Scaling of the entanglement spectrum near quantum phase transitions

The entanglement spectrum describing quantum correlations in many-body systems has been recently recognized as a key tool to characterize different quantum phases, including topological ones. Here we derive its analytically scaling properties in the vicinity of some integrable quantum phase transiti...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-06, Vol.87 (23), Article 235107
Main Authors: Lepori, L., De Chiara, G., Sanpera, A.
Format: Article
Language:English
Subjects:
Character recognition
Condensed matter
Eigenvalues
Entanglement
Mathematical analysis
Mathematical models
Phase transformations
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Summary:The entanglement spectrum describing quantum correlations in many-body systems has been recently recognized as a key tool to characterize different quantum phases, including topological ones. Here we derive its analytically scaling properties in the vicinity of some integrable quantum phase transitions and extend our studies also to nonintegrable quantum phase transitions in onedimensional spin models numerically. Our analysis shows that, in all studied cases, the scaling of the difference between the two largest nondegenerate Schmidt eigenvalues yields with good accuracy critical points and mass scaling exponents.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.87.235107