Quasilocal Conservation Laws in the Quantum Hirota Model
Lenart Zadnik, Tomaz Prosen
TL;DR
This paper develops a method to generate a continuous family of quasilocal conservation laws in the quantum Hirota model, enhancing understanding of integrable quantum dynamics and aiding quantum quench and transport studies.
Contribution
It introduces a procedure to derive quasilocal conservation laws from existing operators, with explicit calculations of the Hilbert-Schmidt kernel for these laws.
Findings
Explicit construction of quasilocal conservation laws.
Calculation of the Hilbert-Schmidt kernel for these laws.
Potential applications in quantum quench and transport phenomena.
Abstract
Extensivity of conservation laws of the quantum Hirota model on a 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.
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