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• W3100876596 abstract "We consider quantum quench by a time dependent double trace coupling in a strongly coupled large N field theory which has a gravity dual via the AdS/CFT correspondence. The bulk theory contains a self coupled neutral scalar field coupled to gravity with negative cosmological constant. We study the scalar dynamics in the probe approximation in two backgrounds: AdS soliton and AdS black brane. In either case we find that in equilibrium there is a critical phase transition at a {em negative} value of the double trace coupling $kappa$ below which the scalar condenses. For a slowly varying homogeneous time dependent coupling crossing the critical point, we show that the dynamics in the critical region is dominated by a single mode of the bulk field. This mode satisfies a Landau-Ginsburg equation with a time dependent mass, and leads to Kibble Zurek type scaling behavior. For the AdS soliton the system is non-dissipative and has $z=1$, while for the black brane one has dissipative $z=2$ dynamics. We also discuss the features of a holographic model which would describe the non-equilibrium dynamics around quantum critical points with arbitrary dynamical critical exponent $z$ and correlation length exponent $nu$. These analytical results are supported by direct numerical solutions." @default.
• W3100876596 created "2020-11-23" @default.
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• W3100876596 date "2013-12-01" @default.
• W3100876596 modified "2023-09-28" @default.
• W3100876596 title "Quantum quench and double trace couplings" @default.
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• W3100876596 doi "https://doi.org/10.1007/jhep12(2013)070" @default.
• W3100876596 hasPublicationYear "2013" @default.
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