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arXiv · 1612.07701

Adiabatic pumping solutions in global AdS

Pablo Carracedo·Javier Mas·Daniele Musso·Alexandre Serantes
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Abstract

We construct a family of very simple stationary solutions to gravity coupled to a massless scalar field in global AdS. They involve a constantly rising source for the scalar field at the boundary and thereby we name them pumping solutions. We construct them numerically in $D=4$. They are regular and, generically, have negative mass. We perform a study of linear and nonlinear stability and find both stable and unstable branches. In the latter case, solutions belonging to different sub-branches can either decay to black holes or to limiting cycles. This observation motivates the search for non-stationary exactly time-periodic solutions which we actually construct. We clarify the role of pumping solutions in the context of quasistatic adiabatic quenches. In $D=3$ the pumping solutions can be related to other previously known solutions, like magnetic or translationally-breaking backgrounds. From this we derive an analytic expression.

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Pablo Carracedo, Javier Mas, Daniele Musso, Alexandre Serantes. 2016-12-22. Adiabatic pumping solutions in global AdS. https://doi.org/10.1007/jhep05(2017)141

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