Entanglement entropy, decoherence, and quantum phase transitions of a dissipative two-level system

Annals of Physics

Volumn 323, Issue 9, 2008, Pages 2208-2240

  Hur, K Le ^a  

^a Yale University   (United States)

Author keywords

Decoherence; Dissipative two level systems; Entanglement entropy; Quantum phase transitions; Spin boson models

Indexed keywords

EID: 48749113447     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2007.12.003     Document Type: Article

References (85)

1. Caldeira A.O., and Leggett A.J. Phys. Rev. Lett. 46 (1981) 211
2. Blume M., Emery V.J., and Luther A. Phys. Rev. Lett. 25 (1970) 450
3. Leggett A.J., Chakravarty S., Dorsey A.T., Fisher M.P.A., Garg A., and Zwerger W. Rev. Mod. Phys. 59 (1987) 1
4. Weiss U. Quantum Dissipative Systems (1999), World Scientific, Singapore
5. Le Hur K., and Li M.-R. Phys. Rev. B 72 (2005) 073305
6. Le Hur K. Phys. Rev. Lett. 92 (2004) 196804
7. Li M.-R., Le Hur K., and Hofstetter W. Phys. Rev. Lett. 95 (2005) 086406
8. Vojta M. Phil. Mag. 86 (2006) 1807
9. von Neumann J. Nachr. Ges Wiss. Gttingen 273 (1927)
10. Wehrl A. Rev. Mod. Phys. 50 (1978) 221
11. Bennett C.H., DiVincenzo D.P., Smolin J.A., and Wootters W.K. Phys. Rev. A 54 (1996) 3824
12. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, arXiv:quant-ph/0703044 (submitted to Rev. Mod. Phys.).
13. Bulla R., Tong N.H., and Vojta M. Phys. Rev. Lett. 91 (2003) 170601
14. Bulla R., et al. Phys. Rev. B 71 (2005) 045122
15. Kopp A., and Le Hur K. Phys. Rev. Lett. 98 (2007) 220401
16. Le Hur K., Doucet-Beaupré Ph., and Hofstetter W. Phys. Rev. Lett. 99 (2007) 126801
17. Lesage F., and Saleur H. Phys. Rev. Lett. 80 (1998) 4370
18. Cedraschi P., Ponomarenko V.V., and Büttiker M. Phys. Rev. Lett. 84 (2000) 346
19. Cedraschi P., and Büttiker M. Ann. Phys. NY 289 (2001) 1
20. Makhlin Y., Schön G., and Shirnman A. Rev. Mod. Phys. 73 (2001) 357
21. R.J. Schoelkopf, A.A. Clerk, S.M. Girvin, K.W. Lehnert, in: Yu. V. Nazarov and Ya. M. Blanter (Eds.), cond-mat/0210247, contribution to "Quantum Noise".
22. Rimberg A.J., Ho T.R., Kurdak C., Clarke J., Campman K.L., and Gossard A.C. Phys. Rev. Lett. 78 (1997) 2632
23. A.J. Rimberg and W. Lu, arXiv:cond-mat/0205382.
24. Dyson F.J. Commun. Math. Phys. 12 (1969) 91
25. A.C. Hewson, Springer, Cambridge University Press, Cambridge, England, 1993.
26. Lebowitz J. Phys. Today 46 9 (1993) 32-38
27. Jaynes E.T., and Cummings F.W. Proc. Inst. Elec. Eng. 51 (1963) 89
28. Kosterlitz J.M. Phys. Rev. Lett. 37 (1976) 23
29. Anderson P.W., Yuval G., and Hamann D.R. Phys. Rev. B 1 (1970) 4464
30. Chakravarty S. Phys. Rev. Lett. 49 (1982) 681
31. Bray A.J., and Moore M.A. Phys. Rev. Lett. 49 (1982) 1545
32. Guinea F., Hakim V., and Muramatsu A. Phys. Rev. B 32 (1985) 4410
33. Young A.P., and Bohr T. J. Phys. C 14 (1981) 2713
34. Jordan A.N., and Büttiker M. Phys. Rev. Lett. 92 (2004) 247901
35. Klich I., Refael G., and Silva A. Phys. Rev. A 74 (2006) 032306
36. Osborne T.J., and Nielsen M.A. Quant. Inf. Proc. 1 (2002) 45
37. Vidal G. Phys. Rev. Lett. 93 (2004) 040502
38. Verstaete F., and Cirac J.I. Phys. Rev. B 73 (2006) 094423
39. Bombelli L., Koul R.K., Lee J., and Sorkin R.D. Phys. Rev. D 34 (1986) 373
