Local and Quasilocal Conserved Quantities in Integrable Systems
arXiv:1412.6974 · 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 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. Besides 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.
7 pages in RevTex with 5 eps figures, version as accepted in Phys.Rev.Lett
References in corpus (12)
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Absence of Thermalization in Nonintegrable Systems
- Eigenstate thermalization within isolated spin-chain systems
- Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
- Exactly conserved quasilocal operators for the XXZ spin chain
- Breakdown of the generalized Gibbs ensemble for current-generating quenches
- Drude weight in systems with open boundary conditions
- Quantum quenches in the thermodynamic limit. II. Initial ground states