Mutual information and boson radius in a c=1 critical system in one dimension

Physical Review Letters

Volumn 102, Issue 17, 2009, Pages

  Furukawa, Shunsuke ^a   Pasquier, Vincent ^b   Shiraishi, Jun'Ichi ^c  

^a RIKEN   (Japan)

^b CEA SACLAY   (France)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIC FIELD THEORIES; CHAIN MODELS; CONFORMAL FIELD THEORIES; CORRELATION FUNCTIONS; CRITICAL SYSTEMS; MUTUAL INFORMATIONS; ONE DIMENSIONS; ONE-DIMENSIONAL; QUANTUM CRITICAL; SCALE INVARIANTS; SCALING PROPERTIES;

BOSONS;

EID: 65549152481     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.170602     Document Type: Article

References (30)

1. F.D.M. Haldane, Phys. Rev. Lett. 45, 1358 (1980); PRLTAO 0031-9007 10.1103/PhysRevLett.45.1358
2. F.D.M. Haldane Phys. Rev. Lett. 47, 1840 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1840
3. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004).
4. H. Ishii, Nature (London) NATUAS 0028-0836 426, 540 (2003). 10.1038/nature02074
5. M. Klanjsek, Phys. Rev. Lett. 101, 137207 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.137207
6. T. Kinoshita, T. Wegner, and D.S. Weiss, Science 305, 1125 (2004); SCIEAS 0036-8075 10.1126/science.1100700
7. B. Paredes, Nature (London) NATUAS 0028-0836 429, 277 (2004). 10.1038/nature02530
8. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. NUPBBO 0550-3213 B424, 443 (1994). 10.1016/0550-3213(94)90402-2
9. G. Vidal, Phys. Rev. Lett. 90, 227902 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
10. B.-Q. Jin and V.E. Korepin, J. Stat. Phys. 116, 79 (2004). JSTPSB 0022-4715 10.1023/B:JOSS.0000037230.37166.42
11. P. Calabrese and J. Cardy, J. Stat. Mech. 1742-5468 (2004) P06002; 10.1088/1742-5468/2004/06/P06002
12. see also arXiv:hep-th/0405152 for a note added on the multiple-interval case.
13. N. Laflorencie, Phys. Rev. Lett. 96, 100603 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.100603
14. S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602
15. S. Ryu T. Takayanagi J. High Energy Phys. JHEPFG 1029-8479 08 (2006) 045. 10.1088/1126-6708/2006/08/045
16. C. Adami and N.J. Cerf, Phys. Rev. A 56, 3470 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.56.3470
17. V. Vedral, Phys. Rev. Lett. 78, 2275 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2275
18. ρA B-ρA ρB is used as an indicator of correlations in S.-A. Cheong and C.L. Henley, arXiv:0809.0075.
19. Furthermore, IA:B gives the ground-state degeneracy, reflecting the superposition of macroscopically distinct states [S. Furukawa and G. Misguich (unpublished)].
20. H. Casini and M. Huerta, Phys. Lett. B 600, 142 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.08.072
21. A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
22. M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
23. N.M. Bogoliubov, A.G. Izergin, and V.E. Korepin, Nucl. Phys. NUPBBO 0550-3213 B275, 687 (1986). 10.1016/0550-3213(86)90579-1
24. D.C. Cabra, A. Honecker, and P. Pujol, Phys. Rev. B PRBMDO 0163-1829 58, 6241 (1998). 10.1103/PhysRevB.58.6241
25. B. Nienhuis, M. Campostrini, and P. Calabrese, J. Stat. Mech. 1742-5468 (2009) P02063. 10.1088/1742-5468/2009/02/P02063
26. J.L. Cardy, O.A. Castro-Alvaredo, B. Doyon, J. Stat. Phys. 130, 129 (2007). JSTPSB 0022-4715 10.1007/s10955-007-9422-x
27. A.B. Zamolodchikov, Sov. Phys. JETP 63, 1061 (1986); SPHJAR 0038-5646
28. A.B. Zamolodchikov Nucl. Phys. NUPBBO 0550-3213 B285, 481 (1987); 10.1016/0550-3213(87)90350-6
29. L. Dixon, D. Friedan, E. Martinec, and S. Shenker, Nucl. Phys. NUPBBO 0550-3213 B282, 13 (1987). 10.1016/0550-3213(87)90676-6
30. M. Caraglio and F. Gliozzi, J. High Energy Phys. JHEPFG 1029-8479 11 (2008) 076. 10.1088/1126-6708/2008/11/076