SMuK 2023 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: AdS/CFT Correspondence and Hydrodynamic Transport

MP 9.3: Talk

Thursday, March 23, 2023, 11:50–12:10, ZEU/0250

Critical and near-critical relaxation of holographic superfluids — •Mario Flory¹, Sebastian Grieninger², and Sergio Morales-Tejera³ — ¹Institute of Theoretical Physics, Jagiellonian University, Lojasiewicza 11, 30-348 Krakow, Poland — ²Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, NY 11794-3800, USA — ³Instituto de Fisica Teorica UAM-CSIC, c/ Nicolas Cabrera 13-15, 28049, Madrid, Spain

We investigate the relaxation of holographic superfluids after quenches, when the end state is either tuned to be exactly at the critical point, or very close to it. By solving the bulk equations of motion numerically, we demonstrate that in the former case the system exhibits a power law falloff as well as an emergent discrete scale invariance. The later case is in the regime dominated by critical slowing down, and we show that there is an intermediate time-range before the onset of late time exponential falloff, where the system behaves similarly to the critical point with its power law falloff. We further postulate a phenomenological Gross-Pitaevskii-like equation that is able to make quantitative predictions for the behaviour of the holographic superfluid after near-critical quenches.