40. Holzhey C., Larsen F., and Wilczek F. Nucl. Phys. B 424 (1994) 443
41. Calabrese P., and Cardy J. J. Stat. Mech. 0406 (2004) P002
42. Vidal G., Latorre J.I., Rico E., and Kitaev A. Phys. Rev. Lett. 90 (2003) 227902
43. Refael G., and Moore J.E. Phys. Rev. Lett. 93 (2004) 260602
44. Fradkin E., and Moore J.E. Phys. Rev. Lett. 97 (2006) 050404
45. Kitaev A., and Preskill J. Phys. Rev. Lett. 96 (2006) 110404
46. Fendley P., Fisher M.P.A., and Nayak C. Phys. Rev. Lett. 97 (2006) 036801
47. Fendley P., Fisher M.P.A., and Nayak C. Stat. Phys. 126 (2007) 1111
48. Levin M., and Wen X.G. Phys. Rev. Lett. 96 (2006) 110405
49. Ryu S., and Takayanagi T. Phys. Rev. Lett. 96 (2006) 181602
50. Sorensen E.S., Chang M.-S., Laflorencie N., and Affleck I. J. Stat. Mech. (2007) L01001
51. Kopp A., Jia X., and Chakravarty S. Ann. Phys. 322 (2007) 1466-1476
52. Costi T.A., and McKenzie R.H. Phys. Rev. A 68 (2003) 034301
53. Osborne T.J., and Nielsen M.A. Phys. Rev. A 66 (2002) 032110
54. Osterloh A., Amico L., Falci G., and Fazio R. Nature 416 (2002) 608
55. Toulouse G. C.R. Acad. Sc., Paris Série B 268 (1969) 1200
56. Nazarov Yu.V., and Ingold G.-L. In: Grabert H., and Devoret M.H. (Eds). Single Charge Tunneling (1992), Plenum Press, New York 21-107 Chap. 2
57. Dupont E., and Le Hur K. Phys. Rev. B 73 (2006) 045325
58. Filyov V.M., and Wiegmann P.B. Phys. Lett. 76A (1980) 283
59. Ponomarenko V.V. Phys. Rev. B 48 (1993) 5265
60. Anderson P.W., and Yuval G. J. Phys. C 4 (1971) 607-620
61. Costi T.A., and Zarand G. Phys. Rev. B 59 (1999) 12398
62. Görlich R., and Weiss U. Phys. Rev. B 38 (1988) 5245
63. Ghosh S., Rosenbaum T.F., Aeppli G., and Coppersmith S.N. Nature (London) 425 (2003) 48
64. Vedral V. Nature 425 (2003) 28
65. Brukner C., Vedral V., and Zeilinger A. Phys. Rev. A 73 (2006) 012110
66. E.S. Sorensen, M.-S. Chang, N. Laflorencie, and I. Affleck, arXiv:cond-mat/0703037 or J. Stat. Mech. (2007) P08003.
67. Sachdev S. Quantum Phase Transitions (1999), Cambridge University Press, Cambridge, U.K.
68. Tong N.-H., and Vojta M. Phys. Rev. Lett. 97 (2006) 016802
69. Vojta M., Tong N.-H., and Bulla R. Phys. Rev. Lett. 94 (2005) 070604
70. Glossop M.T., and Ingersent K. Phys. Rev. B 75 (2007) 104410
71. Ingersent K., and Si Q. Phys. Rev. Lett. 89 (2002) 076403
72. Lambert N., Emary C., and Brandes T. Phys. Rev. Lett. 92 (2004) 073602
73. Dicke R.H. Phys. Rev. 93 (1954) 99
74. Emary C., and Brandes T. Phys. Rev. E 67 (2003) 066203
75. Vidal J., and Dusuel S. Europhys. Lett. 74 (2006) 817
76. Holstein T., and Primakoff H. Phys. Rev. 58 (1949) 1098
77. Werner P., Troyer M., and Chakravarty S. Hys. Rev. Lett. 94 (2005) 047201
78. Pankov S., et al. Phys. Rev. B 69 (2004) 054426
79. Sachdev S., Werner P., and Troyer M. Phys. Rev. Lett. 92 (2004) 237003
80. P.P. Orth, I. Stanic, and K. Le Hur, arXiv:0711.2309.
81. Mehta P., and Andrei N. Phys. Rev. Lett. 96 (2006) 216802
82. Erratum: P. Mehta, S. p. Chao, and N. Andrei, arXiv:cond-mat/0703426.
83. P. Mehta and N. Andrei, arXiv:0710.0249.
84. Lehnert K.W., et al. Phys. Rev. Lett. 91 (2003) 106801
85. Recati A., et al. Phys. Rev. Lett. 94 (2005) 040404