Quasilocal conservation laws in the quantum Hirota model

The extensivity of the quantum Hirota model's conservation laws on a 1  +  1 dimensional lattice is considered. This model can be interpreted in terms of an integrable many-body quantum Floquet dynamics. We establish the procedure to generate a continuous family of quasilocal conservation laws...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2017-06, Vol.50 (26), p.265203
Main Authors: Zadnik, Lenart, Prosen, Toma
Format: Article
Language:English
Subjects:
conservation laws
Hirota model
quantum integrability
quasilocality
sine-Gordon model
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Summary:The extensivity of the quantum Hirota model's conservation laws on a 1  +  1 dimensional lattice is considered. This model can be interpreted in terms of an integrable many-body quantum Floquet dynamics. We establish the procedure to generate a continuous family of quasilocal conservation laws from the conserved operators proposed by Faddeev and Volkov. The Hilbert-Schmidt kernel which allows the calculation of inner products of these new conservation laws is explicitly computed. This result has potential applications in quantum quench and transport problems in integrable quantum field theories.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa6e09