메뉴 건너뛰기




Volumn 366, Issue 1877, 2008, Pages 2953-2972

Phase transition in space: How far does a symmetry bend before it breaks?

Author keywords

Avoided level crossing; Landau Zener tunnelling; Phase transitions; Quantum phase transitions; Topological excitations

Indexed keywords

ARSENIC COMPOUNDS; FERROMAGNETISM; ISING MODEL; MAGNETISM;

EID: 47249117969     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0069     Document Type: Article
Times cited : (62)

References (58)
  • 1
    • 0000842188 scopus 로고    scopus 로고
    • Vortices in the wake of rapid Bose Einstein condensation
    • doi:10.1103/PhysRevLett.83.1707
    • Anglin, J. R. & Zurek, W. H. 1999 Vortices in the wake of rapid Bose Einstein condensation. Phys. Rev. Lett. 83, 1707-1710. (doi:10.1103/PhysRevLett.83.1707)
    • (1999) Phys. Rev. Lett , vol.83 , pp. 1707-1710
    • Anglin, J.R.1    Zurek, W.H.2
  • 2
    • 4243566210 scopus 로고    scopus 로고
    • Vortex string formation in a 3D U(1) temperature quench
    • doi:10.1103/PhysRevLett.82.2824
    • Antunes, N. D., Bettencourt, L. M. A. & Zurek, W. H. 1999 Vortex string formation in a 3D U(1) temperature quench. Phys. Rev. Lett. 82, 2824-2827. (doi:10.1103/PhysRevLett.82.2824)
    • (1999) Phys. Rev. Lett , vol.82 , pp. 2824-2827
    • Antunes, N.D.1    Bettencourt, L.M.A.2    Zurek, W.H.3
  • 3
    • 33744923683 scopus 로고    scopus 로고
    • Domain formation: Decided before or after the transition?
    • doi:10.1103/PhysRevD.73.125003
    • Antunes, N. D., Gandra, P. & Rivers, R. J. 2006 Domain formation: decided before or after the transition? Phys. Rev. D 73, 125-003. (doi:10.1103/PhysRevD.73.125003)
    • (2006) Phys. Rev. D , vol.73 , pp. 125-003
    • Antunes, N.D.1    Gandra, P.2    Rivers, R.J.3
  • 5
    • 0028353268 scopus 로고
    • The cosmological Kibble mechanism in the laboratory: String formation in liquid crystals
    • doi:10. 1126/science.263.5149. 943
    • Bowick, M. J., Chandar, L., Schiff, E. A. & Srivastava, A. M. 1994 The cosmological Kibble mechanism in the laboratory: string formation in liquid crystals. Science 263, 943-945. (doi:10. 1126/science.263.5149. 943)
    • (1994) Science , vol.263 , pp. 943-945
    • Bowick, M.J.1    Chandar, L.2    Schiff, E.A.3    Srivastava, A.M.4
  • 6
    • 35649010484 scopus 로고    scopus 로고
    • Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
    • doi:10.1103/PhysRevB.76. 144427
    • Caneva, T., Fazio, R. & Santoro, G. E. 2007 Adiabatic quantum dynamics of a random Ising chain across its quantum critical point. Phys. Rev. B 76, 144-427. (doi:10.1103/PhysRevB.76. 144427)
    • (2007) Phys. Rev. B , vol.76 , pp. 144-427
    • Caneva, T.1    Fazio, R.2    Santoro, G.E.3
  • 7
    • 0000405298 scopus 로고    scopus 로고
    • Observation of spontaneous flux generation in a multi-Josephson-junction loop
    • doi:10.1103/PhysRevLett.84.4966
    • Carmi, R., Polturak, E. & Koren, G. 2000 Observation of spontaneous flux generation in a multi-Josephson-junction loop. Phys. Rev. Lett. 84, 4966-4969. (doi:10.1103/PhysRevLett.84.4966)
    • (2000) Phys. Rev. Lett , vol.84 , pp. 4966-4969
    • Carmi, R.1    Polturak, E.2    Koren, G.3
  • 8
    • 0035333570 scopus 로고    scopus 로고
    • Topological defects after a quench in a Bénard Marangoni convection system
    • doi:10.1103/ PhysRevE.63.057301
