标题： 长程量子相干性，海森堡XX链中的量子与经典关联 显示英文标题

标题： Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain

摘要： 对一维海森堡自旋-$\frac{1}{2}$ XX链的非最近邻自旋对的成对量子相干性、量子和经典关联进行了比较研究。 通过约当-维格纳映射，我们对链的哈密顿量进行对角化，并且也对此过程进行了数值验证。 使用“泡利基展开”形式，我们得到了在任何距离下研究的成对量。 然后，我们展示了量子关联在揭示量子相变中的作用，量子失谐对温度的鲁棒性，以及在量子自旋链的磁性和热区间内量子关联优于其经典对应物的主导地位。 最后，我们从资源驱动的角度阐述了新出现的量“量子相干性”，讨论了它作为长程量在检测量子相变中的作用，以及它在对抗温度方面的鲁棒性优于通常的量子关联度量，这表明其在量子信息处理框架中的潜在应用。 显示英文摘要

摘要： A comparative study of pairwise quantum coherence, quantum and classical correlations is addressed for non-nearest spin pairs of the 1D Heisenberg spin-$\frac{1}{2}$ XX chain. Following the Jordan-Wigner mapping, we diagonalise the hamiltonian of the chain and we check this procedure numerically as well. Using the "Pauli basis expansion" formalism we get the pairwise quantities studied in this work at any distance. We then, show the role of quantum correlations in revealing quantum phase transitions, the robustness of quantum discord to the temperature and the dominance of quantum correlations over their classical counterpart in the magnetic and thermal interval in quantum spin chains. We conclude the paper by shedding light from a resource-driven point of view on the new born quantity "quantum coherence" where we discuss its role in detecting quantum phase transitions being a long-range quantity, and how it outclasses the usual quantum correlations measures in the robustness against the temperature, which indicates potential uses in the framework of quantum information processing.