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Kibble-Zurek scaling in holography

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arxiv 1703.00933 v2 pith:S5V7KYP7 submitted 2017-03-02 hep-th gr-qc

Kibble-Zurek scaling in holography

classification hep-th gr-qc
keywords scalinganalysisbulkcriticalholographickibble-zurektheoryaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be understood analytically from a scaling analysis of the bulk action. The argument is reminiscent of the scaling analysis of the mean-field theory but is more subtle and is not entirely obvious. This is because the scaling is not the one of the original bulk theory but is an emergent one that appears only at the critical point. The analysis is also useful to determine the dynamic critical exponent $z$.

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    In a holographic superfluid, quenching from stronger symmetry breaking relaxes faster to equilibrium, with the slowest decay mode suppressed and the second mode amplified.