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arXiv 1612.09079math-phcond-mat.stat-mechmath.MP
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量子Hirota模型中的准定域守恒律

Quasilocal Conservation Laws in the Quantum Hirota Model

Lenart Zadnik, Tomaz Prosen

摘要:

研究了$1+1$维格点上量子Hirota模型守恒律的可拓性。这个模型可以用可积的多体量子Floquet动力学来解释。我们建立的程序,以产生一个连续的家庭拟局部守恒律从保守的运营商提出的Faddeev和Volkov。显式计算的希尔伯特-施密特内核,允许这些新的守恒律的内积的计算。这一结果在可积量子场论的量子猝灭和输运问题中具有潜在的应用。

英文摘要:

Extensivity of conservation laws of the quantum Hirota model 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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