    • Casado, S., González-Viñas, W., Mancini, H. & Boccaletti, S. 2001 Topological defects after a quench in a Bénard Marangoni convection system. Phys. Rev. E 63, 057-301. (doi:10.1103/ PhysRevE.63.057301)
    • (2001) Phys. Rev. E , vol.63 , pp. 057-301
    • Casado, S.1    González-Viñas, W.2    Mancini, H.3    Boccaletti, S.4
  • 9
    • 34447561873 scopus 로고    scopus 로고
    • The birth of defects in pattern formation: Testing of the Kibble-Zurek mechanism
    • doi:10.1140/epjst/e2007-00171-2
    • Casado, S., González-Viñas, W., Boccaletti, S., Ramazza, P. L. & Mancini, H. 2007 The birth of defects in pattern formation: testing of the Kibble-Zurek mechanism. Eur. Phys. J. 146, 87-98. (doi:10.1140/epjst/e2007-00171-2)
    • (2007) Eur. Phys. J , vol.146 , pp. 87-98
    • Casado, S.1    González-Viñas, W.2    Boccaletti, S.3    Ramazza, P.L.4    Mancini, H.5
  • 10
    • 33646343964 scopus 로고    scopus 로고
    • Entropy and correlation functions of a driven quantum spin chain
    • doi:10.1103/PhysRevA.73.043614
    • Cherng, R. W. & Levitov, L. S. 2006 Entropy and correlation functions of a driven quantum spin chain. Phys. Rev. A 73, 043-614. (doi:10.1103/PhysRevA.73.043614)
    • (2006) Phys. Rev. A , vol.73 , pp. 043-614
    • Cherng, R.W.1    Levitov, L.S.2
  • 11
    • 12044253947 scopus 로고
    • Cosmology in the laboratory: Defect dynamics in liquid crystals
    • doi:10.1126/science.251.4999.1336
    • Chuang, I., Durrer, R., Turok, N. & Yurke, B. 1991 Cosmology in the laboratory: defect dynamics in liquid crystals. Science 251, 1336-1342. (doi:10.1126/science.251.4999.1336)
    • (1991) Science , vol.251 , pp. 1336-1342
    • Chuang, I.1    Durrer, R.2    Turok, N.3    Yurke, B.4
  • 12
    • 34347354295 scopus 로고    scopus 로고
    • Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
    • doi:10.1103/PhysRevA.75.052321
    • Cincio, L., Dziarmaga, J., Rams, M. M. & Zurek, W. H. 2007 Entropy of entanglement and correlations induced by a quench: dynamics of a quantum phase transition in the quantum Ising model. Phys. Rev. A 75, 052-321. (doi:10.1103/PhysRevA.75.052321)
    • (2007) Phys. Rev. A , vol.75 , pp. 052-321
    • Cincio, L.1    Dziarmaga, J.2    Rams, M.M.3    Zurek, W.H.4
  • 13
    • 33846817473 scopus 로고    scopus 로고
    • Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid
    • doi:10.1103/ PhysRevA.75.023603
    • Cucchietti, F. M., Damski, B., Dziarmaga, J. & Zurek, W. H. 2007 Dynamics of the Bose-Hubbard model: transition from a Mott insulator to a superfluid. Phys. Rev. A 75, 023-603. (doi:10.1103/ PhysRevA.75.023603)
    • (2007) Phys. Rev. A , vol.75 , pp. 023-603
    • Cucchietti, F.M.1    Damski, B.2    Dziarmaga, J.3    Zurek, W.H.4
  • 14
    • 27144488642 scopus 로고    scopus 로고
    • The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau Zener transitions from a new perspective
    • doi:10.1103/ PhysRevLett.95.035701
    • 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, 035-701. (doi:10.1103/ PhysRevLett.95.035701)
    • (2005) Phys. Rev. Lett , vol.95 , pp. 035-701
    • Damski, B.1
  • 15
    • 33745018474 scopus 로고    scopus 로고
    • Adiabatic-impulse approximation for avoided level crossings: From phase-transition dynamics to Landau-Zener evolutions and back again
    • doi:10.1103/PhysRevA.73.063405
