The entanglement entropy and the logarithmic negativity can be computed in quantum field theory through a method based on the replica limit. Performing these analytic continuations in some cases is beyond our current knowledge, even for simple models. We employ a numerical method based on rational interpolations to extrapolate the entanglement entropy of two disjoint intervals for the conformal field theories given by the free compact boson and the Ising model. The case of three disjoint intervals is studied for the Ising model and the non compact free massless boson. For the latter model, the logarithmic negativity of two disjoint intervals has been also considered. Some of our findings have been checked against existing numerical results obtained from the corresponding lattice models.

Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations / De Nobili, Cristiano; Coser, Andrea; Tonni, Erik. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2015:6(2015), pp. 1-27. [10.1088/1742-5468/2015/06/P06021]

Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations

De Nobili, Cristiano;Coser, Andrea;Tonni, Erik
2015-01-01

Abstract

The entanglement entropy and the logarithmic negativity can be computed in quantum field theory through a method based on the replica limit. Performing these analytic continuations in some cases is beyond our current knowledge, even for simple models. We employ a numerical method based on rational interpolations to extrapolate the entanglement entropy of two disjoint intervals for the conformal field theories given by the free compact boson and the Ising model. The case of three disjoint intervals is studied for the Ising model and the non compact free massless boson. For the latter model, the logarithmic negativity of two disjoint intervals has been also considered. Some of our findings have been checked against existing numerical results obtained from the corresponding lattice models.
2015
2015
6
1
27
P06021
https://doi.org/10.1088/1742-5468/2015/06/P06021
https://arxiv.org/abs/1501.04311
De Nobili, Cristiano; Coser, Andrea; Tonni, Erik
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32562
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