Power-law corrections to entanglement entropy of horizons

Abstract

We reexamine the idea that the origin of black-hole entropy may lie in the entanglement of quantum fields between the inside and outside of the horizon. Motivated by the observation that certain modes of gravitational fluctuations in a black-hole background behave as scalar fields, we compute the entanglement entropy of such a field, by tracing over its degrees of freedom inside a sphere. We show that while this entropy is proportional to the area of the sphere when the field is in its ground state, a correction term proportional to a fractional power of area results when the field is in a superposition of ground and excited states. The area law is thus recovered for large areas. Further, we identify the location of the degrees of freedom that give rise to the above entropy.

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

“…Another significant correction term to the horizon entropy expression appeared while dealing with the entanglement of quantum fields inside and outside of the horizon where the wave function of the field is chosen to be a superposition of ground state and excited state [53]. So the associated power law corrected entropy expression becomes [54,55] …”

Generalized second law of thermodynamics with corrected entropy in tachyon cosmology

“…When dealing with the entanglement of quantum fields in and out the horizon, power-law corrections appear, as for example [48][49][50][51] …”

Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff

“…The second class of ECHDE, power-law correction of entropy (PLEC), is appeared in dealing with the entanglement of quantum fields in and out of the horizon [16]. In this model, the corrected-entropy is given by [3] …”

“…More detail is referred to [3,16,17]. It is worthwhile to mention that in the most acceptable range of 4 > α > 2 [3,16], the correction term (i.e.…”