Entanglement and boundary critical phenomena

Details Entanglement and boundary critical phenomena Entanglement and boundary critical phenomena

2005-11-30

arxiv.org/abs/cond-mat/0511732v1

Phys. Rev. A 74, 050305(R) (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.74.050305

We investigate boundary critical phenomena from a quantum information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S_alpha, which includes the von Neumann entropy (alpha=1) and the single-copy entanglement (alpha=infinity) as special cases. We identify the contribution from the boundary entropy to the Renyi entropy, and show that there is an entanglement loss along boundary renormalization group (RG) flows. This property, which is intimately related to the Affleck-Ludwig g-theorem, can be regarded as a consequence of majorization relations between the spectra of the reduced density matrix along the boundary RG flows. We also point out that the bulk contribution to the single-copy entanglement is half of that to the von Neumann entropy, whereas the boundary contribution is the same.

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