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Journal of Statistical Physics

Atomic versus ionized states in many-particle systems and the spectra of reduced density matrices: A model study

Joel L. Lebowitz, Nicolas Macris, Philippe A. Martin

Published Jun 1, 1992• 3 citations
Publisher
DOI
10.1007/bf01049005

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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.
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