Holographic pump probe spectroscopy

Bagrev A., Ben Craps, Federico Galli, V. Keränen, Esko Keski-Vakkuri, J. Zaanen

Research output: Contribution to journalArticle

3 Citations (Scopus)


We study the non-linear response of a 2+1 dimensional holographic model with weak momentum relaxation and finite charge density to an oscillatory electric field pump pulse. Following the time evolution of one point functions after the pumping has ended, we find that deviations from thermality are well captured within the linear response theory. For electric pulses with a negligible zero frequency component the response approaches the instantaneously thermalizing form typical of holographic Vaidya models. We link this to the suppression of the amplitude of the quasinormal mode that governs the approach to equilibrium. In the large frequency limit, we are also able to show analytically that the holographic geometry takes the Vaidya form. A simple toy model captures these features of our holographic setup. Computing the out-of-equilibrium probe optical conductivity after the pump pulse, we similarly find that for high-frequency pulses the optical conductivity reaches its final equilibrium value effectively instantaneously. Pulses with significant DC components show exponential relaxation governed by twice the frequency of the vector quasinormal mode that governs the approach to equilibrium for the background solution. We explain this numerical factor in terms of a simple symmetry argument.
Original languageEnglish
Article number65
Number of pages39
JournalThe Journal of high energy physics
Issue number7
Publication statusPublished - 1 Jul 2018


  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)

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