Entanglement spectrum in one-dimensional systems

Details Entanglement spectrum in one-dimensional systems Entanglement spectrum in one-dimensional systems

2008-06-18

arxiv.org/abs/0806.3059v2

Phys. Rev A 78, 032329 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, typos corrected, Refs added

Scientific paper

10.1103/PhysRevA.78.032329

We derive the distribution of eigenvalues of the reduced density matrix of a block of length l in a one-dimensional system in the scaling regime. The resulting "entanglement spectrum" is described by a universal scaling function depending only on the central charge of the underlying conformal field theory. This prediction is checked against exact results for the XX chain. We also show how the entanglement gap closes when l is large.

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