Entanglement spectra of critical and near-critical systems in one dimension

New Journal of Physics

Volumn 12, Issue , 2010, Pages

  Pollmann, F ^a   Moore, J E ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE RESULTS; BIPARTITE SYSTEMS; CORRELATION LENGTHS; CRITICAL SYSTEMS; EIGENVALUES; ENTANGLEMENT ENTROPY; EXACT RESULTS; FINITE MATRICES; GENERAL MODEL; INFINITE TIME; INTEGRABLE MODELS; LATTICE MODELS; ONE DIMENSION; PURE STATE; REDUCED-DENSITY MATRIX; SINGLE PARAMETER; TRANSVERSE ISING MODELS;

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; ISING MODEL;

QUANTUM ENTANGLEMENT;

EID: 77949512657     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/12/2/025006     Document Type: Article

References (41)

1. Calabrese P and Lefevre A 2008 Phys. Rev. A 78 032329
2. Peschel I and Eisler V 2009 arXiv:0906.1663
3. Schmidt E 1907 Math. Ann. 63
4. Li H and Haldane F D M 2008 Phys. Rev. Lett. 101 010504
5. Regnault N, Andrei Bernevig B and Haldane F 2009 arXiv:0901.2121
6. Levin M and Wen X-G 2006 Phys. Rev. Lett. 96 110405
7. Kitaev A and Preskill J 2006 Phys. Rev. Lett. 96 110404
8. Haque M, Zozulya O and Schoutens K 2007 Phys. Rev. Lett. 98 060401
9. Zozulya O S, Haque M, Schoutens K and Rezayi E H 2007 Phys. Rev. B 76 125310
10. Vidal G 2007 Phys. Rev. Lett. 98 070201
11. Holzhey C, Larsen F and Wilczek F 1994 Nucl. Phys. B 424 443
12. Vidal G, Latorre J I, Rico E and Kitaev A 2003 Phys. Rev. Lett. 90 227902
13. Calabrese P and Cardy J 2004 J. Stat. Mech. (2004) P06002
14. Ryu S and Takayanagi T 2006 Phys. Rev. Lett. 96 181602
15. Fradkin E and Moore J E 2006 Phys. Rev. Lett. 97 050404
16. Metlitski M A, Fuertes C A and Sachdev S 2009 arXiv:0904.4477
17. Hsu B, Mulligan M, Fradkin E and Kim E-A 2009 Phys. Rev. B 79 115421
18. Furukawa S, Pasquier V and Shiraishi J 2009 Phys. Rev. Lett. 102 170602
19. Wolf M M 2006 Phys. Rev. Lett. 96 010404
20. Srednicki M 1993 Phys. Rev. Lett. 71 666
21. Cramer M, Eisert J, Plenio M B and Dreißig J 2006 Phys. Rev. A 73 012309
22. Eisert J and Cramer M 2005 Phys. Rev. A 72 042112
23. Peschel I and Zhao J 2005 J. Stat. Mech. (2005) P11002
24. Orús R, Latorre J I, Eisert J and Cramer M 2006 Phys. Rev. A 73 060303
25. Orús R 2005 Phys. Rev. A 71 052327
26. Okunishi K, Hieida Y and Akutsu Y 1999 Phys. Rev. E 59 R6227
27. Jin B-Q and Korepin V E 2004 J. Stat. Phys. 116 (1-4) 79-95
28. Its A R and Korepin V E 2009 arXiv: 0906.4511
29. White S R 1992 Phys. Rev. Lett. 69 2863
30. Östlund S and Rommer S 1995 Phys. Rev. Lett. 75 3537
31. Pollmann F, Mukerjee S, Turner A M and Moore J E 2009 Phys. Rev. Lett. 102 255701
32. Tagliacozzo L, de Oliveira T R, Iblisdir S and Latorre J I 2008 Phys. Rev. B 78 024410
33. Eisert J, Cramer M and Plenio M B 2010 Rev. Mod. Phys. 82 277
34. Peschel I 2004 J. Stat. Mech. (2004) P12005
35. Peschel I, Kaulke M and Legeza O 1999 Ann. Phys. Lpz 8 153
36. Baxter 1982 Exactly Solved Models in Statistical Mechanics (New York: Academic)
37. Nienhuis B, Campostrini M and Calabrese P 2009 J. Stat. Mech. (2009) P02063
38. Alcaraz F C and Martins M J 1988 J. Phys. A: Math. Gen. 21 L381
39. Itoi C and Kato M-H 1997 Phys. Rev. B 55 8295
40. Läuchli A, Schmid G and Trebst S 2006 Phys. Rev. B 74 144426
41. Fuehringer M, Rachel S, Thomale R, Greiter M and Schmitteckert P 2008 Ann. Phys. 17 922