2014/12/31 by Marcin Mierzejewski, P. Prelovšek, Peter Prelovsek +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anisotropy #Antiferromagnetism #Conservation law #Conserved quantity #Heisenberg model #Integrable system #Isotropy #Mathematical physics #Opinion Dynamics and Social Influence #Parity (physics) #Physics #Quantum many-body systems #Quantum mechanics #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.114.140601
published as Phys. Rev. Lett. 114, 140601 (2015) · 7 pages in RevTex with 5 eps figures, version as accepted in Phys.Rev.Lett
arxiv created 2015/03/31 · openalex publication_date 2015/04/08 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We outline a procedure for counting and identifying a complete set of local and quasilocal conserved operators in integrable lattice systems. The method yields a systematic generation of all independent, conserved quasilocal operators related to the time average of local operators with a support on up to M consecutive sites. As an example, we study the anisotropic Heisenberg spin-1/2 chain and show that the number of independent conserved operators grows linearly with M. In addition to the known local operators, there exist novel quasilocal conserved quantities in all the parity sectors. The existence of quasilocal conserved operators is shown also for the isotropic Heisenberg model. Implications for the anomalous relaxation of quenched systems are discussed as well.