论文标题
费米昂系统中的两轨量子不和谐
Two-orbital quantum discord in fermion systems
论文作者
论文摘要
一个简单的表达式使用平均超选择规则得出了Fermion系统中两个轨道之间的量子不一致。由于轨道之间的相关性取决于所选的基础，因此我们讨论了一种特殊的轨道基础，即天然。我们表明，当配对张量为零时，自然轨道对之间的量子相关消失，即保留粒子数对称性。在平滑肌决定符号状态下的Hartree-fock轨道，六颗粒真空中的Hartree-fock-Bogoliubov Quasiparticle轨道，或带有粒子对称性的哈密顿量的基态及其相应的天然轨道是自然基础及其相应状态的一些相关示例。由于天然轨道具有该特殊特性，因此我们在非天然轨道的基础上寻求量子不和谐。我们在Lipkin-Meshkov-Glick和Agassi模型的背景下分析了我们的发现。
A simple expression to compute the quantum discord between two orbitals in fermion systems is derived using the parity superselection rule. As the correlation between orbitals depends on the basis chosen, we discuss a special orbital basis, the natural one. We show that quantum correlations between natural orbital pairs disappear when the pairing tensor is zero, i.e. the particle number symmetry is preserved. The Hartree-Fock orbitals within a Slater determinant state, a Hartree-Fock-Bogoliubov quasiparticle orbitals in a quasiparticle vacuum, or the ground state of a Hamiltonian with particle symmetry and their corresponding natural orbitals are some relevant examples of natural basis and their corresponding states. Since natural orbitals have that special property, we seek for the quantum discord in non-natural orbital basis. We analyze our findings in the context of the Lipkin-Meshkov-Glick and Agassi models.