    • Damski, B. & Zurek, W. H. 2006 Adiabatic-impulse approximation for avoided level crossings: from phase-transition dynamics to Landau-Zener evolutions and back again. Phys. Rev. A 73, 063-405. (doi:10.1103/PhysRevA.73.063405)
    • (2006) Phys. Rev. A , vol.73 , pp. 063-405
    • Damski, B.1    Zurek, W.H.2
  • 16
    • 34748839552 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition in a ferromagnetic Bose Einstein condensate
    • doi:10.1103/PhysRevLett.99.130402
    • Damski, B. & Zurek, W. H. 2007 Dynamics of a quantum phase transition in a ferromagnetic Bose Einstein condensate. Phys. Rev. Lett. 99, 130-402. (doi:10.1103/PhysRevLett.99.130402)
    • (2007) Phys. Rev. Lett , vol.99 , pp. 130-402
    • Damski, B.1    Zurek, W.H.2
  • 17
    • 46649101331 scopus 로고    scopus 로고
    • How to fix a broken symmetry: Quantum dynamics of symmetry restoration in a ferromagnetic Bose Einstein condensate
    • doi:10. 1088/1367-2630/10/4/045023
    • Damski, B. & Zurek, W. H. 2008 How to fix a broken symmetry: quantum dynamics of symmetry restoration in a ferromagnetic Bose Einstein condensate. New J. Phys 10, 045-023. (doi:10. 1088/1367-2630/10/4/045023)
    • (2008) New J. Phys , vol.10 , pp. 045-023
    • Damski, B.1    Zurek, W.H.2
  • 19
    • 0141682675 scopus 로고    scopus 로고
    • Entangling strings of neutral atoms in 1D atomic pipeline structures
    • doi:10.1103/ PhysRevLett.91.073601
    • Dorner, U., Fedichev, P., Jaksch, D., Lewenstein, M. & Zoller, P. 2003 Entangling strings of neutral atoms in 1D atomic pipeline structures. Phys. Rev. Lett. 91, 073-601. (doi:10.1103/ PhysRevLett.91.073601)
    • (2003) Phys. Rev. Lett , vol.91 , pp. 073-601
    • Dorner, U.1    Fedichev, P.2    Jaksch, D.3    Lewenstein, M.4    Zoller, P.5
  • 20
    • 0000054909 scopus 로고    scopus 로고
    • Order parameter fragmentation after a symmetry breaking transition
    • doi:10. 1103/PhysRevLett.83.5210
    • Ducci, S., Ramazza, P. L., González-Viñas, W. & Arecchi, F. T. 1999 Order parameter fragmentation after a symmetry breaking transition. Phys. Rev. Lett. 83, 5210-5213. (doi:10. 1103/PhysRevLett.83.5210)
    • (1999) Phys. Rev. Lett , vol.83 , pp. 5210-5213
    • Ducci, S.1    Ramazza, P.L.2    González-Viñas, W.3    Arecchi, F.T.4
  • 21
    • 33244494406 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition: Exact solution of the quantum Ising model
    • doi:10.1103/PhysRevLett.95.245701
    • Dziarmaga, J. 2005 Dynamics of a quantum phase transition: exact solution of the quantum Ising model. Phys. Rev. Lett. 95, 245-701. (doi:10.1103/PhysRevLett.95.245701)
    • (2005) Phys. Rev. Lett , vol.95 , pp. 245-701
    • Dziarmaga, J.1
  • 22
    • 34347358008 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition in the random Ising model: Logarithmic dependence of the defect density on the transition rate
    • doi:10.1103/PhysRevB.74.064416
    • Dziarmaga, J. 2006 Dynamics of a quantum phase transition in the random Ising model: logarithmic dependence of the defect density on the transition rate. Phys. Rev. B 74, 064-416. (doi:10.1103/PhysRevB.74.064416)
    • (2006) Phys. Rev. B , vol.74 , pp. 064-416
    • Dziarmaga, J.1
  • 23
    • 0001228165 scopus 로고    scopus 로고
    • Symmetry breaking with a slant: Topological defects after an inhomogeneous quench
