Topological relics of symmetry breaking: Winding numbers and scaling tilts from random vortex-antivortex pairs

Journal of Physics Condensed Matter

Volumn 25, Issue 40, 2013, Pages

  Zurek, W H ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KIBBLE-ZUREK MECHANISM; POWER LAW EXPONENT; POWER-LAW DEPENDENCES; PROBABILITY OF DETECTION; RANDOM DISTRIBUTION; SYMMETRY-BREAKING; TOPOLOGICAL CHARGES; VORTEX-ANTIVORTEX PAIRS;

DISPERSIONS; TOPOLOGY; WINDING;

VORTEX FLOW;

CHEMICAL MODEL; CHEMICAL STRUCTURE; COMPUTER SIMULATION; PHASE TRANSITION; STATISTICAL MODEL; ARTICLE;

COMPUTER SIMULATION; MODELS, CHEMICAL; MODELS, MOLECULAR; MODELS, STATISTICAL; PHASE TRANSITION;

EID: 84884892811     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/25/40/404209     Document Type: Article

References (39)

1. Kibble T W B 1976 Topology of cosmic domains and strings J. Phys. A: Math. Gen. 9 1387
2. Kibble T W B 1980 Some implications of a cosmological phase transition Phys. Rep. 67 183
3. Kibble T W B 2007 Phase transition dynamics in the lab and the universe Phys. Today 60 47-53
4. Zurek W H 1985 Cosmological experiments in superfluid helium? Nature 317 505
5. Zurek W H 1993 Cosmic strings in laboratory superfluids and the topological remnants of other phase transitions Acta Phys. Pol. B 24 1301
6. Zurek W H 1996 Cosmological experiments in condensed matter systems Phys. Rep. 276 177 (Pubitemid 126164697)
7. Liu F and Mazenko G F 1992 Defect-defect correlation in the dynamics of first-order phase transitions Phys. Rev. B 46 5963
8. Golubchik D, Polturak E and Koren G 2010 Evidence for long-range correlations within arrays of spontaneously created magnetic vortices in a Nb thin-film superconductor Phys. Rev. Lett. 104 247002
9. Das A, Sabbatini J and Zurek W H 2012 Winding up superfluid in a torus via Bose Einstein condensation Sci. Rep. 2 352
10. Maniv A, Polturak E and Koren G 2003 Observation of spontaneous flux during a rapid quench of a superconducting film Phys. Rev. Lett. 91 197001
11. Maniv A et al 2005 Observation of a new mechanism of spontaneous generation of magnetic flux in a superconductor Phys. Rev. Lett. 94 247005 (Pubitemid 41636500)
12. Uhlmann M, Schützhold R and Fischer U R 2007 Vortex quantum creation and winding number scaling in a quenched spinor Bose gas Phys. Rev. Lett. 99 120407 (Pubitemid 47438178)
13. Uhlmann M, Schützhold R and Fischer U R 2010 O(N) symmetry-breaking quantum quench: topological defects versus quasiparticles Phys. Rev. D 81 025017
14. Uhlmann M, Schützhold R and Fischer U R 2010 System size scaling of topological defect creation in a second-order dynamical quantum phase transition New J. Phys. 12 095020
15. Carmi R and Polturak E 1999 Search for spontaneous nucleation of magnetic flux during rapid cooling of YBa2Cu3O7-δ films through Tc Phys. Rev. B 60 7595-600
16. Hindmarsh M and Rajantie A 2000 Defect formation and local gauge invariance Phys. Rev. Lett. 85 4660-3 (Pubitemid 32070391)
17. Stephens G J, Bettencourt L M A and Zurek W H 2002 Critical dynamics of gauge systems: spontaneous vortex formation in 2D superconductors Phys. Rev. Lett. 88 137004
18. Kavoussanaki E, Monaco R and Rivers R J 2000 Testing the Kibble-Zurek scenario with annular Josephson tunnel junctions Phys. Rev. Lett. 85 3452-5
19. Monaco R, Mygind J, Aaroe M, Rivers R J and Koshelets V P 2006 Zurek-Kibble mechanism for the spontaneous vortex formation in Nb-Al/Alox/Nb Josephson tunnel junctions: new theory and experiment Phys. Rev. Lett. 96 180604
20. Su S-W, Gou S-C, Bradley A, Fialko O and Brand J 2013 Kibble-Zurek scaling and its breakdown for spontaneous generation of Josephson vortices in Bose-Einstein condensates Phys. Rev. Lett. 110 215302
21. Weir D J, Monaco R, Koshelets V P, Mygind J and Rivers R J 2013 Gaussianity revisited: exploring the Kibble-Zurek mechanism with superconducting rings (arXiv:1302.7296)
22. Dziarmaga J, Tylutki M and Zurek W H 2011 A ring of BEC pools as a trap for persistent flow Phys. Rev. B 84 094528
23. Saito H, Kawaguchi Y and Ueda M 2007 Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate Phys. Rev. A 76 043613 (Pubitemid 47569064)
24. Dziarmaga J, Meisner J and Zurek W H 2008 Winding up of the wavefunction phase by an insulator-to-superfluid transition in a ring of coupled Bose-Einstein condensates Phys. Rev. Lett. 101 115701
25. Monaco R, Aaroe M, Mygind J, Rivers R J and Koshelets V P 2006 New experiments for spontaneous vortex formation in Josephson tunnel junctions Phys. Rev. B 74 144513 (Pubitemid 44601555)
26. Monaco R, Mygind J, Rivers R J and Koshelets V P 2009 Spontaneous fluxoid formation in superconducting loops Phys. Rev. B 80 180501
27. Monaco R, Aaroe M, Mygind J, Rivers R J and Koshelets V P 2008 Spontaneous fluxon production in annular Josephson tunnel junctions in the presence of a magnetic field Phys. Rev. B 77 054509
28. Zurek W H, Dorner U and Zoller P 2005 Dynamics of a quantum phase transition Phys. Rev. Lett. 95 105701 (Pubitemid 41505777)
29. Dziarmaga J 2005 Dynamics of quantum phase transition: exact solution in quantum Ising model Phys. Rev. Lett. 95 245701 (Pubitemid 43272890)
30. Damski B 2005 The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective Phys. Rev. Lett. 95 035701 (Pubitemid 41506287)
31. Chae S C et al 2012 Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs Phys. Rev. Lett. 108 167603
32. Griffin S M, Lilienblum M, Delaney K, Kumagai Y, Fiebig M and Spaldin N A 2012 From multiferroics to cosmology: scaling behaviour and beyond in the hexagonal manganites Phys. Rev. X 2 041022
33. Vachaspati T and Vilenkin A 1984 Formation and evolution of cosmic strings Phys. Rev. D 30 2036
34. Spitzer F 1976 Principles of Random Walk (Berlin: Springer)
35. Gnedenko B V 1968 The Theory of Probability (New York: Chelsea)
36. Khamis H J 1987 On Buffon's needle problem using concentric circles Pi Mu Epsilon J. 8 368-76
37. Pyka K et al 2013 Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals Nature Commun. 4 2291
38. Ulm S et al 2013 Observation of the Kibble-Zurek scaling law for defect formation in ion crystals Nature Commun. 4 2290
39. Ejtemaee S and Haljan P C 2013 Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions Phys. Rev. A 87 051401