Fidelity approach to Gaussian transitions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 6, 2008, Pages

  Tzeng, Yu Chin ^a   Hung, Hsiang Hsuan ^b   Chen, Yung Chung ^a   Yang, Min Fong ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLOGRAPHY; GAUSSIAN DISTRIBUTION; KETONES; MICROFLUIDICS; SPIN DYNAMICS; STATISTICAL MECHANICS; TRELLIS CODES;

AMERICAN PHYSICAL SOCIETY (APS); DENSITY-MATRIX RENORMALIZATION GROUP (DMRG); GAUSSIAN; GAUSSIAN TRANSITIONS; GENERAL (CO); LARGE SIZES; QUANTUM PHASE TRANSITION (QPT); SPIN CHAINS; TRANSITION (JEL CLASSIFICATIONS:E52 ,E41 ,E31);

PHASE TRANSITIONS;

EID: 45249100695     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.062321     Document Type: Article

References (59)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
3. For a recent review, see L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.517 80, 517 (2008).
4. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.140604 96, 140604 (2006).
5. P. Zanardi and N. Paunković, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.031123 74, 031123 (2006).
6. W. L. You, Y. W. Li, and S. J. Gu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.022101 76, 022101 (2007).
7. P. Zanardi, P. Giorda, and M. Cozzini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.100603 99, 100603 (2007).
8. H. Q. Zhou, J. H. Zhao, H. L. Wang, and B. Li, e-print arXiv:0711.4651.
9. P. Zanardi, M. Cozzini, and P. Giorda, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) L02002.
10. M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.014439 75, 014439 (2007).
11. M. Cozzini, R. Ionicioiu, and P. Zanardi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.104420 76, 104420 (2007).
12. H. Q. Zhou and J. P. Barjaktarevic, e-print arXiv:cond-mat/0701608
13. H. Q. Zhou, J. H. Zhao, and B. Li, e-print arXiv:0704.2940
14. H. Q. Zhou, e-print arXiv:0704.2945.
15. H. Q. Zhou, R. Orús, and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.080601 100, 080601 (2008).
16. A. Tribedi and I. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032307 77, 032307 (2008).
17. P. Buonsante and A. Vezzani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.110601 98, 110601 (2007).
18. N. Oelkers and J. Links, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.115119 75, 115119 (2007).
19. S. Chen, L. Wang, S. J. Gu, and Y. Wang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.061108 76, 061108 (2007).
20. W. Q. Ning, S. J. Gu, C. Q. Wu, and H. Q. Lin, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/23/235236 20, 235236 (2008)
21. H. M. Kwok, W. Q. Ning, S. J. Gu, and H. Q. Lin, e-print arXiv:0710.2581.
22. L. Campos Venuti and P. Zanardi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.095701 99, 095701 (2007).
23. S. J. Gu, H. M. Kwok, W. Q. Ning, and H. Q. Lin, e-print arXiv:0706.2495.
24. M. F. Yang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.180403 76, 180403 (R) (2007), where an error of factor 2 in some results of the fidelity in the Luttinger liquid phase has been corrected recently.
25. J. O. Fjærestad, e-print arXiv:0712.3439.
26. Y. C. Tzeng and M. F. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.012311 77, 012311 (2008).
27. S. Chen, L. Wang, Y. Hao, and Y. Wang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032111 77, 032111 (2008).
28. L. Campos Venuti, M. Cozzini, P. Buonsante, F. Massel, N. Bray-Ali, and P. Zanardi, e-print arXiv:0801.2473.
29. P. Zanardi, H. T. Quan, X. G. Wang, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032109 75, 032109 (2007)
30. P. Zanardi, L. Campos Venuti, and P. Giorda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.062318 76, 062318 (2007)
31. P. Zanardi and M. G. A. Paris, e-print arXiv:0708.1089.
32. N. Paunković and V. R. Vieira, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.011129 77, 011129 (2008).
33. N. Paunković, P. D. Sacramento, P. Nogueira, V. R. Vieira, and V. K. Dugaev, e-print arXiv:0708.3494.
34. A. Hamma, W. Zhang, S. Haas, and D. A. Lidar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.155111 77, 155111 (2008).
35. J. H. Zhao and H. Q. Zhou, e-print arXiv:0803.0814.
36. S. Yang, S. J. Gu, C. P. Sun, and H. Q. Lin, e-print arXiv:0803.1292.
37. D. F. Abasto, A. Hamma, and P. Zanardi, e-print arXiv:0803.2243.
38. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992)
39. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993)
40. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005).
41. H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.6372 34, 6372 (1986).
42. M. den Nijs and K. Rommelse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.4709 40, 4709 (1989).
43. W. Chen, K. Hida, and B. C. Sanctuary, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.104401 67, 104401 (2003).
44. C. Degli Esposti Boschi, E. Ercolessi, F. Ortolani, and M. Roncaglia, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00299-7 35, 465 (2003).
45. L. Campos Venuti, C. Degli Esposti Boschi, M. Roncaglia, and A. Scaramucci, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.010303 73, 010303 (R) (2006).
46. L. Campos Venuti, C. Degli Esposti Boschi, E. Ercolessi, G. Morandi, F. Ortolani, S. Pasini, and M. Roncaglia, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00342-3 53, 11 (2006).
47. S. Lukyanov and A. Zamolodchikov, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(97)00123-5 493, 571 (1997).
48. M. E. Fisher and M. N. Barber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.1516 28, 1516 (1972)
49. M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, London, 1983), Vol. 8, p. 145.
50. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
51. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2 424, 443 (1994).
52. V. E. Korepin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 096402 92, 096402 (2004).
53. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P06002.
54. N. Laflorencie, E. S. Sørensen, M. S. Chang, and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100603 96, 100603 (2006).
55. H. Q. Zhou, T. Barthel, J. O. Fjærestad, and U. Schollwöck, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.050305 74, 050305 (R) (2006).
56. For a recent review, see J. Cardy, e-print arXiv: 0708.2978.
57. S. Qin, M. Fabrizio, and Yu. Lu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R9643 54, R9643 (1996)
58. S. Qin, M. Fabrizio, L. Yu, M. Oshikawa, and I. Affleck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.9766 56, 9766 (1997).
59. I. P. McCulloch, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) P10014.