On the reduced density matrix for a chain of free electrons

Abstract

The properties of the reduced density matrix describing an interval of N sites in an infinite chain of free electrons are investigated. A commuting operator is found for arbitrary filling and also for open chains. For a half filled periodic chain it is used to determine the eigenfunctions for the dominant eigenvalues analytically in the continuum limit. Relations to the critical six-vertex model are discussed.

8 pages, small changes, Equ.(24) corrected, final version

References in corpus (4)

• Entanglement in quantum critical phenomena
• Calculation of reduced density matrices from correlation functions
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Operator-Based Truncation Scheme Based on the Many-Body Fermion Density Matrix

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