The simplest quantum model supporting the kibble-zurek mechanism of topological defect production: Landau-zener transitions from a new perspective

Physical Review Letters

Volumn 95, Issue 3, 2005, Pages

  Damski, Bogdan ^a,b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

KIBBLE-ZUREK MECHANISM; LANDAU-ZENER TRANSITIONS; NONEQUILIBRIUM PHASE TRANSITIONS; TOPOLOGICAL DEFECT PRODUCTION;

DEFECTS; PHASE EQUILIBRIA; PHASE TRANSITIONS; TOPOLOGY;

QUANTUM THEORY;

EID: 27144488642     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.035701     Document Type: Article

References (22)

1. T.W.B. Kibble, J. Phys. A JPHAC5 0305-4470 9, 1387 (1976); 10.1088/0305-4470/9/8/029
2. T.W.B. Kibble Phys. Rep. 67, 183 (1980). PRPLCM 0370-1573 10.1016/0370-1573(80)90091-5
3. W.H. Zurek, Nature (London) NATUAS 0028-0836 317, 505 (1985); 10.1038/317505a0
4. W.H. Zurek Acta Phys. Pol. B 24, 1301 (1993); APOBBB 0587-4254
5. W.H. Zurek Phys. Rep. 276, 177 (1996). PRPLCM 0370-1573 10.1016/S0370-1573(96)00009-9
6. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon, London, 1958);
7. C. Zener, Proc. R. Soc. A PRLAAZ 0080-4630 137, 696 (1932).
8. C. Bauerle, Y.M. Bunkov, S.N. Fisher, H. Godfrin, and G.R. Pickett, Nature (London) NATUAS 0028-0836 382, 332 (1996); 10.1038/382332a0
9. V.M.H. Ruutu, Nature (London) NATUAS 0028-0836 382, 334 (1996); 10.1038/382334a0
10. M.J. Bowick, L. Chandar, E.A. Schiff, and A.M. Srivastava, Science SCIEAS 0036-8075 263, 943 (1994);
11. A. Maniv, E. Polturak, and G. Koren, Phys. Rev. Lett. 91, 197001 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.197001
12. J. Dziarmaga, A. Smerzi, W.H. Zurek, and A.R. Bishop, Phys. Rev. Lett. 88, 167001 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.167001
13. J. Dziarmaga A. Smerzi W.H. Zurek A.R. Bishop Patterns of Symmetry Breaking, edited by, H. Arodz, (Kluwer Academic, Dordrecht, 2003).
14. W. Wernsdorfer and R. Sessoli, Science SCIEAS 0036-8075 284, 133 (1999); 10.1126/science.284.5411.133
15. W. Wernsdorfer, J. Appl. Phys. 87, 5481 (2000). JAPIAU 0021-8979 10.1063/1.373379
16. For a detailed discussion of a vortex topological charge see, B. Damski and K. Sacha, J. Phys. A JPHAC5 0305-4470 36, 2339 (2003). 10.1088/0305-4470/36/ 9/311
17. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2001).
18. M. Vojta, Rep. Prog. Phys. 66, 2069 (2003). RPPHAG 0034-4885 10.1088/0034-4885/66/12/R01
19. N.V. Vitanov and B.M. Garraway, Phys. Rev. A PLRAAN 1050-2947 53, 4288 (1996); 10.1103/PhysRevA.53.4288
20. N.V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 59, 988 (1999). 10.1103/PhysRevA.59.988
21. N.D. Antunes, L.M.A. Bettencourt, and W.H. Zurek, Phys. Rev. Lett. 82, 2824 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.2824
22. P. Laguna and W.H. Zurek, Phys. Rev. Lett. 78, 2519 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2519