标题： 通过可积离散海森堡自旋链研究圈量子宇宙学的方法 显示英文标题

标题： An Approach to Loop Quantum Cosmology Through Integrable Discrete Heisenberg Spin Chains

摘要： 环量子宇宙学（LQC）的量子演化方程——量子哈密顿约束——是一个差分方程。 我们把真空 Bianchi I 可分离（局部旋转对称）模型中的 LQC 约束方程与一个可积的微分-差分非线性薛定谔型方程联系起来，该方程已知与凝聚态物理中的可积离散海森堡自旋链模型相关。 我们在线性区域内用一个简单的约束来说明这两个系统的相似性。 显示英文摘要

摘要： The quantum evolution equation of Loop Quantum Cosmology (LQC) -- the quantum Hamiltonian constraint -- is a difference equation. We relate the LQC constraint equation in vacuum Bianchi I separable (locally rotationally symmetric) models with an integrable differential-difference nonlinear Schr\"odinger type equation, which in turn is known to be associated with integrable, discrete Heisenberg spin chain models in condensed matter physics. We illustrate the similarity between both systems with a simple constraint in the linear regime.