The entropy of an acoustic black hole in Bose-Einstein condensates

Details The entropy of an acoustic black hole in Bose-Einstein condensates The entropy of an acoustic black hole in Bose-Einstein condensates

2011-06-23

arxiv.org/abs/1106.4764v4

Phys. Rev. D 84, 124009 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Few more comments added. Version accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.84.124009

We compute the entanglement entropy associated to the Hawking emission of a $(1+1)$-dimensional acoustic black hole in a Bose-Einstein condensate. We use the brick wall model proposed by 't Hooft, adapted to the momentum space, in order to tackle the case when high frequency dispersion is taken in account. As expected, we find that in the hydrodynamic limit the entropy only depends on the size of the box in the near-horizon region, as for gravitational $(1+1)$-dimensional black holes. When dispersion effects are considered, we find a correction that depends on the square of the size of the near-horizon region measured in units of healing length, very similar to the universal correction to the entropy found in the case of spin-1/2 Heisenberg XX chains.

Affiliated with

Also associated with

No associations

Rating

The entropy of an acoustic black hole in Bose-Einstein condensates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The entropy of an acoustic black hole in Bose-Einstein condensates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The entropy of an acoustic black hole in Bose-Einstein condensates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470342