论文标题
限制下量子多体系统的确切基态
Exact ground states of quantum many-body systems under confinement
论文作者
论文摘要
了解均匀量子多体系统的基态的知识可用于找到具有限制潜力的双重不均匀系统的确切基态。对于自由空间中BIJL-JASTROW形式的基础状态的完整家族，双重系统被证明包括单体谐波潜力和两体长期相互作用。还提出了Nosanov-Jastrow波函数的非谐电势和量子固体的扩展。我们将此精确的映射应用于从自由空间解决方案中构造带有各种对相关函数和颗粒间相互作用的自由空间系统的本征状态。
Knowledge of the ground state of a homogeneous quantum many-body system can be used to find the exact ground state of a dual inhomogeneous system with a confining potential. For the complete family of parent Hamiltonians with a ground state of Bijl-Jastrow form in free space, the dual system is shown to include a one-body harmonic potential and two-body long-range interactions. The extension to anharmonic potentials and quantum solids with Nosanov-Jastrow wavefunctions is also presented. We apply this exact mapping to construct eigenstates of trapped systems from free-space solutions with a variety of pair correlation functions and interparticle interactions.