    • doi:10.1103/ PhysRevLett.82.4749
    • Dziarmaga, J., Laguna, P. & Zurek, W. H. 1999 Symmetry breaking with a slant: topological defects after an inhomogeneous quench. Phys. Rev. Lett. 82, 4749-4752. (doi:10.1103/ PhysRevLett.82.4749)
    • (1999) Phys. Rev. Lett , vol.82 , pp. 4749-4752
    • Dziarmaga, J.1    Laguna, P.2    Zurek, W.H.3
  • 24
    • 0000863814 scopus 로고    scopus 로고
    • Dynamics of quantum phase transition in an array of Josephson junctions
    • doi:10.1103/ PhysRevLett.88.167001
    • Dziarmaga, J., Smerzi, A., Zurek, W. H. & Bishop, A. R. 2002 Dynamics of quantum phase transition in an array of Josephson junctions. Phys. Rev. Lett. 88, 167-001. (doi:10.1103/ PhysRevLett.88.167001)
    • (2002) Phys. Rev. Lett , vol.88 , pp. 167-001
    • Dziarmaga, J.1    Smerzi, A.2    Zurek, W.H.3    Bishop, A.R.4
  • 25
    • 85020829798 scopus 로고    scopus 로고
    • Non-equilibrium Mott transition in a lattice of Bose-Einstein condensates
    • eds H. Arodz et al, pp, Dordrecht, The Netherlands: Kluwer Academic
    • Dziarmaga, J., Smerzi, A., Zurek, W. H. & Bishop, A. R. 2003 Non-equilibrium Mott transition in a lattice of Bose-Einstein condensates. In Patterns of symmetry breaking (eds H. Arodz et al.), pp. 313-333. Dordrecht, The Netherlands: Kluwer Academic. (http://arxiv.org/abs/condmat/ 0403607)
    • (2003) Patterns of symmetry breaking , pp. 313-333
    • Dziarmaga, J.1    Smerzi, A.2    Zurek, W.H.3    Bishop, A.R.4
  • 26
    • 34249330649 scopus 로고    scopus 로고
    • Robustness of adiabatic passage through a quantum phase transition
    • doi:10.1088/1367-2630/9/5/134
    • Fubini, A., Falci, G. & Osterloh, A. 2007 Robustness of adiabatic passage through a quantum phase transition. New J. Phys. 9, 134. (doi:10.1088/1367-2630/9/5/134)
    • (2007) New J. Phys , vol.9 , pp. 134
    • Fubini, A.1    Falci, G.2    Osterloh, A.3
  • 28
    • 0034317501 scopus 로고    scopus 로고
    • Defect formation and local gauge invariance
    • doi:10.1103/ PhysRevLett.85.4660
    • Hindmarsh, M. B. & Rajantie, A. 2000 Defect formation and local gauge invariance. Phys. Rev. Lett. 85, 4660-4663. (doi:10.1103/ PhysRevLett.85.4660)
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4660-4663
    • Hindmarsh, M.B.1    Rajantie, A.2
  • 29
    • 30244472883 scopus 로고
    • Topology of cosmic domains and strings
    • doi:10. 1088/0305-4470/9/8/029
    • Kibble, T. W. B. 1976 Topology of cosmic domains and strings. J. Phys. A 9, 1387-1398. (doi:10. 1088/0305-4470/9/8/029)
    • (1976) J. Phys. A , vol.9 , pp. 1387-1398
    • Kibble, T.W.B.1
  • 30
    • 0009529936 scopus 로고
    • Some implications of a cosmological phase transition
    • doi:10.1016/0370-1573(80) 90091-5
    • Kibble, T. W. B. 1980 Some implications of a cosmological phase transition. Phys. Rep. 67, 183-199. (doi:10.1016/0370-1573(80) 90091-5)
    • (1980) Phys. Rep , vol.67 , pp. 183-199
    • Kibble, T.W.B.1
  • 31
    • 85020840510 scopus 로고    scopus 로고
    • Kibble, T.W.B.2003 Symmetry breaking and defects.In Patterns ofsymmetry breaking (edsH. Arodz, J. Dziarmaga & W. H. Zurek), pp. 3-36. Dordrecht, The Netherlands: Kluwer Academic.
    • Kibble, T.W.B.2003 Symmetry breaking and defects.In Patterns ofsymmetry breaking (edsH. Arodz, J. Dziarmaga & W. H. Zurek), pp. 3-36. Dordrecht, The Netherlands: Kluwer Academic.
