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2014

Weak Field Collapse in AdS: Introducing a Charge Density

Caceres, Elena, Kundu, Arnab, Pedraza, Juan F. et al.

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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.