Holographic Quantum Scars
- URL: http://arxiv.org/abs/2212.05962v3
- Date: Wed, 5 Jul 2023 09:35:06 GMT
- Title: Holographic Quantum Scars
- Authors: Diego Liska, Vladimir Gritsev, Ward Vleeshouwers, Ji\v{r}\'i
Min\'a\v{r}
- Abstract summary: We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct scarred states.
A geometrical interpretation allows us to compute the expectation value of the stress tensor and entanglement entropy of these scarred states.
We identify fixed points on the CFT plane associated with divergent or vanishing entanglement entropy in the limit where the scarred states have infinite energy.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We discuss a construction of quantum many-body scars in the context of
holography. We consider two-dimensional conformal field theories and use their
dynamical symmetries, naturally realized through the Virasoro algebra, to
construct scarred states. By studying their Loschmidt amplitude, we evaluate
the states' periodic properties. A geometrical interpretation allows us to
compute the expectation value of the stress tensor and entanglement entropy of
these scarred states. We show that their holographic dual is related by a
diffeomorphism to empty AdS, even for energies above the black hole threshold.
We also demonstrate that expectation values in the scarred states are generally
non-thermal and that their entanglement entropy grows with the energy as
$\log(E)$ in contrast to $\sqrt{E}$ for the typical (bulk) states. Furthermore,
we identify fixed points on the CFT plane associated with divergent or
vanishing entanglement entropy in the limit where the scarred states have
infinite energy.
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