Slow scrambling in sonic black holes
Abstract
We study from the perspective of quantum information scrambling an acoustic black hole modeled 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 the Bogoliubov theory of quantum fluctuations which is sufficient to derive an analogue Hawking emission, and we compute out-of-time order correlations (OTOCs) of the Bose density field. We find that a large class of sonic black holes presents slow scrambling contrary to their astrophysical counterparts. This manifests itself in a power law growth \propto t2 of OTOCs in contrast to the exponential increase in time expected for fast scramblers.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- March 2018
- DOI:
- 10.1209/0295-5075/121/60002
- arXiv:
- arXiv:1712.05456
- Bibcode:
- 2018EL....12160002M
- Keywords:
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- Condensed Matter - Quantum Gases;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- 5 pages, 2 figures