Entanglement entropy and quantum field theory

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 6, 2004, Pages

  Calabrese, Pasquale ^a   Cardy, John ^a,b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b ALL SOULS COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84901001853     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2004/06/P06002     Document Type: Article

References (31)

1. Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Concentrating partial entanglement by local operations Phys. Rev. A 53 2046 [quant-ph/9511030]
2. Osterloh A, Amico L, Falci G and Fazio R 2002 Scaling of entanglement close to a quantum phase transitions Nature 416 608
3. Osborne T J and Nielsen M A 2002 Entanglement in a simple quantum phase transition Phys. Rev. A 66 32110 [quant-ph/0202162]
4. Barnum H, Knill E, Ortiz G, Somma R and Viola L 2004 A subsystem-independent generalization of entanglement Phys. Rev. Lett. 92 107902 [quant-ph/0305023]
5. Verstraete F, Martin-Delgado M A and Cirac J I 2004 Diverging entanglement length in gapped quantum spin systems Phys. Rev. Lett. 92 087201 [quant-ph/0311087]
6. Vidal G, Latorre J I, Rico E and Kitaev A 2003 Entanglement in quantum critical phenomena Phys. Rev. Lett. 90 227902
7. Latorre J I, Rico E and Vidal G 2004 Ground state entanglement in quantum spin chains Quant. Inf. Comput. 4 048 [quant-ph/0304098]
8. Latorre J I, Lutken C A, Rico E and Vidal G 2004 Fine-grained entanglement loss along renormalization group flows Preprint quant-ph/0404120
9. Jin B-Q and Korepin V E 2004 Quantum spin chain, Toeplitz determinants and Fisher-Hartwig conjecture J. Stat. Phys. 116 79 [quant-ph/0304108]
10. Lambert N, Emary C and Brandes T 2004 Entanglement and the phase transition in single mode super-radiance Phys. Rev. Lett. 92 073602 [quant-ph/0309027]
11. Casini H and Huerta M 2004 A finite entanglement entropy and the c-theorem Preprint hep-th/0405111
12. Holzhey C, Larsen F and Wilczek F 1994 Geometric and renormalized entropy in conformal field theory Nucl. Phys. B 424 44 [hep-th/9403108]
13. Cardy J and Peschel I 1988 Finite-size dependence of the free energy in two-dimensional critical systems Nucl. Phys. B 300 377
14. Affleck I and Ludwig A W W 1991 Universal non-integer 'ground-state degeneracy' in critical quantum systems Phys. Rev. Lett. 67 161
15. Srednicki M 1993 Entropy and area Phys. Rev. Lett. 71 666 [hep-th/9303048]
16. Korepin V E 2004 Universality of entropy scaling in 1D gap-less models Phys. Rev. Lett. 92 096402 [cond-mat/0311056]
17. Blöte H W J, Cardy J and Nightingale M P 1986 Conformal invariance, the central charge, and universal finite-size amplitudes at criticality Phys. Rev. Lett. 56 742
18. Affleck I 1986 Universal term in the free energy at a critical point and the conformal anomaly Phys. Rev. Lett. 56 746
19. Zamolodchikov A B 1986 Pis. Zh. Eksp. Teor. Fiz. 43 565
20. Zamolodchikov A B 1986 Irreversibility of the flux of the renormalization group in a 2D field theory JETP Lett. 43 731 (translation)
21. Tsallis C 1988 Possible generalization of Boltzmann-Gibbs statistics J. Stat. Phys. 52 479
22. Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Infinite conformal symmetry in two-dimensional quantum field theory Nucl. Phys. B 241 333
23. Cardy J 1984 Conformal invariance and surface critical behavior Nucl. Phys. B 240 514
24. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions (Washington, DC: National Bureau of Standards) (tenth printing)
25. Nishino T 1995 Density matrix renormalization group method for 2D classical models J. Phys. Soc. Japan 74 3598 [cond-mat/9508111]
26. Nishino T and Okunishi K 1997 Density matrix and renormalization for classical lattice models Strongly Correlated Magnetic and Superconducting Systems (Lecture Notes in Physics vol 478) (Berlin: Springer) p 167 [cond-mat/9610107]
27. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (San Diego, CA: Academic)
28. Peschel I, Kaulke M and Legeza O 1999 Density-matrix spectra for integrable models Ann. Phys. Lpz. 8 153 [cond-mat/9810174]
29. Watson G N 1944 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press)
30. Sneddon I N 1960 On some infinite series involving the zeros of Bessel functions of the first kind Proc. Glasgow Math. Assoc. 4 144
31. Cardy J 1983 Critical behaviour at an edge J. Phys. A: Math. Gen. 16 3617