like potentials (bosonic quantum dots). It is shown that the optimized value of the key variational parameter in TDQMC named nonlocal correlation length is close to the standard deviation of the Monte Carlo sample for one boson and it is slightly dependent on the range of the interaction potential. Also it is almost independent on the number of bosons for the 2D system thus confirming that the spatial quantum non-locality experienced by each particle is close to the spatial uncertainty exhibited by the rest of the particles. The intimate connection between spatial non-locality and quantum correlations is clearly evidenced.

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