How universal is the entanglement spectrum?

Physical Review Letters

Volumn 113, Issue 6, 2014, Pages

  Chandran, Anushya ^a,b   Khemani, Vedika ^a   Sondhi, S L ^a  

^a PRINCETON UNIVERSITY   (United States)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE TRANSITIONS;

BROKEN SYMMETRY; GROUND-STATE ENTANGLEMENT; LOW-ENERGY SPECTRA; PHYSICAL SYSTEMS; QUANTUM HALL SYSTEMS; QUANTUM PHASE TRANSITIONS;

GROUND STATE;

EID: 84905670763     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.060501     Document Type: Article

References (56)

1. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. 80, 517 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.517 (Pubitemid 351697445)
2. J. Eisert, M. Cramer, and M.B. Plenio, Rev. Mod. Phys. 82, 277 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.277
3. A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
4. M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
5. H. Li and F.D.M. Haldane, Phys. Rev. Lett. 101, 010504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
6. N. Bray-Ali, L. Ding, and S. Haas, Phys. Rev. B 80, 180504 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.180504
7. A.M. Läuchli, E.J. Bergholtz, J. Suorsa, and M. Haque, Phys. Rev. Lett. 104, 156404 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.156404
8. H. Yao and X.-L. Qi, Phys. Rev. Lett. 105, 080501 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.080501
9. E. Prodan, T.L. Hughes, and B.A. Bernevig, Phys. Rev. Lett. 105, 115501 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.115501
10. R. Thomale, A. Sterdyniak, N. Regnault, and B.A. Bernevig, Phys. Rev. Lett. 104, 180502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.180502
11. A.M. Turner, Y. Zhang, and A. Vishwanath, Phys. Rev. B 82, 241102 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.241102
12. L. Fidkowski, Phys. Rev. Lett. 104, 130502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.130502
13. F. Pollmann, A.M. Turner, E. Berg, and M. Oshikawa, Phys. Rev. B 81, 064439 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.064439
14. M. Kargarian and G.A. Fiete, Phys. Rev. B 82, 085106 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.085106
15. M. Hermanns, A. Chandran, N. Regnault, and B.A. Bernevig, Phys. Rev. B 84, 121309 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.121309
16. J. Dubail and N. Read, Phys. Rev. Lett. 107, 157001 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.157001
17. N. Regnault and B.A. Bernevig, Phys. Rev. X 1, 021014 (2011). PRXHAE 2160-3308 10.1103/PhysRevX.1.021014
18. A. Chandran, M. Hermanns, N. Regnault, and B.A. Bernevig, Phys. Rev. B 84, 205136 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.205136
19. Z. Papić, B.A. Bernevig, and N. Regnault, Phys. Rev. Lett. 106, 056801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.056801
20. T.L. Hughes, E. Prodan, and B.A. Bernevig, Phys. Rev. B 83, 245132 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.245132
21. X.-L. Qi, H. Katsura, and A.W.W. Ludwig, Phys. Rev. Lett. 108, 196402 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.196402
22. D. Poilblanc, N. Schuch, D. Pérez-García, and J.I. Cirac, Phys. Rev. B 86, 014404 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.014404
23. B. Swingle and T. Senthil, Phys. Rev. B 86, 045117 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045117
24. J.I. Cirac, D. Poilblanc, N. Schuch, and F. Verstraete, Phys. Rev. B 83, 245134 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.245134
25. M.A. Metlitski and T. Grover, arXiv:1112.5166.
26. V. Alba, M. Haque, and A.M. Läuchli, Phys. Rev. Lett. 108, 227201 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.227201
27. V. Alba, M. Haque, and A.M. Läuchli, Phys. Rev. Lett. 110, 260403 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.260403
28. F. Kolley, S. Depenbrock, I.P. McCulloch, U. Schollwöck, and V. Alba, Phys. Rev. B 88, 144426 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88. 144426
29. D. Poilblanc, Phys. Rev. Lett. 105, 077202 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.077202
30. S. Humeniuk and T. Roscilde, Phys. Rev. B 86, 235116 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.235116
31. I. Pizorn, F. Verstraete, and R.M. Konik, Phys. Rev. B 88, 195102 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.195102
32. A.J.A. James and R.M. Konik, Phys. Rev. B 87, 241103 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.241103
33. P. Calabrese and A. Lefevre, Phys. Rev. A 78, 032329 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.032329
34. P.D. Sacramento, N. Paunković, and V.R. Vieira, Phys. Rev. A 84, 062318 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.062318
35. G. De Chiara, L. Lepori, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. 109, 237208 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.237208
36. L. Lepori, G. De Chiara, and A. Sanpera, Phys. Rev. B 87, 235107 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.235107
37. S.M. Giampaolo, S. Montangero, F. Dell'Anno, S. De Siena, and F. Illuminati, Phys. Rev. B 88, 125142 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.125142
38. C. Fernández-González, N. Schuch, M.M. Wolf, J.I. Cirac, and D. Pérez-García, Phys. Rev. Lett. 109, 260401 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.260401
39. M.A. Metlitski, C.A. Fuertes, and S. Sachdev, Phys. Rev. B 80, 115122 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.80.115122
40. D.S. Rokhsar and S.A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376
41. C.L. Henley, J. Phys. Condens. Matter 16, S891 (2004). JCOMEL 0953-8984 10.1088/0953-8984/16/11/045
42. C. Castelnovo, C. Chamon, C. Mudry, and P. Pujol, Ann. Phys. (Amsterdam) 318, 316 (2005). APNYA6 0003-4916 10.1016/j.aop.2005.01.006 (Pubitemid 40864809)
43. E. Ardonne, P. Fendley, and E. Fradkin, Ann. Phys. (Amsterdam) 310, 493 (2004). APNYA6 0003-4916 10.1016/j.aop.2004.01.004 (Pubitemid 38457640)
44. R.R.P. Singh, R.G. Melko, and J. Oitmaa, Phys. Rev. B 86, 075106 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.075106
45. J.-M. Stéphan, G. Misguich, and V. Pasquier, Phys. Rev. B 82, 125455 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.125455
46. We thank M. Metlitiski and T. Grover for bringing this to our attention.
47. C. de C. Chamon and X.G. Wen, Phys. Rev. B 49, 8227 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.49.8227
48. A. Karlhede, S.A. Kivelson, K. Lejnell, and S.L. Sondhi, Phys. Rev. Lett. 77, 2061 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.2061
49. K. Yang, Phys. Rev. Lett. 91, 036802 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.036802
50. I. Peschel, J. Phys. A 36, L205 (2003). JPHAC5 0305-4470 10.1088/0305-4470/36/14/101
51. More generally, (Equation presented) is quadratic for any Slater determinant many-body state.
52. A. Kitaev, Ann. Phys. (Amsterdam) 321, 2 (2006). APNYA6 0003-4916 10.1016/j.aop.2005.10.005 (Pubitemid 43072824)
53. Y. Zhang, T. Grover, A. Turner, M. Oshikawa, and A. Vishwanath, Phys. Rev. B 85, 235151 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.235151
54. L. Cincio and G. Vidal, Phys. Rev. Lett. 110, 067208 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.067208
55. M.P. Zaletel, R.S.K. Mong, and F. Pollmann, Phys. Rev. Lett. 110, 236801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.236801
56. J. Cano, M. Cheng, M. Mulligan, C. Nayak, E. Plamadeala, and J. Yard, Phys. Rev. B 89, 115116 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.115116