Logarithmic negativity in quantum Lifshitz theories

A bstract We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a correlator approach to obtain analytic results for b...

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Bibliographic Details
Published in:The journal of high energy physics 2020-09, Vol.2020 (9), p.1-50, Article 11
Main Authors: Angel-Ramelli, J., Berthiere, C., Puletti, V. Giangreco M., Thorlacius, L.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conformal Field Theory
Elementary Particles
Field Theories in Higher Dimensions
Field Theories in Lower Dimensions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a correlator approach to obtain analytic results for both open and periodic biharmonic chains. In 2+1 dimensions we use a replica method and consider spherical and toroidal spatial manifolds. In all cases, the universal finite part of the logarithmic negativity vanishes for mixed states defined on two disjoint components. For mixed states defined on adjacent components, we find a non-trivial logarithmic negativity reminiscent of two-dimensional conformal field theories. As a byproduct of our calculations, we obtain exact results for the odd entanglement entropy in 2+1 dimensions.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2020)011