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Open Quantum Systems Decoherence

Slow scrambling in sonic black holes

arXiv
Authors: G. Menezes, J. Marino

Year

2017

Paper ID

24485

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

We study from the perspective of quantum information scrambling an acoustic black hole modelled by two semi-infinite, stationary, one dimensional condensates, connected by a spatial step-like discontinuity, and flowing respectively at subsonic and supersonic velocities. We develop a simple analytical treatment based on Bogolyubov theory of quantum fluctuations which is sufficient to derive analogue Hawking emission, and we compute out-of-time order correlations (OTOCs) of the Bose density field. We find that sonic black holes are slow scramblers contrary to their astrophysical counterparts: this manifests in a power law growth propto t2 of OTOCs in contrast to the exponential increase in time expected for fast scramblers.

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  • We study from the perspective of quantum information scrambling an acoustic black hole modelled by two semi-infinite, stationary, one dimensional condensates, connected by a...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.05456 [2] arXiv https://arxiv.org/abs/1712.05456 [3] Publisher https://arxiv.org/abs/1712.05456

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