标题： 强关联二维玻色气体中凝聚物分数的表观普遍表达式 显示英文标题

标题： A phenomenological universal expression for the condensate fraction in strongly-correlated two-dimensional Bose gases

摘要： 我们研究零温玻色子二维量子系统中非局部和能量性质之间的关系。 通过分析跨越微扰到强关联区域的多种相互作用势，我们发现了一种新的高精度量子现象普遍性：凝聚体分数可以通过动能和量子能量表达，量子能量定义为相对于经典晶体态的总能量。 量子蒙特卡罗模拟准确验证了我们的解析表达式。 此外，我们将所得关系应用于非微扰系统的典型例子，即液氦。 所提出的关系与过渡金属二硫属化物（TMDC）材料中的激子实验以及低维其他量子系统中的实验相关。 显示英文摘要

摘要： We investigate the relation between non-local and energetic properties in 2D quantum systems of zero-temperature bosons. By analyzing numerous interaction potentials across densities spanning from perturbative to strongly correlated regime, we discover a novel high-precision quantum phenomenological universality: the condensate fraction can be expressed through kinetic energy and quantum energy, defined as total energy relative to classical crystal state. Quantum Monte Carlo simulations accurately validate our analytical expression. Furthermore, we test the obtained relation on the fundamental example of a non-perturbative system, namely, the liquid helium. The proposed relation is relevant to experiments with excitons in transition metal dichalcogenides (TMDC) materials, as well as ultracold atoms and other quantum systems in reduced dimensionality.