Kibble-Zurek Scaling in a Holographic p-wave Superconductor
arXiv:1906.00681 · doi:10.1103/PhysRevD.101.026003
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.
arXiv comment25 pages, 2 figures
References in corpus (45)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- Unpaired Majorana fermions in quantum wires
- The Black Hole in Three Dimensional Space Time
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Building an AdS/CFT superconductor
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Lectures on holographic methods for condensed matter physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Adding flavor to AdS/CFT
- Spontaneous vortices in the formation of Bose-Einstein condensates
- The gravity dual of a p-wave superconductor
- Holographic model of superfluidity
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- The Kibble-Zurek Problem: Universality and the Scaling Limit
- Vortex Formation by Interference of Multiple Trapped Bose-Einstein Condensates
- Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
- An Analytic Holographic Superconductor
- On Holographic p-wave Superfluids with Back-reaction
- Universality class of holographic superconductors
- Intersecting D3-branes and Holography
- Defect formation beyond Kibble-Zurek mechanism and holography
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Quantum Quench across a Holographic Critical Point
- Universal off-equilibrium scaling of critical cumulants in the QCD phase diagram
- Chiral anomalies and AdS/CMT in two dimensions
- Quantum Quench Across a Zero Temperature Holographic Superfluid Transition
- Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
- Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
- Transits of the QCD Critical Point
- One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
- Backreacting p-wave Superconductors
- Quantum Quench and Scaling of Entanglement Entropy
- Quantum Quench and Double Trace Couplings
- Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction
- BPS-like bound and thermodynamics of the charged BTZ black hole
- Universal scaling of the sigma field and net-protons from Langevin dynamics of model A
- Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
- 1+1-dimensional p-wave superconductors from intersecting D-branes
- Kibble-Zurek scaling in holography
- One dimensional s-wave holographic superconductor with supercurrent
- Universal Critical Exponents of Non-Equilibrium Phase Transitions from Holography
- Holographic entanglement entropy of a dimensional -wave superconductor
- Holographic subregion complexity of a 1+1 dimensional -wave superconductor
- Universal scaling of conserved charge in the stochastic diffusion dynamics