Entanglement entropy in free quantum field theory

By S. C. Bariloche, Ŕ. Negro. 2009

635 citations recorded by the source corpus.

In this review we first introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real time formalisms. Then we describe the particular examples which have been worked out explicitly in two, three and more dimensions.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f4c53d8345061bcd0416e99a1d16c046d01e80ed

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Holographic calculations of Rényi entropy (2011, background): “The potential ambiguity does not appear with the mutual information since the latter is free of any UV divergences — for example, see [25, 26].”
Holographic c-theorems in arbitrary dimensions (2010, background): “The mutual information is a combination of entanglement entropies given two spatial subsystems: I(A,B) = S(A) + S(B) − S(A ∪ B) – for example, see [73, 74].”
Entanglement entropy: Holography and renormalization group (2018, methodology): “13 φi, πj with indices i, j in the region A by (Casini and Huerta, 2009), φi = αiI(a † I + aI) , πj = −iβjJ(a†J − aJ) , (92) where αiI and βjJ are real matrices with the mixed indices of the coordinate space and the Fock space.”
Holographic Fermi surfaces and entanglement entropy (2011, background): “2) where ǫ is the UV cut off (ǫ → 0 in the UV limit); γ and α are numerical constants which represent the degrees of freedom [16, 17].”
Replica wormholes and the entropy of Hawking radiation (2019, background): “In particular, for a quantum ﬁeld theory the von Neumann entropy of some region can be computed by considering n copies of the original theory and choosing boundary conditions that connect the various copies inside the interval in a cyclic way, see e.g. [43] for a review.”
Relative entropy equals bulk relative entropy (2015, background): “In free field theory one can also obtain a relatively simple expression that is bilocal in the fields [17] for a general subregion of the vacuum state.”
On volumes of subregions in holography and complexity (2016, background): “g [1–18]) is a measure of the quantum correlations of a quantum state, and is extremely useful in many quantum systems, ranging from condensed matter physics to black hole physics.”
Reduced density matrix and internal dynamics for multicomponent regions (2009, background): “However, the generalization of these expressions to the continuum case is not known [10].”
Islands in Schwarzschild black holes (2020, neutral): “14) for a massless field in 4 spacetime dimensions is numerically evaluated [40] as κ = 0.”
Entanglement Entropy of Black Holes (2011, background): “A number of very nice reviews appeared in recent years that address the role of entanglement entropy for black holes [21, 90, 146, 54]; review the calculation of entanglement entropy in quantum field theory in flat spacetime [81, 37] and the role of the conformal symmetry [31]; and focus on the holo”
A refinement of entanglement entropy and the number of degrees of freedom (2012, background): “in [5, 30] as the universal part of the entanglement entropy in d = 2.”
Bulk locality from modular flow (2017, background): “This is how the entanglement entropy is computed in [17].”