受限量子系统中的空间非局域性：与量子关联的联系
Spatial non-locality in confined quantum systems: a liaison with quantum correlations
AI总结：
本文利用含时量子蒙特卡洛方法研究一维和二维玻色量子点基态，发现非局域关联长度接近单粒子空间标准差且几乎不依赖粒子数，从而揭示了空间非局域性与量子关联之间的内在联系。
摘要：
利用先进的随机方法（含时量子蒙特卡洛，TDQMC），我们探索了一维和二维人工原子在谐振子势阱中最多含六个玻色子的基态，其中粒子通过长程和短程类库仑势相互作用（玻色量子点）。结果表明，TDQMC中名为非局域关联长度的关键变分参数的优化值接近于单个玻色子蒙特卡洛样本的标准差，并且轻微依赖于相互作用势的范围。同时，对于二维系统，该参数几乎与玻色子数目无关，从而证实每个粒子所经历的空间量子非局域性接近于其余粒子所表现出的空间不确定性。空间非局域性与量子关联之间的密切联系得到了清晰证明。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
