Topological defects formation with momentum dissipation

Li, Zhihong; Zeng, Hua-Bi; Zhang, Hai-Qing

doi:10.1007/jhep04(2021)295

Cited by 8 publications

(3 citation statements)

References 64 publications

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“…This plateau arises for different values of the end coupling constants C f . This saturation of the defect number at fast quenches is consistent with observations in experiments [30][31][32] and theoretical studies [29,35,39,[56][57][58][59][60]. In what follows, we not only elucidate the mechanism of the existence of the plateau region in the rapidly quenched region, but also deduce its value (the average number of defects), and characterize the crossover between the plateau and the KZM powerlaw [48].…”

Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 88%

Structural phase transition and its critical dynamics from holography

Xia¹,

Zeng²,

Chen³

et al. 2023

Preprint

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We introduce a gravitational lattice theory defined in an AdS3 black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity symmetry observed in, e.g., confined Coulomb crystals. The transition from the high-symmetry linear phase to the broken-symmetry doubly-degenerate zigzag phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents. We explore the nonequilibrium phase transition dynamics leading to kink formation. The kink density obeys universal scaling laws in the limit of slow quenches, described by the Kibble-Zurek mechanism (KZM), and at fast quenches, characterized by a universal breakdown of the KZM.

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Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 88%

Structural phase transition and its critical dynamics from holography

Xia¹,

Zeng²,

Chen³

et al. 2023

Preprint

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“…Numerically, we find a linear dependence between the vortex number and the amplitude of the magnetic field at the 'trapping' time, verifying the FTM very well. Previous work on holographic topological defects can be found in [21][22][23][24][25][26].…”

Section: B Locations Of the Magnetic Fields And The Order Parameter Vortices In The Far-from-equilibrium State 10mentioning

confidence: 99%

Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices

Xia

Zeng

et al. 2021

J. High Energ. Phys.

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Gauge invariance plays an important role in forming topological defects. In this work, from the AdS/CFT correspondence, we realize the clusters of equal-sign vortices during the course of critical dynamics of a strongly coupled superconductor. This is the first time to achieve the equal-sign vortex clusters in strongly coupled systems. The appearance of clusters of equal-sign vortices is a typical character of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely presents vortex-antivortex pair distributions resulting from global symmetry breaking. Numerical results of spatial correlations and net fluxes of the equal-sign vortex clusters quantitatively support the positive correlations between vortices. The linear dependence between the vortex number and the amplitude of magnetic field at the ‘trapping’ time demonstrates the flux trapping mechanism very well.

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“…The latter can be described using holographic duality, which makes use of a gravitational theory with one additional spacelike dimension [49]. Holographic quantum matter provides a natural setting to explore the role of strong coupling in topological defect formation and has been used to establish the validity of the KZM in this regime, up to subleading corrections in the quench time [34, [50][51][52][53][54][55].…”

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confidence: 99%

Locality of spontaneous symmetry breaking and universal spacing distribution of topological defects formed across a phase transition

2022

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The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of pointlike topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimensions with KZM density. Numerical simulations in a one-dimensional φ 4 theory unveil short-distance defect-defect corrections stemming from the kink excluded volume, while in two spatial dimensions, our model accurately describes the vortex spacing distribution in a strongly coupled superconductor indicating the suppression of defect-defect spatial correlations.

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Topological defects formation with momentum dissipation

Cited by 8 publications

References 64 publications

Structural phase transition and its critical dynamics from holography

Structural phase transition and its critical dynamics from holography

Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices

Locality of spontaneous symmetry breaking and universal spacing distribution of topological defects formed across a phase transition

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