BlondeauFournier, O., Castro Alvaredo, O. and Doyon, B. (2016). Universal scaling of the logarithmic negativity in massive quantum field theory. Journal of Physics A: Mathematical and Theoretical, 49(12), doi: 10.1088/17518113/49/12/125401
Abstract
We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1 + 1dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length r and an adjacent semiinfinite region, and that between two semiinfinite regions separated by a distance r. We show that the former saturates to a finite value, and that the latter tends to zero, as r > ∞. We show that in both cases, the leading corrections are exponential decays in r (described by modified Bessel functions) that are solely controlled by the mass spectrum of the model, independently of its scattering matrix. This implies that, like the entanglement entropy (EE), the logarithmic negativity displays a very high level of universality, allowing one to extract information about the mass spectrum. Further, a study of subleading terms shows that, unlike the EE, a larger analysis of the negativity allows for the detection of bound states.
Publication Type:  Article 

Subjects:  Q Science > QA Mathematics 
Departments:  School of Mathematics, Computer Science & Engineering > Mathematics 
URI:  http://openaccess.city.ac.uk/id/eprint/13480 

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