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

2011/09/14 by Tomaž Prosen, Prosen, Tomaz
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Quantum many-body systems #Spectral Theory in Mathematical Physics #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1109.3124

openalex publication_date 2011/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This short note can be considered as a mathematical supplement to [Phys. Rev.\nLett. 106, 217206 (2011)], namely explaining in more detail how rigorous bound\non high-temperature spin stiffness is established in thermodynamic limit using\nthe almost-conserved Z-operator resulting from solving the boundary driven\nLindblad equation for the anisotropic Heisenberg (XXZ) spin 1/2 chain . No\nreference to techniques used in Suzuki's proofs of Mazur's bound is made, but\nquasi-local spin C* algebras and Lieb-Robinson bounds are invoked instead.\n

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