Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
arXiv:2206.10408 · doi:10.1103/PhysRevB.106.195404
Abstract
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.
arXiv comment9 pages, 4 figures
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