具有非厄米四次项的一维玻色紧束缚链中的守恒量
Conserved quantities in a bosonic tight-binding chain with non-Hermitian quartic terms
- The University of Tokyo（东京大学）
- Institute for Physics of Intelligence, The University of Tokyo（东京大学智能物理研究所）
- Trans-Scale Quantum Science Institute, The University of Tokyo（东京大学跨尺度量子科学研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究非厄米玻色子晶格中的局域守恒量，通过傅里叶变换和三角恒等式推导出相互对易的守恒量族，并扩展到多种相互作用形式，提供统一构造框架。
AI中文摘要：
我们研究了底层Yang-Baxter结构尚不明确的非厄米玻色子晶格系统中的局域守恒量。聚焦于具有产生算符四次相互作用的一维玻色子链，我们给出了先前由Sanatani和Shiraishi构造的局域守恒量的新表示。利用傅里叶变换和三角恒等式，我们系统地推导了这些守恒量，并直接证明它们构成一个相互对易的族。我们进一步将构造扩展到超出单格点的相互作用、三次相互作用、不对称跳跃以及在位势。我们的结果为这类非厄米多体系统中局域守恒量的构造和表征提供了一个统一框架。
英文摘要：
We investigate local conserved quantities in non-Hermitian bosonic lattice systems whose underlying Yang--Baxter structure remains unclear. Focusing on a one-dimensional bosonic chain with quartic interactions of creation operators, we provide a new representation of the local conserved quantities previously constructed by Sanatani and Shiraishi. Using Fourier transformation and trigonometric identities, we systematically derive these conserved quantities and show directly that they form a mutually commuting family. We further extend the construction to interactions extending beyond a single site, cubic interactions, asymmetric hopping, and an on-site potential. Our results provide a unified framework for constructing and characterizing local conserved quantities in this class of non-Hermitian many-body systems.
