Reduced density matrices and entanglement entropy in free lattice models

DOI10.1088/1751-8113/42/50/504003zbMATH Open1179.81032arXiv0906.1663OpenAlexW2141130841MaRDI QIDQ3654335

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Publication date: 5 January 2010

Published in: (Search for Journal in Brave)

Abstract: We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a certain free-particle Hamiltonian. We discuss the derivation of this result, the character of the Hamiltonian and its eigenstates, the single-particle spectra and the full spectra, the resulting entanglement and in particular the entanglement entropy. This is done for various one- and two-dimensional situations, including also the evolution after global or local quenches.

Full work available at URL: https://arxiv.org/abs/0906.1663

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