Entanglement and boundary critical phenomena

Zhou, H. Q., Barthel, T., Fjaerestad, J. O. and Schollwock, U. (2006) Entanglement and boundary critical phenomena. Physical Review A, 74 5: 050305-1-050305-4. doi:10.1103/PhysRevA.050305

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Author Zhou, H. Q.
Barthel, T.
Fjaerestad, J. O.
Schollwock, U.
Title Entanglement and boundary critical phenomena
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2006
Sub-type Article (original research)
DOI 10.1103/PhysRevA.050305
Open Access Status File (Publisher version)
Volume 74
Issue 5
Start page 050305-1
End page 050305-4
Total pages 4
Editor B Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2006
Language eng
Subject C1
240301 Atomic and Molecular Physics
780102 Physical sciences
Abstract 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 of the boundaries 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, is 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.
Keyword Physics, Atomic, Molecular & Chemical
Matrix Renormalization-group
Conformal Field-theory
Quantum
State
Models
Chain
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 09:42:13 EST