Power Law Corrections to BTZ Black Hole Entropy

Abstract

We study the quantum scalar field in the background of BTZ black hole and evaluate the entanglement entropy of the non-vacuum states. The entropy is proportional to the area of event horizon for the ground state, but the area law is violated in the case of non-vacuum states (first excited state and mixed states) and the corrections scale as power law.

21 pages, 3 figures, Journal Version

References in corpus (2)

• Power-law corrections to entanglement entropy of horizons
• Entanglement entropy of two-dimensional Anti-de Sitter black holes

Cited by in corpus (1)

• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar