Identifying Local and Quasilocal Conserved Quantities in Integrable Systems

Marcin Mierzejewski, Peter Prelovšek, and Tomaž Prosen
Phys. Rev. Lett. 114, 140601 – Published 8 April 2015
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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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  • Received 22 December 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.140601

© 2015 American Physical Society

Authors & Affiliations

Marcin Mierzejewski1, Peter Prelovšek2,3, and Tomaž Prosen2

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

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Issue

Vol. 114, Iss. 14 — 10 April 2015

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