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arXiv · 1411.1744

Weak Field Collapse in AdS: Introducing a Charge Density

Elena Caceres·Arnab Kundu·Juan F. Pedraza·Di-Lun Yang
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Abstract

We study the effect of a non-vanishing chemical potential on the thermalization time of a strongly coupled large $N_c$ gauge theory in $(2+1)$-dimensions, using a specific bottom-up gravity model in asymptotically AdS space. We first construct a perturbative solution to the gravity-equations, which dynamically interpolates between two AdS black hole backgrounds with different temperatures and chemical potentials, in a perturbative expansion of a bulk neutral scalar field. In the dual field theory, this corresponds to a quench dynamics by a marginal operator, where the corresponding coupling serves as the small parameter in which the perturbation is carried out. The evolution of non-local observables, such as the entanglement entropy, suggests that thermalization time decreases with increasing chemical potential. We also comment on the validity of our perturbative analysis.

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Elena Caceres, Arnab Kundu, Juan F. Pedraza, Di-Lun Yang. 2014-11-06. Weak Field Collapse in AdS: Introducing a Charge Density. https://doi.org/10.1007/jhep06(2015)111

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