论文标题
海森贝格自旋1/2 xxz链中的分解，相干性和不对称性横向磁场和dzyaloshinskii-moriya相互作用
Factorization, coherence and asymmetry in the Heisenberg spin-1/2 XXZ chain a transverse magnetic field and with Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
我们研究了使用量子信息测量方法研究与Dzyaloshinskii-Moriya相互作用（DMI）（DMI）和横向磁场的1D Heisenberg Spin-1/2 XXZ链的分解，相干性和不对称性能。纵向和横向DM矢量均被考虑。使用数值DMRG，我们计算单键，两旋旋转并发和wigner-yananse-skew信息。我们表明，纵向DMI摧毁了横向DMI保留的因素化属性。我们将缺乏因解性与破坏$ u（1）$旋转对称性在每个晶格位点上的局部磁化轴的破坏。从物理上讲，对称性的破裂表现在手性电流的存在中。尽管纵向DMI摧毁了因素方面的性能，但我们获得了一个“假性化的”字段（$ h_ {pf} $），在该字段中，纠缠并因此违反了$ u（1）$对称性是最小的。我们的计算表明$ h_ {pf} $处的相干基态。纠缠过渡（ET）发生在该领域，其特征是其附近的增强但有限的两旋旋转范围与ET对ET的分解范围的不同（$ h_ {f} $）相反。我们将不对称性与“框架”或国家充当某种测量的参考框架的能力联系起来。在没有纵向DMI（或在存在横向DMI的情况下）的情况下，在$ h_ {f} $的情况下，单个位点磁化轴指定完整系统的常见$ z $ - 轴，但由于缺乏相位参考而导致完整的笛卡尔参考框架。另一方面，在存在纵向DMI的情况下，我们的结果表明，在$ h_ {pf} $时，局部磁化和手性电流足以指定完整的笛卡尔参考框架，而手性电流为宏观量，以确定相位参考。
We investigate the factorization, coherence and asymmetry properties of the 1d Heisenberg spin-1/2 XXZ chain with Dzyaloshinskii-Moriya interaction (DMI) and a transverse magnetic field using quantum information measures. Both longitudinal and transverse DM vectors are considered. Using numerical DMRG, we compute the one-tangle, two-spin concurrence and the Wigner-Yananse-skew information. We show that a longitudinal DMI destroys the factorizability property while a transverse DMI preserves it. We relate the absence of factorizability to the breaking of the $U(1)$ rotation symmetry about the local magnetization axis at each lattice site. Physically, breaking of the symmetry manifests in the existence of a chiral current. Although the longitudinal DMI destroys factorizability, we obtain a `pseudofactorizing' field ($h_{pf}$) at which entanglement and hence violation of the $U(1)$ symmetry is minimal. Our calculations indicate a phase coherent ground state at $h_{pf}$. An entanglement transition (ET) occurs across this field which is characterized by an enhanced but finite range of two-spin concurrence in its vicinity in contrast with the diverging range of the concurrence for the ET across the factorizing field ($h_{f}$). We relate the asymmetry to the `frameness' or the ability for the state to act as a reference frame for some measurement. In absence of longitudinal DMI (or in presence of transverse DMI), at $h_{f}$, the single site magnetization axis specifies the common $z$-axis for the full system but not the full Cartesian reference frame due to a lack of phase reference. On the other hand, in the presence of a longitudinal DMI, our results indicate that at $h_{pf}$, the local magnetization and the chiral current are sufficient to specify the full Cartesian reference frame, with the chiral current being the macroscopic quantity to determine the phase reference.
