Gao, X (reprint author), Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, Fohringer Ring 6, D-80805 Munich, Germany.
[Gao, Xin] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, D-80805 Munich, Germany
; [Gao, Xin] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
; [Garcia-Garcia, Antonio M.] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
; [Garcia-Garcia, Antonio M.
; Zeng, Hua Bi
; Zhang, Hai-Qing] Univ Lisbon, CFIF, Inst Super Tecn, P-1049001 Lisbon, Portugal
; [Zeng, Hua Bi] Bohai Univ, Sch Math & Phys, Jinzhou 121000, Peoples R China
We employ holographic techniques to investigate the dynamics of the order parameter of a strongly coupled superconductor after a perturbation that drives the system out of equilibrium. The gravity dual that we employ is the AdS(5) Soliton background at zero temperature. We first analyze the normal modes associated to the superconducting order parameter which are purely real since the background has no horizon. We then study the full time evolution of the order parameter after a quench. For sufficiently a weak and slow perturbation we show that the order parameter undergoes simple undamped oscillations in time with a frequency that agrees with the lowest normal model computed previously. This is expected as the soliton background has no horizon and therefore, at least in the probe and large N limits considered, the system will never return to equilibrium. For stronger and more abrupt perturbations higher normal modes are excited and the pattern of oscillations becomes increasingly intricate. We identify a range of parameters for which the time evolution of the order parameter become quasi chaotic. The details of the chaotic evolution depend on the type of perturbation used. Therefore it is plausible to expect that it is possible to engineer a perturbation that leads to the almost complete destruction of the oscillating pattern and consequently to quasi equilibration induced by superposition of modes with different frequencies.