Entanglement and mutual information in two-dimensional nonrelativistic field theories

Abstract

We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression for the entanglement entropy of (1+1)-dimensional Lifshitz field theories --- this is done both at zero and finite temperature. Based on these results, we pose a conjecture for the anomaly coefficient of a Lifshitz field theory dual to new massive gravity. It is found that the Lifshitz entanglement entropy at finite temperature displays a striking similarity with that corresponding to a flat space cosmology in three dimensions. We claim that this structure is an inherent feature of the entanglement entropy for nonrelativistic conformal field theories. We finish by exploring the behavior of the mutual information for such theories.

23 pages, 4 figures; V2: references added, published version; V3: note added

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• Massive Gravity in Three Dimensions
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• Non-relativistic holography
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Cited by in corpus (11)

• Lifshitz holography
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Interplay between the holographic QCD phase diagram and mutual & $n$-partite information
• Gravitational anomalies, entanglement entropy, and flat-space holography
• Massless Lifshitz Field Theory for Arbitrary $z$
• First Law of Entanglement Entropy in Flat-Space Holography
• On the Shape of Things: From holography to elastica
• Entanglement after Quantum Quenches in Lifshitz Scalar Theories
• Non-local Probes in Holographic Theories with Momentum Relaxation