Entanglement Hamiltonians in two-dimensional conformal field theory
311 citations recorded by the source corpus.
We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular Hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These include known examples and new ones corresponding to the time-dependent scenarios of a global and local quench. In these latter cases the entanglement Hamiltonian depends on the momentum density as well as the energy density. In all cases the entanglement spectrum is that of the appropriate boundary CFT. We emphasize the role of boundary conditions at the entangling surface and the appearance of boundary entropies as universal O(1) terms in the entanglement entropy.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a3d72245e0777d194ab0d7c25f3929387bd6c07a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- J. Sorce
- Matthew Daws
- Bachir Bekka
- Narcisse Randrianantoanina
- Marius Junge
- J. Martin Lindsay
- Vladimir G. Pestov
- Thierry Giordano
In Condensed Matter Physics
In Geometry and Topology
Citations in the corpus
- Analyticity and the Unruh effect: a study of local modular flow (2024, background): “…theory (CFT) restricted to a ball in a conformally flat spacetime [10–12]; (ii) a global thermal state in two-dimensional CFT restricted to a Rindler wedge in Minkowski spacetime [13]; and (iii) a global thermal state in two-dimensional CFT restricted to an interval in Minkowski spacetime [14, 15].”