使用几乎保守的Z-算子,Mazur界对XXZ链自旋刚度的热力学极限
Thermodynamic limit of Mazur bound on the spin stiffness of XXZ chain, using the almost-conserved Z-operator
摘要:
这个简短的说明可以被认为是一个数学的补充[物理。106,217206(2011)],即更详细地解释如何使用几乎守恒的Z算子在热力学极限中建立对高温自旋刚度的严格限制,所述几乎守恒的Z算子由求解各向异性海森堡(XXZ)自旋1/2链的边界驱动的林德布拉德方程产生。没有提到铃木的马祖尔界限的证明中使用的技术,但准局部自旋C* 代数和Lieb-Robinson界限被调用。
英文摘要:
This short note can be considered as a mathematical supplement to [Phys. Rev. Lett. 106, 217206 (2011)], namely explaining in more detail how rigorous bound on high-temperature spin stiffness is established in thermodynamic limit using the almost-conserved Z-operator resulting from solving the boundary driven Lindblad equation for the anisotropic Heisenberg (XXZ) spin 1/2 chain . No reference to techniques used in Suzuki's proofs of Mazur's bound is made, but quasi-local spin C* algebras and Lieb-Robinson bounds are invoked instead.
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