The DOI matches its Crossref record; 41 of the 41 references it cites were found in a registry or an index.
Entanglement temperature and entanglement entropy of excited states
Open accessAbstract
A bstractWe derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the local ground state entanglement Hamiltonian derived by Casini, Huerta and Myers. The resulting reduced density matrix can be characterized by a spatially varying “entanglement temperature”. Using the entanglement Hamiltonian, we calculate the first order change in the entanglement entropy due to changes in conserved charges of the ground state, and find a local first law-like relation for the entanglement entropy. Our approach provides a field theory derivation and generalization of recent results obtained by holographic techniques. However, we note a discrepancy between our field theoretically derived results for the entanglement entropy of excited states with a non-uniform energy density and current holographic results in the literature. Finally, we give a CFT derivation of a set of constraint equations obeyed by the entanglement entropy of excited states in any dimension. Previously, these equations were derived in the context of holography.
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Citations
Cites
Notes on black-hole evaporation
Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.14.870 · Cited by 4,850
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Entanglement entropy and quantum field theory
Calabrese, P., & Cardy, J. (2004) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2004/06/p06002 · Cited by 3,275
Aspects of holographic entanglement entropy
Ryu, S., & Takayanagi, T. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/08/045 · Cited by 1,969
A covariant holographic entanglement entropy proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/07/062 · Cited by 1,822 · cited 1×
“This agrees with the result of [27] obtained via the replica trick and holographic calculations.”
ResultA Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
Geometric and renormalized entropy in conformal field theory
Holzhey, C., Larsen, F., & Wilczek, F. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90402-2 · Cited by 1,769
Entanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
Li, H., & Haldane, F. D. M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.010504 · Cited by 1,652
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
de Haro, S., Skenderis, K., & Solodukhin, S. N. (2001) · Communications in Mathematical Physics · doi:10.1007/s002200100381 · Cited by 1,536
Cited by
Gravitation from entanglement in holographic CFTs
Faulkner, T., Guica, M., Hartman, T., Myers, R. C., & Van Raamsdonk, M. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)051 · Cited by 520
Gravitational dynamics from entanglement “thermodynamics”
Lashkari, N., McDermott, M. B., & Van Raamsdonk, M. (2014) · Journal of High Energy Physics · doi:10.1007/jhep04(2014)195 · Cited by 281
Entanglement Hamiltonians in two-dimensional conformal field theory
Cardy, J., & Tonni, E. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/12/123103 · Cited by 257
Entropy, extremality, euclidean variations, and the equations of motion
Dong, X., & Lewkowycz, A. (2018) · Journal of High Energy Physics · doi:10.1007/jhep01(2018)081 · Cited by 135
Entropy, Extremality, Euclidean Variations, and the Equations of Motion
Dong, X., & Lewkowycz, A. (2017) · arXiv · doi:10.48550/arxiv.1705.08453 · Cited by 135
Metadata
- Authors
- Wong, G., Klich, I., Zayas, L. A. P., & Vaman, D.
- Venue
- Journal of High Energy Physics
- Published
- 2013-12
- Volume
- 2013
- Issue
- 12
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2161662899
- Cited by
- 257
- References
- 41
- FWCI
- 12.69
- Type
- journal article
- Language
- en
- Open access
- green
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