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2016

Quantum Revivals in Conformal Field Theories in Higher Dimensions

Cardy, John

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We investigate the behavior of the return amplitude ${\cal F}(t)= |\langle\Psi(0)|\Psi(t)\rangle|$ following a quantum quench in a conformal field theory (CFT) on a compact spatial manifold of dimension $d-1$ and linear size $O(L)$, from a state $|\Psi(0)\rangle$ of extensive energy with short-range correlations.

After an initial gaussian decay ${\cal F}(t)$ reaches a plateau value related to the density of available states at the initial energy.
However for $d=3,4$ this value is attained from below after a single oscillation.
For a holographic CFT the plateau persists up to times at least $O(\sigma^{1/(d-1)} L)$, where $\sigma\gg1$ is the dimensionless Stefan-Boltzmann constant.

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J Cardy, Nucl. Phys. B
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J Cardy, Nucl. Phys. B
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P A MacMahon, in
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Then

J Cardy, Phys. Rev. Lett
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2015
Later among the works it cites.
J Cardy, J. Stat. Mech. 023103 (2016)
2016
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