Ginzburg regime and its effects on topological defect formation

Bettencourt, Luís M. A.; Antunes, Nuno D.; Zurek, Wojciech H.

doi:10.1103/physrevd.62.065005

Cited by 42 publications

(34 citation statements)

References 26 publications

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“…Many numerical simulations have been done within the framework of the Ginzburg-Landau model, [9][10][11][12][13] basically confirming the conclusions of the theory. In Ref.…”

supporting

confidence: 58%

Defect formation in long Josephson junctions

Gordeeva

Pankratov

2010

Phys. Rev. B

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“…Many numerical simulations have been done within the framework of the Ginzburg-Landau model, [9][10][11][12][13] basically confirming the conclusions of the theory. In Ref.…”

supporting

confidence: 58%

Defect formation in long Josephson junctions

Gordeeva

Pankratov

2010

Phys. Rev. B

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“…However, it gives enough reliable information on the critical-regime behavior. 1 We notice that in such an approximation 0 2 ϭϪm 2 . Let us now consider the expansion of the v field into partial waves…”

Section: The Ginzburg Regimementioning

confidence: 92%

“…Between T C and T G the system is said to be in the critical regime. 1 Our purpose is to model the time dependence of m 2 (␤) during the critical-regime evolution, i.e., for transitions lasting a finite time interval where the formation of domains is allowed.…”

Section: The Ginzburg Regimementioning

confidence: 99%

“…Long string formation in such a region has been hypothesized and its consequences have been investigated. 1 Beyond the detailed phenomenological picture and the numerical simulations, the dynamic formation of nonhomogeneous structures in the critical region seems to require further study. Our aim in this paper is to describe indeed a possible mechanism for the formation of domains in the process of noninstantaneous phase transitions characterized by time-dependent order parameter.…”

Section: Introductionmentioning

confidence: 99%

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Domain formation in noninstantaneous symmetry-breaking phase transitions

Alfinito

Vitiello

2002

Phys. Rev. B

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In the framework of the Ginzburg-Landau harmonic-potential approximation, we present a possible modeling of the time dependence of the frequency of the order-parameter mode suitable to account for the formation of correlated domains in noninstantaneous symmetry-breaking phase transitions. An interesting spectrum of possibilities for the size and the lifetime of these domains emerges, which appears to be consistent with the conclusions of other, differently grounded analyses.

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“…Historically the KZ mechanism has been at the centre of a debate about the timing of the birth of defects [61,62]. On one hand, it has been suggested that the appearance of defects can be traced to the fluctuations that freeze out at a timet before the transition occurs, i.e.…”

Section: When Is the Defect Density Determined?mentioning

confidence: 99%

Bose-Einstein Condensate

Rudra¹,

Rudra²

2009

Basic Statistical Physics

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Abstract.Continuous phase transitions occur in a wide range of physical systems, and provide a context for the study of non-equilibrium dynamics and the formation of topological defects. The Kibble-Zurek (KZ) mechanism predicts the scaling of the resulting density of defects as a function of the quench rate through a critical point, and this can provide an estimate of the critical exponents of a phase transition. In this work we extend our previous study of the miscible-immiscible phase transition of a binary Bose-Einstein condensate (BEC) composed of two hyperfine states in which the spin dynamics are confined to one dimension [J. Sabbatini et al., Phys. Rev. Lett. 107, 230402 (2011)]. The transition is engineered by controlling a Hamiltonian quench of the coupling amplitude of the two hyperfine states, and results in the formation of a random pattern of spatial domains. Using the numerical truncated Wigner phase space method, we show that in a ring BEC the number of domains formed in the phase transitions scales as predicted by the KZ theory. We also consider the same experiment performed with a harmonically trapped BEC, and investigate how the density inhomogeneity modifies the dynamics of the phase transition and the KZ scaling law for the number of domains. We then make use of the symmetry between inhomogeneous phase transitions in anisotropic systems, and an inhomogeneous quench in a homogeneous system, to engineer coupling quenches that allow us to quantify several aspects of inhomogeneous phase transitions. In particular, we quantify the effect of causality in the propagation of the phase transition front on the resulting formation of domain walls, and find indications that the density of defects is determined during the impulse to adiabatic transition after the crossing of the critical point.

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Ginzburg regime and its effects on topological defect formation

Cited by 42 publications

References 26 publications

Defect formation in long Josephson junctions

Defect formation in long Josephson junctions

Domain formation in noninstantaneous symmetry-breaking phase transitions

Bose-Einstein Condensate

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