Bi-partite entanglement entropy in massive QFT with a boundary: The ising model

Journal of Statistical Physics

Volumn 134, Issue 1, 2009, Pages 105-145

  Castro Alvaredo, Olalla A ^a   Doyon, Benjamin ^b  

^a CITY UNIVERSITY   (United Kingdom)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58549104593     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9664-2     Document Type: Article

References (40)

1. C.H. Bennet H.J. Bernstein S. Popescu B. Schumacher 1996 Concentrating partial entanglement by local operations Phys. Rev. A 53 2046 2052
2. A. Osterloh L. Amico G. Falci R. Fazio 2002 Scaling of entanglement close to a quantum phase transition Nature 416 608 610
3. T.J. Osborne M.A. Nielsen 2002 Entanglement in a simple quantum phase transition Phys. Rev. A 66 032110
4. H. Barnum E. Knill G. Ortiz R. Somma L. Viola 2004 A subsystem-indepndent generalization of entanglement Phys. Rev. Lett. 92 107902
5. F. Verstraete M.A. Martin-Delgado J.I. Cirac 2004 Diverging entanglement length in gapped quantum spin systems Phys. Rev. Lett. 92 087201
6. J.L. Cardy O.A. Castro-Alvaredo B. Doyon 2007 Form factors of branch-point twist fields in quantum integrable models and entanglement entropy J. Stat. Phys. 130 129 168
7. O.A. Castro-Alvaredo B. Doyon 2008 Bi-partite entanglement entropy in integrable models with backscattering J. Phys. A 41 275203
8. Doyon, B.: Bi-partite entanglement entropy in massive two-dimensional quantum field theory, 0803.1999
9. L. Bombelli R.K. Koul J.-H. Lee R.D. Sorkin 1986 A quantum source of entropy for black holes Phys. Rev. D 34 373 383
10. J. Callan G. Curtis F. Wilczek 1994 On geometric entropy Phys. Lett. B 333 55 61
11. P. Calabrese J.L. Cardy 2005 Evolution of entanglement entropy in one-dimensional systems J. Stat. Mech. 0504 P010
12. M. Karowski 1979 Exact S matrices and form-factors in (1+1)-dimensional field theoretic models with soliton behaviour Phys. Rep. 49 229 237
13. A.B. Zamolodchikov A.B. Zamolodchikov 1979 Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Ann. Phys. 120 253 291
14. Abdalla, E., Abdalla, M.C.B., Rothe, K.D.: Non-perturbative Methods in Two-Dimensional Quantum Field Theory. World Scientific, Singapore (1991)
15. G. Mussardo 1992 Off critical statistical models: Factorized scattering theories and bootstrap program Phys. Rep. 218 215 379
16. Dorey, P.: Exact S matrices. hep-th/9810026
17. M. Karowski P. Weisz 1978 Exact S matrices and form-factors in (1+1)-dimensional field theoretic models with soliton behavior Nucl. Phys. B 139 455 476
18. Smirnov, F.: Form Factors in Completely Integrable Models of Quantum Field Theory. Adv. Series in Math. Phys., vol. 14. World Scientific, Singapore (1992)
19. I.V. Cherednik 1984 Factorizing particles on a half line and root systems Theor. Math. Phys. 61 977 983
20. E.K. Sklyanin 1988 Boundary conditions for integrable quantum systems J. Phys. A 21 2375 2389
21. A. Fring R. Köberle 1994 Affine Toda field theory in the presence of reflecting boundaries Nucl. Phys. B 419 647 664
22. S. Ghoshal A.B. Zamolodchikov 1994 Boundary S matrix and boundary state in two-dimensional integrable quantum field theory Int. J. Mod. Phys. A 9 3841 3886
23. A. Fring R. Köberle 1995 Boundary bound states in affine Toda field theory Int. J. Mod. Phys. A 10 739 752
24. P. Bowcock E. Corrigan P.E. Dorey R.H. Rietdijk 1995 Classically integrable boundary conditions for affine Toda field theories Nucl. Phys. B 445 469 500
25. I. Affleck A.W.W. Ludwig 1991 Universal noninteger 'ground state degeneracy' in critical quantum systems Phys. Rev. Lett. 67 161 164
26. J.L. Cardy D.C. Lewellen 1991 Bulk and boundary operators in conformal field theory Phys. Lett. B 259 274 278
27. L.D. Faddeev 1980 Quantum completely integral models of field theory Sov. Sci. Rev. C 1 107 155
28. B.-Q. Jin V. Korepin 2004 Quantum spin chain, Toeplitz determinants and Fisher-Hartwig conjecture J. Stat. Phys. 116 79 95
29. R. Konik A. LeClair G. Mussardo 1996 On Ising correlation functions with boundary magnetic field Int. J. Mod. Phys. A 11 2765 2782
30. H. Casini C.D. Fosco M. Huerta 2005 Entanglement and alpha entropies for a massive Dirac field in two dimensions J. Stat. Mech. 0507 P007
31. H. Casini M. Huerta 2005 Entanglement and alpha entropies for a massive scalar field in two dimensions J. Stat. Mech. 0512 P012
32. H. Casini M. Huerta 2004 A finite entanglement entropy and the c-theorem Phys. Lett. B 600 142 150
33. H. Casini 2004 Geometric entropy, area, and strong subadditivity Class. Quantum Gravity 21 2351 2378
34. D. Friedan A. Konechny 2004 On the boundary entropy of one-dimensional quantum systems at low temperature Phys. Rev. Lett. 93 030402
35. Peschel, I.: On the entanglement entropy for a XY spin chain, J. Stat. Mech., P12005 (2004)
36. P. Calabrese J.L. Cardy 2004 Entanglement entropy and quantum field theory J. Stat. Mech. 0406 P002
37. H.-Q. Zhou T. Barthel J.O. Fjærestad U. Schollwöck 2006 Entanglement and boundary critical phenomena Phys. Rev. A 74 050305(R)
38. Iglói, F., Lin, Y.-C.: Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings, J. Stat. Mech., P06004 (2008)
39. P. Dorey A. Lishman C. Rim R. Tateo 2006 Reflection factors and exact g-functions for purely elastic scattering theories Nucl. Phys. B 744 239 276
40. G. Delfino P. Simonetti J.L. Cardy 1996 Asymptotic factorisation of form factors in two-dimensional quantum field theory Phys. Lett. B 387 327 333