论文标题
电子与声子和激发态的电子 - 音波纠缠含量耦合的电子矩阵
Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
论文作者
论文摘要
我们在可分析可解的电子模型中得出电子的精确降低密度矩阵。在这里，电子被描述为与爱因斯坦语音子耦合的Luttinger液体。我们进一步得出了电子纠缠的分析表达式，其频谱和互信息在有限的温度和零温度以及激发态下。对于准粒子激发态的动量，纠缠熵是添加的，但在系统的电子偶联特征模中却不是。
We derive the exact reduced density matrix for the electrons in an analytically solvable electron-phonon model. Here, the electrons are described as a Luttinger liquid that is coupled to Einstein phonons. We further derive analytical expressions for the electron-phonon entanglement, its spectrum and mutual information at finite and zero temperature as well as for excited states. The entanglement entropy is additive in momentum for the quasi-particle excited states, but not in the electron-phonon coupled eigenmodes of the system.
