Volume 121, Number 6, March 2018
|Number of page(s)||6|
|Published online||16 May 2018|
Slow scrambling in sonic black holes
1 Department of Physics, University of Massachusetts - Amherst, MA 01003, USA
2 Departamento de Física, Universidade Federal Rural do Rio de Janeiro - 23897-000 Seropédica, RJ, Brazil
3 Department of Physics and Center for Theory of Quantum Matter, University of Colorado Boulder Boulder, CO 80309, USA
4 JILA, NIST and University of Colorado, Department of Physics, University of Colorado Boulder, CO 80309, USA
Received: 27 February 2018
Accepted: 23 April 2018
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 of OTOCs in contrast to the exponential increase in time expected for fast scramblers.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 03.67.-a – Quantum information
© EPLA, 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.