论文标题
晶格蒙特卡洛模拟带有两个杂质的世界线
Lattice Monte Carlo Simulations with Two Impurity Worldlines
论文作者
论文摘要
我们发展了杂质晶格蒙特卡洛形式主义，因为在两极分化的费米子浴中有两个可区分的杂质。多数粒子被视为明确的自由度，而杂质则由世界线描述。后者用作影响大多数颗粒的局部辅助场。我们将该方法应用于两个杂质的非权威主义三维系统，以及许多多数颗粒，其中杂质 - 障碍相互作用和杂质 - 多数相互作用均具有零范围。我们考虑了有吸引力的杂质多数相互作用的情况，并研究结合状态的形成和瓦解是杂质 - 障碍相互作用强度的函数。我们还讨论了这种形式主义对其他量子多体系统的潜在应用。
We develop the impurity lattice Monte Carlo formalism, for the case of two distinguishable impurities in a bath of polarized fermions. The majority particles are treated as explicit degrees of freedom, while the impurities are described by worldlines. The latter serve as localized auxiliary fields, which affect the majority particles. We apply the method to non-relativistic three-dimensional systems of two impurities and a number of majority particles where both the impurity-impurity interaction and the impurity-majority interaction have zero range. We consider the case of an attractive impurity-majority interaction, and we study the formation and disintegration of bound states as a function of the impurity-impurity interaction strength. We also discuss the potential applications of this formalism to other quantum many-body systems.
