Entanglement and boundary critical phenomena

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.050305· OSTI ID:20974670

Huanqiang, Zhou ^[1]; Barthel, Thomas; Schollwoeck, Ulrich ^[2]; Fjaerestad, John Ove ^[3]

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1. Department of Physics, Chongqing University, Chongqing 400044 (China)
2. Institute for Theoretical Physics C, RWTH Aachen, D-52056 Aachen (Germany)
3. School of Physical Sciences, University of Queensland, Brisbane, Queensland 4072 (Australia)

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{sub {alpha}}, which includes the von Neumann entropy ({alpha}{yields}1) and the single-copy entanglement ({alpha}{yields}{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.

• OSTI ID: 20974670
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
ENTROPY
GROUND STATES
INFORMATION THEORY
ONE-DIMENSIONAL CALCULATIONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
RENORMALIZATION