Entanglement in a model for Hawking radiation: An application of quadratic algebras

Quadratic polynomially deformed su(1,1) and su(2) algebras are utilized in model Hamiltonians to show how the gravitational system consisting of a black hole, infalling radiation and outgoing (Hawking) radiation can be solved exactly. The models allow us to study the long-time behaviour of the black hole and its outgoing modes. In particular, we calculate the bipartite entanglement entropies of subsystems consisting of (a) infalling plus outgoing modes and (b) black hole modes plus the infalling modes, using the Janus-faced nature of the model. The long-time behaviour also gives us glimpses of modifications in the character of Hawking radiation. Finally, we study the phenomenon of superradiance in our model in analogy with atomic Dicke superradiance.

► We examine a toy model for Hawking radiation with quantized black hole modes.
► We use quadratic polynomially deformed su(1,1) algebras to study its entanglement properties.
► We study the “Dicke Superradiance” in black hole radiation using quadratically deformed su(2) algebras.
► We study the modification of the thermal character of Hawking radiation due to quantized black hole modes.