Thermodynamic limit of Mazur bound on the spin stiffness of XXZ chain, using the almost-conserved Z-operator

Tomaz Prosen

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arXiv · 1109.3124

Thermodynamic limit of Mazur bound on the spin stiffness of XXZ chain, using the almost-conserved Z-operator

Tomaz Prosen

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Abstract

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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Tomaz Prosen. 2012-05-19. Thermodynamic limit of Mazur bound on the spin stiffness of XXZ chain, using the almost-conserved Z-operator. https://arxiv.org/abs/1109.3124

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