  • 32
    • 36949022562 scopus 로고    scopus 로고
    • Phase transition dynamics in the lab and the universe
    • doi:10.1063/1.2784684
    • Kibble, T. W. B. 2007 Phase transition dynamics in the lab and the universe. Phys. Today 60, 47-53. (doi:10.1063/1.2784684)
    • (2007) Phys. Today , vol.60 , pp. 47-53
    • Kibble, T.W.B.1
  • 33
    • 0006167281 scopus 로고    scopus 로고
    • On phase ordering behind the propagating front of a second-order transition
    • doi:10.1134/1.567332
    • Kibble, T. W. B. & Volovik, G. E. 1997 On phase ordering behind the propagating front of a second-order transition. JETP Lett. 65, 102-107. (doi:10.1134/1.567332)
    • (1997) JETP Lett , vol.65 , pp. 102-107
    • Kibble, T.W.B.1    Volovik, G.E.2
  • 34
    • 0001127864 scopus 로고    scopus 로고
    • Density of kinks after a quench: When symmetry breaks, how big are the pieces?
    • doi:10.1103/PhysRevLett.78.2519
    • Laguna, P. & Zurek, W. H. 1997 Density of kinks after a quench: when symmetry breaks, how big are the pieces? Phys. Rev. Lett. 78, 2519-2522. (doi:10.1103/PhysRevLett.78.2519)
    • (1997) Phys. Rev. Lett , vol.78 , pp. 2519-2522
    • Laguna, P.1    Zurek, W.H.2
  • 35
    • 0542442146 scopus 로고    scopus 로고
    • Critical dynamics of symmetry breaking: Quenches, dissipation, and cosmology
    • doi:10.1103/PhysRevD.58.085021
    • Laguna, P. & Zurek, W. H. 1998 Critical dynamics of symmetry breaking: quenches, dissipation, and cosmology. Phys. Rev. D 58, 085-021. (doi:10.1103/PhysRevD.58.085021)
    • (1998) Phys. Rev. D , vol.58 , pp. 085-021
    • Laguna, P.1    Zurek, W.H.2
  • 37
    • 34247179564 scopus 로고    scopus 로고
    • Quantum quenches in a spinor condensate
    • doi:10.1103/PhysRevLett.98.160404
    • Lamacraft, A. 2007 Quantum quenches in a spinor condensate. Phys. Rev. Lett. 98, 160-404. (doi:10.1103/PhysRevLett.98.160404)
    • (2007) Phys. Rev. Lett , vol.98 , pp. 160-404
    • Lamacraft, A.1
  • 39
    • 0346885950 scopus 로고    scopus 로고
    • Observation of magnetic flux generated spontaneously during a rapid quench of superconducting films
    • doi:10.1103/ PhysRevLett.91.197001
    • Maniv, A., Polturak, E. & Koren, G. 2003 Observation of magnetic flux generated spontaneously during a rapid quench of superconducting films. Phys. Rev. Lett. 91, 197-001. (doi:10.1103/ PhysRevLett.91.197001)
    • (2003) Phys. Rev. Lett , vol.91 , pp. 197-001
    • Maniv, A.1    Polturak, E.2    Koren, G.3
  • 40
    • 0037135771 scopus 로고    scopus 로고
    • Zurek Kibble domain structures: The dynamics of spontaneous vortex formation in annular Josephson tunnel junctions
    • doi:10.1103/PhysRevLett.89.080603
    • Monaco, R., Mygind, J. & Rivers, R. J. 2002 Zurek Kibble domain structures: the dynamics of spontaneous vortex formation in annular Josephson tunnel junctions. Phys. Rev. Lett. 89, 080-603. (doi:10.1103/PhysRevLett.89.080603)
    • (2002) Phys. Rev. Lett , vol.89 , pp. 080-603
    • Monaco, R.1    Mygind, J.2    Rivers, R.J.3
  • 41
    • 0038078488 scopus 로고    scopus 로고
    • Spontaneous fluxon formation in annular Josephson tunnel junctions
    • doi:10.1103/PhysRevB.67.104506
    • Monaco, R., Mygind, J. & Rivers, R. J. 2003 Spontaneous fluxon formation in annular Josephson tunnel junctions. Phys. Rev. B 67, 104-506. (doi:10.1103/PhysRevB.67.104506)
