The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.
Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy
Open accessAbstract
Abstract In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on the particle spectrum of the theory and not on the details of the scattering matrix. We employ the “replica trick” whereby the entropy is obtained as the derivative with respect to n of the trace of the nth power of the reduced density matrix of the sub-system, evaluated at n=1. The main novelty of our work is the introduction of a particular type of twist fields in quantum field theory that are naturally related to branch points in an n-sheeted Riemann surface. Their two-point function directly gives the scaling limit of the trace of the nth power of the reduced density matrix. Taking advantage of integrability, we use the expansion of this two-point function in terms of form factors of the twist fields, in order to evaluate it at large distances in the two-particle approximation. Although this is a well-known technique, the new geometry of the problem implies a modification of the form factor equations satisfied by standard local fields of integrable quantum field theory. We derive the new form factor equations and provide solutions, which we specialize both to the Ising and sinh-Gordon models.
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Cites
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Self-citationEntanglement 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
Self-citationConcentrating partial entanglement by local operations
Bennett, C. H., Bernstein, H. J., Popescu, S., & Schumacher, B. (1996) · Physical Review A · doi:10.1103/physreva.53.2046 · Cited by 3,111
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Zamolodchikov, A. B., & Zamolodchikov, A. B. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90391-9 · Cited by 2,011
Scaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860
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 in a simple quantum phase transition
Osborne, T. J., & Nielsen, M. A. (2002) · Physical Review A · doi:10.1103/physreva.66.032110 · Cited by 1,472
Calculation of reduced density matrices from correlation functions
Peschel, I. (2003) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/36/14/101 · Cited by 1,096
Form Factors in Completely Integrable Models of Quantum Field Theory
Smirnov, F. A. (1992) · Advanced Series in Mathematical Physics · doi:10.1142/1115 · Cited by 917
Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
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
“The twist fields defined by (12), which have been called branch-point twist fields [12], are twist fields associated with the two opposite cyclic permutation symmetries i → i + 1 and i + 1 → i (i = 1, .”
BackgroundInfluentialSelf-citationEntanglement entropy in free quantum field theory
Casini, H., & Huerta, M. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504007 · Cited by 752
Entanglement entropy of two disjoint intervals in conformal field theory
Calabrese, P., Cardy, J., & Tonni, E. (2009) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2009/11/p11001 · Cited by 365
Self-citationBousso, R., Fisher, Z., Leichenauer, S., & Wall, A. C. (2016) · Physical Review D · doi:10.1103/physrevd.93.064044 · Cited by 330
Metadata
- Authors
- Cardy, J. L., Castro-Alvaredo, O. A., & Doyon, B.
- Venue
- Journal of Statistical Physics
- Published
- 2007-10-06
- Volume
- 130
- Issue
- 1
- Pages
- 129-168
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W2027861911
- Cited by
- 342
- References
- 39
- FWCI
- 6.72
- Type
- journal article
- Language
- en
- Open access
- green
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