Abstract
We study the Kibble-Zurek mechanism in a 2d holographic p-wave superconductor model with a homogeneous source quench on the critical point. We derive, on general grounds, the scaling of the Kibble-Zurek time, which marks breaking-down of adiabaticity. It is expressed in terms of four critical exponents, including three static and one dynamical exponents. Via explicit calculations within a holographic model, we confirm the scaling of the Kibble-Zurek time and obtain the scaling functions in the quench process. We find the results are formally similar to a homogeneous quench in a higher dimensional holographic s-wave superconductor. The similarity is due to the special type of quench we take. We expect differences in the quench dynamics if the condition of homogeneous source and dominance of critical mode are relaxed.
Highlights
Nonequilibrium dynamics occurs ubiquitously in different physical systems
In Appendix A, we present a review of the critical exponents, which include six static and one dynamical exponents
We have calculated all critical exponents for the ð1 þ 1Þ-d holographic p-wave superconductor
Summary
Nonequilibrium dynamics occurs ubiquitously in different physical systems. While the microscopic theories governing the dynamics can be radically different, the dynamics close enough to a critical point (second order phase transition) shows remarkable universal scaling behavior. Relaxation time of the system diverges so the system evolves nonadiabatically It has been established by Kibble and Zurek that the system shows certain scaling behavior, which we will refer to as KZ-scaling. Two Appendixes A and B present an overview of the critical exponents and derivation of the KZ-scaling in the ingoing EddingtonFinkelstein coordinates, respectively
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