    • (2003) Phys. Rev. B , vol.67 , pp. 104-506
    • Monaco, R.1    Mygind, J.2    Rivers, R.J.3
  • 42
    • 33646536356 scopus 로고    scopus 로고
    • Focus story: Experiments on spontaneous vortex formation in Josephson tunnel junctions
    • doi:10.1103/PhysRevLett.96.180604
    • Monaco, R., Mygind, J., Aaroe, M., Rivers, R. J. & Koshelets, V. P. 2006 Focus story: experiments on spontaneous vortex formation in Josephson tunnel junctions. Phys. Rev. Lett. 96, 180-604. (doi:10.1103/PhysRevLett.96.180604)
    • (2006) Phys. Rev. Lett , vol.96 , pp. 180-604
    • Monaco, R.1    Mygind, J.2    Aaroe, M.3    Rivers, R.J.4    Koshelets, V.P.5
  • 43
    • 40749143606 scopus 로고    scopus 로고
    • Static properties of small Josephson tunnel junctions in a transverse magnetic field
    • doi:10.1103/PhysRevB.77.054509
    • Monaco, R. et al. 2008 Static properties of small Josephson tunnel junctions in a transverse magnetic field. Phys. Rev. B 77, 054-509. (doi:10.1103/PhysRevB.77.054509)
    • (2008) Phys. Rev. B , vol.77 , pp. 054-509
    • Monaco, R.1
  • 44
    • 34548776421 scopus 로고    scopus 로고
    • Decoherence in a dynamical quantum phase transition of the transverse Ising chain
    • doi:10.1103/PhysRevA.76. 030304
    • Mostame, S., Schaller, G. & Schützhold, R. 2007 Decoherence in a dynamical quantum phase transition of the transverse Ising chain. Phys. Rev. A 76, 030-304. (doi:10.1103/PhysRevA.76. 030304)
    • (2007) Phys. Rev. A , vol.76 , pp. 030-304
    • Mostame, S.1    Schaller, G.2    Schützhold, R.3
  • 45
    • 29644438531 scopus 로고    scopus 로고
    • Polkovnikov, A. 2005 Universal adiabatic dynamics in the vicinity of a quantum critical point. Phys. Rev. B 72, R161201. (doi:10.1103/PhysRevB.72.161201)
    • Polkovnikov, A. 2005 Universal adiabatic dynamics in the vicinity of a quantum critical point. Phys. Rev. B 72, R161201. (doi:10.1103/PhysRevB.72.161201)
  • 47
  • 48
    • 33748939585 scopus 로고    scopus 로고
    • Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose-Einstein condensate
    • doi:10.1038/nature05094
    • Sadler, L. E., Higbie, J. M., Leslie, S. R., Vengalattore, M. & Stamper-Kurn, D. M. 2006 Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose-Einstein condensate. Nature 443, 312-315. (doi:10.1038/nature05094)
    • (2006) Nature , vol.443 , pp. 312-315
    • Sadler, L.E.1    Higbie, J.M.2    Leslie, S.R.3    Vengalattore, M.4    Stamper-Kurn, D.M.5
  • 49
    • 35248816543 scopus 로고    scopus 로고
    • Kibble Zurek mechanism in a quenched ferromagnetic Bose Einstein condensate
    • doi:10.1103/PhysRevA.76.043613
    • Saito, H., Kawaguchi, Y. & Ueda, M. 2007 Kibble Zurek mechanism in a quenched ferromagnetic Bose Einstein condensate. Phys. Rev. A 76, 043-613. (doi:10.1103/PhysRevA.76.043613)
    • (2007) Phys. Rev. A , vol.76 , pp. 043-613
    • Saito, H.1    Kawaguchi, Y.2    Ueda, M.3
  • 50
    • 33947251725 scopus 로고    scopus 로고
    • Vortex formation by merging of multiple trapped Bose-Einstein condensates
    • doi:10.1103/ PhysRevLett.98.110402
    • Scherer, D. R., Weiler, C. N., Neely, T. W. & Anderson, B. P. 2007 Vortex formation by merging of multiple trapped Bose-Einstein condensates. Phys. Rev. Lett. 98, 110-402. (doi:10.1103/ PhysRevLett.98.110402)
