论文标题
关于与Dzyaloshinsky-Moriya和Kaplan-Shekhtman-Entin-Wohlman-Wohlman-Wohlman-Aharony互动的双Qubit XYZ旋转链的量子相关性
On the quantum correlations in two-qubit XYZ spin chains with Dzyaloshinsky-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
论文作者
论文摘要
在热平衡时，在不均匀的磁场中，各向异性Heisenberg两型SPIN-1/2模型均具有反对称的Dzyaloshinsky-Moriya和对称的Kaplan-Shekhtman-Entin-Wohlman-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony-Aharony交互。使用组理论方法，我们发现15个自旋汉密尔顿人和许多相应的吉布斯密度矩阵（量子状态），其特征值仅通过平方自由基来表达。我们还发现了将15个状态集合的9个连接的局部统一转换，其中之一是X量子状态。由于量子纠缠，量子不一致，单向量子工作不足等量子相关性以X状态而闻名，因此，这允许从九个州家族中的任何成员获得量子相关性。此外，我们表明其余的六个量子状态是可分离的，它们也通过局部单一转换连接，但是，现在通常无法使用已知的相关性的情况。
The anisotropic Heisenberg two-spin-1/2 model in an inhomogeneous magnetic field with both antisymmetric Dzyaloshinsky-Moriya and symmetric Kaplan-Shekhtman-Entin-Wohlman-Aharony cross interactions is considered at thermal equilibrium. Using a group-theoretical approach, we find fifteen spin Hamiltonians and as many corresponding Gibbs density matrices (quantum states) whose eigenvalues are expressed only through square radicals. We also found local unitary transformations that connect nine of this fifteen state collection, and one of them is the X quantum state. Since such quantum correlations as quantum entanglement, quantum discord, one-way quantum work deficit, and others are known for the X state, this allows to get the quantum correlations for any member from the nine state family. Further, we show that the remaining six quantum states are separable, that they are also connected by local unitary transformations, but, however, now the case with known correlations beyond entanglement is generally not available.
