The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Thermodynamical Property of Entanglement Entropy for Excited States
Open accessAbstract
We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the inverse of the subsystem size. This provides a universal relationship between the energy and the amount of quantum information. We derive the results using holography and confirm them in two-dimensional field theories. We will also comment on an example with negative specific heat and suggest a connection between the second law of thermodynamics and the strong subadditivity of entanglement entropy.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Self-citationEntanglement 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
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
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
Self-citationSrednicki, M. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.666 · Cited by 1,858
On the origin of gravity and the laws of Newton
Verlinde, E. (2011) · Journal of High Energy Physics · doi:10.1007/jhep04(2011)029 · Cited by 1,798
A Stress Tensor for Anti-de Sitter Gravity
Balasubramanian, V., & Kraus, P. (1999) · Communications in Mathematical Physics · doi:10.1007/s002200050764 · Cited by 1,658
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
Relative entropy and holography
Blanco, D. D., Casini, H., Hung, L.-Y., & Myers, R. C. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)060 · Cited by 375
Entanglement Tsunami: Universal Scaling in Holographic Thermalization
Liu, H., & Suh, S. J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.011601 · Cited by 369
Entanglement temperature and entanglement entropy of excited states
Wong, G., Klich, I., Zayas, L. A. P., & Vaman, D. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)020 · Cited by 257
Holographic entanglement entropy from 2d CFT: heavy states and local quenches
Asplund, C. T., Bernamonti, A., Galli, F., & Hartman, T. (2015) · Journal of High Energy Physics · doi:10.1007/jhep02(2015)171 · Cited by 280
Metadata
- Authors
- Bhattacharya, J., Nozaki, M., Takayanagi, T., & Ugajin, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-03-01
- Volume
- 110
- Issue
- 9
- Pages
- 091602-091602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1986869222
- Cited by
- 273
- References
- 34
- FWCI
- 17.33
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Thermodynamical Property of Entanglement Entropy for Excited States. https://app.cochat.ai/papers/10.1103/physrevlett.110.091602
- The paper
- Bhattacharya, J., Nozaki, M., Takayanagi, T., & Ugajin, T. (2013). Thermodynamical Property of Entanglement Entropy for Excited States. Physical Review Letters. https://doi.org/10.1103/physrevlett.110.091602
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