    • (2007) Phys. Rev. Lett , vol.98 , pp. 110-402
    • Scherer, D.R.1    Weiler, C.N.2    Neely, T.W.3    Anderson, B.P.4
  • 51
    • 16644401105 scopus 로고    scopus 로고
    • Defect formation and critical dynamics in the early Universe
    • doi:10.1103/PhysRevD.59.045009
    • Stephens, G. J., Calzetta, E. A., Hu, B. L. & Ramsey, S. A. 1999 Defect formation and critical dynamics in the early Universe. Phys. Rev. D 59, 045-009. (doi:10.1103/PhysRevD.59.045009)
    • (1999) Phys. Rev. D , vol.59 , pp. 045-009
    • Stephens, G.J.1    Calzetta, E.A.2    Hu, B.L.3    Ramsey, S.A.4
  • 52
    • 0036536059 scopus 로고    scopus 로고
    • Critical dynamics of gauge systems: Spontaneous vortex formation in 2D superconductors
    • doi:10. 1103/PhysRevLett.88.137004
    • Stephens, G. J., Bettencourt, L. M. A. & Zurek, W. H. 2002 Critical dynamics of gauge systems: spontaneous vortex formation in 2D superconductors. Phys. Rev. Lett. 88, 137-004. (doi:10. 1103/PhysRevLett.88.137004)
    • (2002) Phys. Rev. Lett , vol.88 , pp. 137-004
    • Stephens, G.J.1    Bettencourt, L.M.A.2    Zurek, W.H.3
  • 53
    • 4243636936 scopus 로고    scopus 로고
    • Vortex formation in two dimensions: When symmetry breaks, how big are the pieces?
    • doi:10.1103/PhysRevLett.80.5477
    • Yates, A. & Zurek, W. H. 1998 Vortex formation in two dimensions: when symmetry breaks, how big are the pieces? Phys. Rev. Lett 80, 5477-5480. (doi:10.1103/PhysRevLett.80.5477)
    • (1998) Phys. Rev. Lett , vol.80 , pp. 5477-5480
    • Yates, A.1    Zurek, W.H.2
  • 54
    • 0001332554 scopus 로고
    • Non-adiabatic crossing of energy levels
    • doi:10.1098/ rspa.1932.0165
    • Zener, C. 1932 Non-adiabatic crossing of energy levels. Proc. R. Soc. A 137, 696-702. (doi:10.1098/ rspa.1932.0165)
    • (1932) Proc. R. Soc. A , vol.137 , pp. 696-702
    • Zener, C.1
  • 55
    • 18244380121 scopus 로고
    • Cosmological experiments in superfluid helium?
    • doi:10. 1038/317505a0
    • Zurek, W. H. 1985 Cosmological experiments in superfluid helium? Nature 317, 505-508. (doi:10. 1038/317505a0)
    • (1985) Nature , vol.317 , pp. 505-508
    • Zurek, W.H.1
  • 56
    • 0001378530 scopus 로고
    • Cosmic strings in laboratory superfluids
    • Zurek, W. H. 1993 Cosmic strings in laboratory superfluids. Acta Phys. Pol. B 24, 1301-1311.
    • (1993) Acta Phys. Pol. B , vol.24 , pp. 1301-1311
    • Zurek, W.H.1
  • 57
    • 0030295474 scopus 로고    scopus 로고
    • Cosmological experiments in condensed matter systems
    • doi:10.1016/S0370-1573(96)00009-9
    • Zurek, W. H. 1996 Cosmological experiments in condensed matter systems. Phys. Rep. 276, 177-221. (doi:10.1016/S0370-1573(96)00009-9)
    • (1996) Phys. Rep , vol.276 , pp. 177-221
    • Zurek, W.H.1
  • 58
    • 27144451985 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition
    • doi:10.1103/PhysRevLett.95.105701
    • Zurek, W. H., Dorner, U. & Zoller, P. 2005 Dynamics of a quantum phase transition. Phys. Rev. Lett. 95, 105-701. (doi:10.1103/PhysRevLett.95.105701)
    • (2005) Phys. Rev. Lett , vol.95 , pp. 105-701
    • Zurek, W.H.1    Dorner, U.2    Zoller, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.