Domain wall dynamics in integrable and chaotic spin-1/2 chains

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

Volumn 84, Issue 1, 2011, Pages

  Santos, Lea F ^a   Mitra, Aditi ^b  

^a YESHIVA UNIVERSITY   (United States)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC MODEL; CORRELATION FUNCTION; DELOCALIZATIONS; DOMAIN-WALL DYNAMICS; EIGENSTATES; LOCAL MAGNETIZATION; MAGNETIZATION DYNAMICS; NEAREST-NEIGHBOR COUPLING; NON-INTEGRABILITY; PARTICIPATION RATIOS; SPATIAL DELOCALIZATION; SPIN CURRENTS; TIME EVOLUTIONS;

COUPLINGS; HAMILTONIANS; MAGNETIZATION;

SPIN DYNAMICS;

EID: 79961125038     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.016206     Document Type: Article

References (56)

1. X. Zotos, F. Naef, and P. Prelovek, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.11029 55, 11029 (1997).
2. F. Heidrich-Meisner, A. Honecker, D. C. Cabra, and W. Brenig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.134436 68, 134436 (2003).
3. J. V. Alvarez and C. Gros, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.077203 88, 077203 (2002).
4. F. Heidrich-Meisner, A. Honecker, D. C. Cabra, and W. Brenig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.069703 92, 069703 (2004).
5. X. Zotos, J. Phys. Soc. Jpn. Suppl. 74, 173 (2005).
6. P. Jung, R. W. Helmes, and A. Rosch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.067202 96, 067202 (2006). (Pubitemid 43271115)
7. P. Jung and A. Rosch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 245108 76, 245108 (2007).
8. S. Mukerjee and B. S. Shastry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.245131 77, 245131 (2008).
9. S. Langer, F. Heidrich-Meisner, J. Gemmer, I. P. McCulloch, and U. Schollwöck, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.214409 79, 214409 (2009).
10. O. S. Barisic, P. Prelovek, A. Metavitsiadis, and X. Zotos, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.125118 80, 125118 (2009).
11. J. Sirker, R. G. Pereira, and I. Affleck, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.035115 83, 035115 (2011).
12. A. V. Sologubenko, K. Giannò, H. R. Ott, U. Ammerahl, and A. Revcolevschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2714 84, 2714 (2000);
13. A. V. Sologubenko, K. Giannò, H. R. Ott, A. Vietkine, and A. Revcolevschi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.054412 64, 054412 (2001).
14. C. Hess, C. Baumann, U. Ammerahl, B. Büchner, F. Heidrich-Meisner, W. Brenig, and A. Revcolevschi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.184305 64, 184305 (2001);
15. C. Hess, B. Büchner, U. Ammerahl, L. Colonescu, F. Heidrich-Meisner, W. Brenig, and A. Revcolevschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.197002 90, 197002 (2003).
16. M. Greiner and S. Fölling, Nature (London) NATUAS 0028-0836 10.1038/453736a 453, 736 (2008). (Pubitemid 351793774)
17. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
18. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
19. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008). (Pubitemid 351550863)
20. A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, e-print arXiv: 1007.5331.
21. D. M. Weld, P. Medley, H. Miyake, D. Hucul, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.245301 103, 245301 (2009).
22. D. Gobert, C. Kollath, U. Schollwöck, and G. Schütz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036102 71, 036102 (2005). (Pubitemid 40619782)
23. Zi Cai, Lei Wang, X. C. Xie, U. Schollwöck, X. R. Wang, M. Di Ventra, and Yupeng Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83. 155119 83, 155119 (2011).
24. R. Steinigeweg, J. Gemmer, and M. Michel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10118-5 75, 406 (2006). (Pubitemid 44231122)
25. L. F. Santos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.031125 78, 031125 (2008).
26. L. F. Santos, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3181223 50, 095211 (2009);
27. L. F. Santos, J. Phys.: Conf. Ser. JMAPAQ 1742-6588 10.1088/1742-6596/ 200/2/022053 200, 022053 (2010).
28. J. Mossel and J.-S. Caux, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055028 12, 055028 (2010).
29. T. Antal, Z. Rácz, A. Rákos, and G. M. Schütz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.59.4912 59, 4912 (1999).
30. J. Lancaster and A. Mitra, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.061134 81, 061134 (2010).
31. J. Lancaster, E. Gull, and A. Mitra, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.235124 82, 235124 (2010).
32. [http://www.maths.uq.edu.au/expokit/].
33. R. B. Sidje, ACM Trans. Math. Softw. ACMSCU 0098-3500 10.1145/285861.285868 24, 130 (1998).
34. J. D. Cloizeaux and M. Gaudin, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1705048 7, 1384 (1966).
35. B. Sutherland, Beautiful Models (World Scientific, New Jersey, 2005).
36. W. G. Brown, L. F. Santos, D. J. Starling, and L. Viola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.021106 77, 021106 (2008). (Pubitemid 351230746)
37. P. Jordan and E. Wigner, Z. Phys. EPJAFV 1434-6001 10.1007/BF01331938 47, 631 (1928).
38. H. A. Bethe, Z. Phys. EPJAFV 1434-6001 10.1007/BF01341708 71, 205 (1931);
39. M. Karbach and G. Müller, Comput. Phys. 11, 36 (1997).
40. Y. Avishai, J. Richert, and R. Berkovits, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.052416 66, 052416 (2002).
41. L. F. Santos, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/17/004 37, 4723 (2004). (Pubitemid 38652521)
42. T. C. Hsu and J. C. Angles d'Auriac, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.14291 47, 14291 (1993).
43. K. Kudo and T. Deguchi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1992 74, 1992 (2005). (Pubitemid 41276851)
44. T. Guhr, A. Mueller-Gröeling, and H. A. Weidenmüller, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00088-4 299, 189 (1998).
45. P. Prelovek and X. Zotos, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1509143 629, 161 (2002).
46. X. Zotos and P. Prelovek, in Strong Interactions in Low Dimensions, Physics and Chemistry of Materials with Low-Dimensional Structures (Kluwer Academic, Dordrecht/Norwell, MA, 2004), Chap. 11.
47. J. V. Alvarez and C. Gros, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.156603 89, 156603 (2002).
48. V. E. Korepin, N. M. Boloiubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, UK, 1993).
49. J. Sirker and M. Bortz, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2006/01/P01007 (2006) P01007.
50. S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.155104 79, 155104 (2009).
51. F. M. Izrailev, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90067-C 196, 299 (1990).
52. V. Zelevinsky, B. A. Brown, N. Frazier, and M. Horoi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00007-5 276, 85 (1996).
53. L. F. Santos and M. Rigol, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.036206 81, 036206 (2010).
54. M. Rigol and L. F. Santos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.011604 82, 011604 (R) (2010);
55. L. F. Santos and M. Rigol, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.031130 82, 031130 (2010), and references therein.
56. A. M. Läuchli and C. Kollath, J. Stat. Mech. PLRAAN 1742-5468 10.1088/1742-5468/2008/05/P05018 (2008) P05018.