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Reversible quantum information spreading in many-body systems near criticality | | Quirin Hummel
; Benjamin Geiger
; Juan Diego Urbina
; Klaus Richter
; | | Date: |
21 Dec 2018 | | Abstract: | Quantum chaotic interacting $N$-particle systems are assumed to show fast and
irreversible spreading of quantum information on short (Ehrenfest) time scales
$sim!log N$. Here we show that, near criticality, certain many-body systems
exhibit fast initial scrambling, followed subsequently by oscillatory behavior
between reentrant localization and delocalization of information in Hilbert
space. Specifically, we consider quantum critical bosonic systems with
attractive contact interaction that, despite being integrable, exhibit locally
unstable dynamics in the corresponding many-body phase space of the large-$N$
limit. Semiclassical quantization of the latter accounts for many-body
correlations in excellent agreement with simulations. Most notably, it predicts
an asymptotically constant local level spacing $hbar/ au$, again given by
$ au! sim! log N$. This governs the long-time behavior of
out-of-time-order correlators that feature quasi-periodic recurrences
indicating reversibility. | | Source: | arXiv, 1812.9237 | | Services: | Forum | Review | PDF | Favorites | |
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