均匀分布费米系统的组态路径积分蒙特卡罗模拟

摘要

改进了组态路径积分蒙卡方法,简化采样过程,开发相应程序并对无库伦相互作用谐振子以及均匀电子气进行模拟.谐振子平衡态能量与Fermi－Dirac 分布符合较好,均匀电子气平衡态能量和动量基本符合Fermi－Dirac分布规律.对两种费米子系统的研究表明,组态路径积分蒙卡方法对费米子的交换效应具有较好的描述.本文探讨了费米交换符号问题的解决途径,同时对均匀电子气模型进行研究,为后续温热稠密物质的研究奠定基础.%The sampling process of Configuration Path Integral Monte Carlo was simplified.Non－interacting os-cillator and uniform electron gas were simulated by the corresponding code.Energy distributions of both Fermi systems match well with Fermi－Dirac distribution.Momentum distributions of uniform electron gas under differ-ent temperatures and densities also match well with Fermi－Dirac distribution.The research on the two Fermi systems indicates that Configuration Path Integral Monte Carlo shows great potential for solving Fermi sign prob-lem.We present an alternative for Fermi sign problem.And did some remarkable work on uniform electron gas,which lays a foundation for further study for warm－dense matter.