论文标题
量子相干性和双量子量子相变的量子列表和菱形单离子各向异性在生物段旋转1和-2 XY链中
Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
论文作者
论文摘要
我们使用菱形单离子各向异性研究了无限生物段旋转1和-2 XY链中的量子相变和量子相干性。所有被考虑的连贯性措施，例如$ L_1 $连贯性的规范，相干性的相对熵以及量子Jensen-Shannon Divergence，而量子相互信息始终显示出Spin-1系统发生的奇异行为，这使身份量子过渡可以实现。对于Spin-2系统，连贯性和量子相互信息的相对熵正确地检测到整个系统参数范围内没有奇异的行为，而相干性的$ L_1 $标准和量子Jensen-Shannon差异显示出其一阶衍生物的奇异行为相互冲突。检查局部磁矩和自旋四极力矩，导致对整个参数空间中零磁矩的自旋四极矩的新序列明确鉴定。我们为自旋-1系统和Spin-2系统的两个双轴旋转四极阶段和两个双轴自旋列相。对于自旋2系统，两个正交双轴旋列态是绝热连接的，而无需明确的相变，可以称为量子交叉。量子交叉区域是通过使用量子保真度估算的。对于自旋1系统，这两个不连续的量子相变发生在三个不同的单轴自旋列相之间。我们讨论与量子相变（包括量子交叉）有关的量子相干度量和量子互信息。
We investigate quantum phase transitions and quantum coherence in infinite biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy. All considered coherence measures such as the $l_1$ norm of coherence, the relative entropy of coherence, and the quantum Jensen-Shannon divergence, and the quantum mutual information show consistently that singular behaviors occur for the spin-1 system, which enables to identity quantum phase transitions. For the spin-2 system, the relative entropy of coherence and the quantum mutual information properly detect no singular behavior in the whole system parameter range, while the $l_1$ norm of coherence and the quantum Jensen-Shannon divergence show a conflicting singular behavior of their first-order derivatives. Examining local magnetic moments and spin quadrupole moments lead to the explicit identification of novel orderings of spin quadrupole moments with zero magnetic moments in the whole parameter space. We find the three uniaxial spin nematic quadrupole phases for the spin-1 system and the two biaxial spin nematic phases for the spin-2 system. For the spin-2 system, the two orthogonal biaxial spin nematic states are connected adiabatically without an explicit phase transition, which can be called quantum crossover. The quantum crossover region is estimated by using the quantum fidelity. Whereas for the spin-1 system, the two discontinuous quantum phase transitions occur between three distinct uniaxial spin nematic phases. We discuss the quantum coherence measures and the quantum mutual information in connection with the quantum phase transitions including the quantum crossover.
