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Cited by 329

The DOI matches its Crossref record; 138 of the 138 references it cites were found in a registry or an index.

Quasilocal charges in integrable lattice systems

Open access
Ilievski, Enej, Medenjak, Marko, Prosen, Tomaž, Zadnik, Lenart·2016·Journal of Statistical Mechanics: Theory and Experiment
DOI 10.1088/1742-5468/2016/06/064008
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Abstract

We review recent progress in understanding the notion of locality in integrable quantum lattice systems. The central concept are the so-called quasilocal conserved quantities, which go beyond the standard perception of locality. Two systematic procedures to rigorously construct families of quasilocal conserved operators based on quantum transfer matrices are outlined, specializing on anisotropic Heisenberg XXZ spin-1/2 chain. Quasilocal conserved operators stem from two distinct classes of representations of the auxiliary space algebra, comprised of unitary (compact) representations, which can be naturally linked to the fusion algebra and quasiparticle content of the model, and non-unitary (non-compact) representations giving rise to charges, manifestly orthogonal to the unitary ones. Various condensed matter applications in which quasilocal conservation laws play an essential role are presented, with special emphasis on their implications for anomalous transport properties (finite Drude weight) and relaxation to non-thermal steady states in the quantum quench scenario.

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Metadata

Authors
Ilievski, E., Medenjak, M., Prosen, T., & Zadnik, L.
Venue
Journal of Statistical Mechanics: Theory and Experiment
Publisher
IOP Publishing
Published
2016-06-27
Volume
2016
Issue
6
Pages
064008
ISSN
1742-5468 (ISSN-L)
DOI
10.1088/1742-5468/2016/06/064008
OpenAlex
W2290361138
Cited by
329
References
138
FWCI
22.23
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: Quasilocal charges in integrable lattice systems. https://app.cochat.ai/papers/10.1088/1742-5468/2016/06/064008
The paper
Ilievski, E., Medenjak, M., Prosen, T., & Zadnik, L. (2016). Quasilocal charges in integrable lattice systems. Journal of Statistical Mechanics: Theory and Experiment. https://doi.org/10.1088/1742-5468/2016/06/064008

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