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Universal far-from-equilibrium Dynamics of a Holographic Superconductor

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arxiv 1406.2329 v2 pith:6BOS6B4M submitted 2014-06-09 hep-th cond-mat.str-el

Universal far-from-equilibrium Dynamics of a Holographic Superconductor

Julian Sonner , Adolfo del Campo , Wojciech H. Zurek This is my paper
classification hep-th cond-mat.str-el
keywords coupledtimeholographicquenchstronglydualitykibble-zurekmechanism
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Symmetry breaking phase transitions are an example of non-equilibrium processes that require real time treatment, a major challenge in strongly coupled systems without long-lived quasiparticles. Holographic duality provides such an approach by mapping strongly coupled field theories in D dimensions into weakly coupled quantum gravity in D+1 anti-de Sitter spacetime. Here, we use holographic duality to study formation of topological defects -- winding numbers -- in the course of a superconducting transition in a strongly coupled theory in a 1D ring. When the system undergoes the transition on a given quench time, the condensate builds up with a delay that can be deduced using the Kibble-Zurek mechanism from the quench time and the universality class of the theory, as determined from the quasinormal mode spectrum of the dual model. Typical winding numbers deposited in the ring exhibit a universal fractional power law dependence on the quench time, also predicted by the Kibble-Zurek Mechanism.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Phase separation seeded by Z2 and U(1) topological defects from holography

    hep-th 2026-05 unverdicted novelty 6.0

    Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.

  2. Quantum Mpemba effect in holography

    hep-th 2026-07 conditional novelty 5.0

    In a holographic superfluid, quenching from stronger symmetry breaking relaxes faster to equilibrium, with the slowest decay mode suppressed and the second mode amplified.

  3. Kibble-Zurek Mechanism and Current-Phase Relation in a Holographic Josephson Junction

    hep-th 2026-07 conditional novelty 5.0

    In a holographic superfluid ring quenched through its transition, the weak-link current follows J = Jmax sin(Δφ), with Jmax exponentially sensitive to junction width, depth, and final temperature.

  4. Field Theory Models for a Holographic Superconductor in Two Dimensions

    hep-th 2026-05 unverdicted novelty 5.0

    Field theory models with Robin boundary conditions and modular invariance reproduce zero-winding holographic superconductor results in 2D CFTs and interpret fractional vortices via a Little-Parks toy model.