Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Quench and Double Trace Couplings   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.

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The categories of this paper are: stat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: math
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph