Entanglement entropy and the complex plane of replicas

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 1, 2010, Pages

  Gliozzi, Ferdinando ^a   Tagliacozzo, Luca ^b  

^a UNIVERSITY OF TURIN   (Italy)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Entanglement in extended quantum systems (theory); Ladders and planes (theory); Quantum phase transitions (theory); Spin chains

Indexed keywords

EID: 75849117309     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/01/P01002     Document Type: Article

References (36)

1. Amico L, Fazio R, Osterloh A and Vedral V 2008 Rev. Mod. Phys. 80 517 [arXiv:quant-ph/0703044]
2. Cardy J 2007 Eur. Phys. J. B 64 321 arXiv:0708.2978
3. Eisert J, Cramer M and Plenio MB 2008 arXiv:0808.3773
4. Rényi A 1970 Probability Theory (Amsterdam: North-Holland)
5. Tsallis C 1988 J. Stat. Phys. 52 479
6. Evenbly G and Vidal G 2009 Phys. Rev. Lett. 102 180406 arXiv:0811.0879
7. Verstraete F, Cirac JI and Murg V 2008 Adv. Phys. 57 143 arXiv:0907.2796
8. Holzhey C, Larsen F and Wilczek F 1994 Nucl. Phys. B 424 443 [arXiv:hep-th/9403108]
9. Calabrese P and Cardy J 2004 J. Stat. Mech. P06002 [arXiv:hep-th/0405152]
10. Calabrese P and Cardy J 2009 arXiv:0905.4013
11. Cardy JL, Castro-Alvaredo OA and Doyon B 2008 J. Stat. Phys. 130 1 arXiv:0706.3384
12. van Hemmen J J L and Palmer RG 1979 J. Phys. A: Math. Gen. 12 563
13. Metlitski MA, Fuertes CA and Sachdev S 2009 arXiv:0904.4477
14. Vidal G, Latorre JI, Rico E and Kitaev A 2003 Phys. Rev. Lett. 90 227902 [arXiv:quant-ph/0211074]
15. Its AR and Korepin V E 2009 arXiv:0906.4511
16. Tagliacozzo L, Evenbly G and Vidal G 2009 arXiv:0903.5017
17. Caraglio M and Gliozzi F 2008 J. High Energy Phys. JHEP11(2008)076 arXiv:0808.4094
18. Rieger H and Kawashima N 1999 Eur. Phys. J. B 9 233 [arXiv:cond-mat/ 9802104]
19. Blöte H W J and Deng Y 2002 Phys. Rev. E 66 066110
20. Jin B-Q and Korepin VE 2004 J. Stat. Phys. 116 79 [arXiv:quant-ph/ 0304108]
21. Its AR, Jin B-Q and Korepin VE 2005 J. Phys. A: Math. Gen. 38 2975 [arXiv:quant-ph/0409027]
22. Popkov V and Salerno M 2005 Phys. Rev. A 71 012301 [arXiv:quant-ph/ 0404026]
23. Nishino T 1995 J. Phys. Soc. Japan. 74 3598 [arXiv:cond-mat/9508111]
24. Peschel I 2004 J. Stat. Mech. P12005 [arXiv:cond-mat/0410416]
25. Franchini F, Its AR and Korepin VE 2008 J. Phys. A: Math. Theor. 41 025302 arXiv:0707.2534
26. Calabrese P and Lefevre A 2008 Phys. Rev. A 78 032329 arXiv:0806.3059
27. Casini H and Huerta M 2007 Nucl. Phys. B 764 183 [arXiv:hep-th/0606256]
28. Peschel I and Emery VJ 1981 Z. Phys. B 43 241
29. Fradkin E and Moore JE 2006 Phys. Rev. Lett. 97 050404 [arXiv:cond-mat/0605683]
30. Stéphan J-M, Furukawa S, Misguich G and Pasquier V 2009 Phys. Rev. 80 184421 arXiv:0906.1153
31. Yang CN and Lee TD 1952 Phys. Rev. 87 404
32. Lee TT and Yang CN 1952 Phys. Rev. 87 410
33. Ogure K and Kabashima K 2009 J. Stat. Mech. P05011 arXiv:0812.4655
34. Bennett CH, Bernstein HJ, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046 [arXiv:quant-ph/9511030]
35. Fradkin E 2009 arXiv:0906.1569
36. Flammia ST, Hamma A, Hughes TL and Wen X-G 2009 arXiv:0909.3305