Universal farfromequilibrium dynamics of a holographic superconductor
Abstract
Symmetrybreaking phase transitions are an example of nonequilibrium processes that require realtime treatment, a major challenge in strongly coupled systems without longlived quasiparticles. Holographic duality provides such an approach by mapping strongly coupled field theories in D dimensions into weakly coupled quantum gravity in D+1 antide Sitter spacetime. Here we use holographic duality to study the formation of topological defectswinding numbersin 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 KibbleZurek 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 KibbleZurek Mechanism.
 Publication:

Nature Communications
 Pub Date:
 June 2015
 DOI:
 10.1038/ncomms8406
 arXiv:
 arXiv:1406.2329
 Bibcode:
 2015NatCo...6.7406S
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 33 pages