Logarithmic current fluctuations in nonequilibrium quantum spin chains

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 6, 2008, Pages

  Antal, T ^a   Krapivsky, P L ^b,c   Rakos A ^d  

^a HARVARD UNIVERSITY   (United States)

^b Boston University   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

^d INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

GROWTH (MATERIALS); SPIN FLUCTUATIONS;

CRITICAL REGIONS; CURRENT FLUCTUATIONS; INITIAL STATES; LOGARITHMIC GROWTHS; NON EQUILIBRIUMS; QUANTUM SPIN CHAINS; TOTAL SPINS;

SPIN DYNAMICS;

EID: 58149216378     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.061115     Document Type: Article

References (45)

1. T. Ligget, Interacting Particle Systems (Springer-Verlag, New York, 1985).
2. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. Lebowitz, (Academic, New York, 1995), Vol. 17.
3. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. Lebowitz, (Academic, London, 2000), Vol. 19.
4. M. Prähofer and H. Spohn, Phys. Rev. Lett. 84, 4882 (2000). 10.1103/PhysRevLett.84.4882
5. P. A. Ferrari and L. R. G. Fontes, Ann. Probab. 22, 820 (1994). 10.1214/aop/1176988731
6. B. Derrida and J. L. Lebowitz, Phys. Rev. Lett. 80, 209 (1998). 10.1103/PhysRevLett.80.209
7. J. L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999). 10.1023/A:1004589714161
8. K. Johansson, Commun. Math. Phys. 209, 437 (2000). 10.1007/s002200050027
9. T. Bodineau and B. Derrida, Phys. Rev. Lett. 92, 180601 (2004). 10.1103/PhysRevLett.92.180601
10. R. J. Harris, A. Rákos, and G. M. Schütz, J. Stat. Mech.: Theory Exp. 2005, P08003. 10.1088/1742-5468/2005/08/P08003
11. T. Sasamoto, J. Phys. A 38, L549 (2005). 10.1088/0305-4470/38/33/L01
12. P. L. Ferrari and H. Spohn, Commun. Math. Phys. 265, 1 (2006). 10.1007/s00220-006-1549-0
13. A. Rákos and G. M. Schütz, Markov Processes Relat. Fields 12, 323 (2006).
14. S. Prolhac and K. Mallick, J. Phys. A 41, 175002 (2008). 10.1088/1751-8113/41/17/175002
15. B. Derrida, J. Stat. Mech.: Theory Exp. 2007, P07023. 10.1088/1742-5468/2007/07/P07023
16. Y. Castin, in Ultra-cold Fermi Gases, edited by, M. Inguscio, W. Ketterle and, C. Salomon, (IOS Press, Amsterdam, 2007) Vol. 164 of Proceedings of the International School of Physics "Enrico Fermi", p. 289.
17. T. Antal, Z. Rácz, A. Rákos, and G. M. Schütz, Phys. Rev. E 59, 4912 (1999). 10.1103/PhysRevE.59.4912
18. D. Gobert, C. Kollath, U. Schollwöck, and G. Schütz, Phys. Rev. E 71, 036102 (2005). 10.1103/PhysRevE.71.036102
19. Y. Ogata, Phys. Rev. E 66, 016135 (2002). 10.1103/PhysRevE.66.016135
20. D. Karevski, Eur. Phys. J. B 27, 147 (2002).
21. V. Hunyadi, Z. Rácz, and L. Sasvári, Phys. Rev. E 69, 066103 (2004). 10.1103/PhysRevE.69.066103
22. S. Abreit and D. Karevski, Eur. Phys. J. B 30, 77 (2002). 10.1140/epjb/e2002-00333-4
23. T. Platini and D. Karevski, Eur. Phys. J. B 48, 255 (2005). 10.1140/epjb/e2005-00401-3
24. T. Platini and D. Karevski, J. Phys. A 40, 1711 (2007). 10.1088/1751-8113/40/8/002
25. Y. Ogata, Phys. Rev. E 66, 066123 (2002). 10.1103/PhysRevE.66.066123
26. T. Antal, Z. Rácz, and L. Sasvári, Phys. Rev. Lett. 78, 167 (1997). 10.1103/PhysRevLett.78.167
27. T. Antal, Z. Rácz, A. Rákos, and G. M. Schütz, Phys. Rev. E 57, 5184 (1998). 10.1103/PhysRevE.57.5184
28. J. Cardy and P. Suranyi, Nucl. Phys. B 565, 487 (2000). 10.1016/S0550-3213(99)00567-2
29. D. S. Kosov, J. Chem. Phys. 120, 7165 (2004). 10.1063/1.1687316
30. Z. Rácz, J. Stat. Phys. 101, 273 (2000). 10.1023/A:1026478508888
31. V. Eisler, Z. Rácz, and F. van Wijland, Phys. Rev. E 67, 056129 (2003). 10.1103/PhysRevE.67.056129
32. T. Niemeijer, Physica (Amsterdam) 36, 377 (1967). 10.1016/0031-8914(67) 90235-2
33. J. A. Tjon, Phys. Rev. B 2, 2411 (1970). 10.1103/PhysRevB.2.2411
34. E. Barouch and M. Dresden, Phys. Rev. Lett. 23, 114 (1969). 10.1103/PhysRevLett.23.114
35. F. Iglói and H. Rieger, Phys. Rev. Lett. 85, 3233 (2000). 10.1103/PhysRevLett.85.3233
36. G. O. Berim, S. I. Berim, and G. G. Cabrera, Phys. Rev. B 66, 094401 (2002). 10.1103/PhysRevB.66.094401
37. F. C. Alcaraz, S. R. Salinas, and W. F. Wreszinski, Phys. Rev. Lett. 75, 930 (1995). 10.1103/PhysRevLett.75.930
38. T. Matsui, Lett. Math. Phys. 37, 397 (1996). 10.1007/BF00312671
39. S. Lukyanov, Phys. Rev. B 59, 11163 (1999). 10.1103/PhysRevB.59.11163
40. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004).
41. I. Affleck, J. Phys. A 31, 4573 (1998). 10.1088/0305-4470/31/20/002
42. K. Schönhammer, Phys. Rev. B 75, 205329 (2007). 10.1103/PhysRevB.75. 205329
43. I. Klich and L. Levitov, e-print arXiv:0804.1377.
44. Ya. M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000). 10.1016/S0370-1573(99)00123-4
45. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Elsevier, Amsterdam, 2007).