Work

Density matrix of electrons coupled to Einstein phonons and the electron-phonon entanglement content of excited states

Year: 2022

Type: article

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 quasiparticle excited states but not in the electron-phonon coupled eigenmodes of the system.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.106.195404

Authors: Gergő Roósz, Karsten Held

Institutions: Institute for Solid State Physics and Optics, HUN-REN Wigner Research Centre for Physics, TU Wien

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Austrian Science Fund, National Research, Development and Innovation Office

Award: G2105779385