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

Abstract

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. - Highlights: Black-Right-Pointing-Pointer We examine a toy model for Hawking radiation with quantized black hole modes. Black-Right-Pointing-Pointer We use quadratic polynomially deformed su(1,1) algebras to study its entanglement properties. Black-Right-Pointing-Pointer We study the 'Dicke Superradiance' in black hole radiation using quadratically deformed su(2) algebras. Black-Right-Pointing-Pointer We study the modification of the thermal character of Hawking radiation due to quantized black hole modes.

Authors:
 [1];  [2];  [1];  [1]
  1. School of Physics, University of Hyderabad, Gachibowli, Hyderabad, Andhra Pradesh, 500 046 (India)
  2. International Institute of Information Technology, Gachibowli, Hyderabad, Andhra Pradesh, 500 032 (India)
Publication Date:
OSTI Identifier:
22157085
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 330; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ALGEBRA; BLACK HOLES; COSMOLOGY; ENTROPY; GRAVITATIONAL FIELDS; HAMILTONIANS; POLYNOMIALS; QUANTUM ENTANGLEMENT; SU GROUPS; SUPERRADIANCE

Citation Formats

Bambah, Bindu A., E-mail: bbsp@uohyd.ernet.in, Mukku, C., E-mail: mukku@iiit.ac.in, Shreecharan, T., E-mail: shreecharan@gmail.com, and Siva Prasad, K., E-mail: kasettisivaprasad@gmail.com. Entanglement in a model for Hawking radiation: An application of quadratic algebras. United States: N. p., 2013. Web. doi:10.1016/J.AOP.2012.11.015.
Bambah, Bindu A., E-mail: bbsp@uohyd.ernet.in, Mukku, C., E-mail: mukku@iiit.ac.in, Shreecharan, T., E-mail: shreecharan@gmail.com, & Siva Prasad, K., E-mail: kasettisivaprasad@gmail.com. Entanglement in a model for Hawking radiation: An application of quadratic algebras. United States. https://doi.org/10.1016/J.AOP.2012.11.015
Bambah, Bindu A., E-mail: bbsp@uohyd.ernet.in, Mukku, C., E-mail: mukku@iiit.ac.in, Shreecharan, T., E-mail: shreecharan@gmail.com, and Siva Prasad, K., E-mail: kasettisivaprasad@gmail.com. 2013. "Entanglement in a model for Hawking radiation: An application of quadratic algebras". United States. https://doi.org/10.1016/J.AOP.2012.11.015.
@article{osti_22157085,
title = {Entanglement in a model for Hawking radiation: An application of quadratic algebras},
author = {Bambah, Bindu A., E-mail: bbsp@uohyd.ernet.in and Mukku, C., E-mail: mukku@iiit.ac.in and Shreecharan, T., E-mail: shreecharan@gmail.com and Siva Prasad, K., E-mail: kasettisivaprasad@gmail.com},
abstractNote = {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. - Highlights: Black-Right-Pointing-Pointer We examine a toy model for Hawking radiation with quantized black hole modes. Black-Right-Pointing-Pointer We use quadratic polynomially deformed su(1,1) algebras to study its entanglement properties. Black-Right-Pointing-Pointer We study the 'Dicke Superradiance' in black hole radiation using quadratically deformed su(2) algebras. Black-Right-Pointing-Pointer We study the modification of the thermal character of Hawking radiation due to quantized black hole modes.},
doi = {10.1016/J.AOP.2012.11.015},
url = {https://www.osti.gov/biblio/22157085}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = ,
volume = 330,
place = {United States},
year = {Fri Mar 15 00:00:00 EDT 2013},
month = {Fri Mar 15 00:00:00 EDT 2013}
}