Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 50, Issue 16, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aa6268
Keywords
entanglement; conformal field theory; quantum fields on curved spacetime
Categories
Funding
- Spanish government [FIS-2012-33642, FIS-2012-38866-C05-1, FIS2015-69167-C2-1-P]
- Madrid regional government [QUITEMAD + S2013/ICE-2801]
- Centro de Excelencia Severo Ochoa Programme [SEV-2012-0249]
- CNRS 'Defi Inphyniti'
- Conseil Regional and Universite de Lorraine
- ERC [279391 EDEQS]
Ask authors/readers for more resources
The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half- chain entanglement entropy growing linearly with the system size. Although many exact results about the rainbow chain are known, the structure of the underlying quantum field theory has not yet been unraveled. Here we show that the universal scaling features of this model are captured by a massless Dirac fermion in a curved spacetime with constant negative curvature R = - h(2) (h is the amplitude of the inhomogeneity). This identification allows us to use recently developed techniques to study inhomogeneous conformal systems and to analytically characterise the entanglement entropies of more general bipartitions. These results are carefully tested against exact numerical calculations. Finally, we study the entanglement entropies of the rainbow chain in thermal states, and find that there is a non-trivial interplay between the rainbow effective temperature T-R and the physical temperature T.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available