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Mierzejewski M, Prelovšek P, Prosen T. Identifying local and quasilocal conserved quantities in integrable systems. Phys Rev Lett. 2015;114(14):140601doi: 10.1103/PhysRevLett.114.140601.
Mierzejewski, M., Prelovšek, P., & Prosen, T. (2015). Identifying local and quasilocal conserved quantities in integrable systems. Physical review letters, 114(14), 140601. https://doi.org/10.1103/PhysRevLett.114.140601
Mierzejewski, Marcin, et al. "Identifying local and quasilocal conserved quantities in integrable systems." Physical review letters vol. 114,14 (2015): 140601. doi: https://doi.org/10.1103/PhysRevLett.114.140601
Mierzejewski M, Prelovšek P, Prosen T. Identifying local and quasilocal conserved quantities in integrable systems. Phys Rev Lett. 2015 Apr 10;114(14):140601. doi: 10.1103/PhysRevLett.114.140601. Epub 2015 Apr 08. PMID: 25910103.
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Phys Rev Lett. 2015 Apr 10;114(14):140601. doi: 10.1103/PhysRevLett.114.140601. Epub 2015 Apr 08.

Identifying local and quasilocal conserved quantities in integrable systems.

Physical review letters

Marcin Mierzejewski, Peter Prelovšek, Tomaž Prosen

Affiliations

  1. Institute of Physics, University of Silesia, 40-007 Katowice, Poland.
  2. Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia.
  3. J. Stefan Institute, SI-1000 Ljubljana, Slovenia.

PMID: 25910103 DOI: 10.1103/PhysRevLett.114.140601

Abstract

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.

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