Abstract
By using single-mode squeezed thermal states prescription, we study the particle production due to thermal black hole. We analyze that thermal squeezing for a black hole can also be a possible mechanism in order to compute the variation of entropy and mass parameter. We also find a relation of Hawking’s temperature with thermal squeezing parameter.
Similar content being viewed by others
References
Takahashi, Y., Umezawa, H.: Thermo-field dynamics. Int. J. Mod. Phys. B 10, 1755–1805 (1996)
Barnett, S.M., Knight, P.L.: Thermo-field analysis of squeezing and statistical mixtures in quantum optics. J. Opt. Soc. Am. B2, 467 (1985)
Barnett, S.M., Knight, P.L.: Squeezing in correlated quantum systems. J. Mod. Opt. 34, 841 (1987)
Hawking, S.W.: Particle creation by black holes. Commun. Math. Phys. 43, 199 (1975)
Barman, S., Hossain, G.M.: Consistent derivation of the Hawking effect for both non-extremal and extremal kerr black holes. Phys. Rev. D99, 065010 (2019)
Kiefer, C., Muller, R., Singh, T.P.: Quantum gravity and non-unitarity in black hole evaporation. Mod. Phys. Lett. A 9, 2661 (1994)
Bekenstin, J.D.: Black holes and entropy. Phys. Rev. D 7, 2333 (1973)
Page, D.N.: Is black-hole evaporation predictable. Phys.Rev.Lett. 301, 44 (1980)
Muller, R., Lousto, R.C.O.: Recovery of information from black hole radiation by considering stimulated emission. Phys. Rev. D 49, 1922 (1994)
Giddings, S.W., Nelson, W.M.: Quantum emission from two-dimensional black holes. Phys. Rev D 46, 2486 (1992)
Saini, A., Stojkovic, D.: Gravitational collapse and Hawking-like radiation of a shell in Ads sapcetime. Phys. Rev. D97, 025020 (2018)
Hawking, S.W.: The unpredictability of quantum gravity. Commun. Math. Phys. 87, 395 (1982)
Hawking, S.W.: Breakdown of predictability in gravitational collapse. Phys. Rev. D 14, 2460 (1976)
Page, D.N.: Time Dependence of Hawking Radiation Entropy. Phys. Rev. Lett. 71, 1291 (1993). [gr-qc/9305007]
Saini, A., Stojkovic, D.: Radiation from a collapsing object is manifestly unitary. Phys. Rev. Lett. 114, 111301 (2015)
Gasperini, M., Giovanni, M.: Entropy production in the cosmological amplification of the vacuum fluctuations. Phys. Lett. B 30, 1334 (1993)
Gasperini, M., Giovanni, M.: Quantum squeezing and cosmological entropy production class. Quantum Grav. L 10, 133 (1993)
Schumaker, B.L.: Quantum mechanical pure states with Gaussian wave functions. Phys. Rep. 135, 317 (1986)
Grishchuk, L.P., Sidorov, Y.V.: Squeezed quantum states of relic gravitons and primordial density fluctuations. Phys. Rev. D 42, 3413 (1993)
Caves, C.M.: Quantum mechanical noise in an interferometer. Phys. Rev. D 23, 1693 (1981)
Matacz, A.L.: Coherent state representation of quantum fluctuations in the early Universe. Phys. Rev. D 49, 788 (1994)
Albrecht, A., et al.: Inflation and squeezed quantum states. Phys. Rev. D 50, 4807 (1994)
Suresh, P.K., Kuriakose, V.C., Joseph, K.B.: Squeezed state representation of the scalar field and vacuum fluctuations in the early universe. Int. J. Mod. Phys. D 6, 771 (1995)
Suresh, P.K., Kuriakose, V.C.: Squeezed states representation of quantum fluctuation and Semiclassical theory. Mod. Phys. Lett. A 13, 165 (1998)
Venkataratnam, K.K., Suresh, P.K.: Particle production of coherently oscillating non-classical inflaton in FRW universe. Int. J. Mod. Phys. D 13, 239 (2004)
Venkataratnam, K.K.: Behavior of non-classical inflaton in the FRW universe. Mod. Phys. Lett. A 28, 1350168 (2013)
Laplae, L., Mancini, F., Umezawa, H.: Vacuum in thermo field dynamics. Phys. Rep. C10, 151 (1974)
Takahashi, Y., Umezawa, H.: Higher order calculation in thermo field theory. Collect. Phenom. 2, 55 (1975)
Umezawa, H., Yamanaka, Y.: Micro, macro and thermal concepts in quantum field theory. Adv. Phys. 37, 531 (1988)
Fearm, H.M.J.: Representations of squeezed states with thermal noise. Collett J. M.d. Opt. 35, 553 (1988)
Chaturvedi, S., et al.: Thermal counterparts of non-classical states in quantum optics. Phys. Rev. A. 41 (1990)
Lee, C.T.: Two-mode squeezed states with thermal noise. Phys. Rev. A42(7), 4193 (1990)
Xu, X.-L., et al.: Quantum fluctuations of mesoscopic RLC circuit involving complicated coupling in thermal squeezed state. Phys. B 396, 199 (2007)
Barman, S., Hossain, G.M., Singha, C.: An exact derivation of the Hawking effect in canonical formulation. Phys. Rev. D97, 025016 (2018)
Dominguez Tenoreiro, R., Quiors, M.: An Introduction to Cosmology and Particle Physics. World Scientific, Singapore (1988)
Shapiro, S.L., Teulkolsky, S.A.: Black Holes, White Dwarfs and Neutron Stars. Wiley, Hoboken (1983)
Gibbon, G.W., Hawking, S.W.: Cosmological event horizons, thermodynamics, and particle creation. Phys. Rev. D15, 2738 (1977)
Saini, A., Stojkovic, D.: Hawking-like radiation and density matrix of an infalling observer during gravitational collapse. Phys. Rev. D94, 064028 (2016)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Dhayal, R., Rathore, M. & Venkataratnam, K.K. Single-Mode Squeezed Thermal States and Black Holes. Int J Theor Phys 58, 4311–4322 (2019). https://doi.org/10.1007/s10773-019-04303-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-019-04303-4