Casimir–Polder-Like Force for an Atom in Hartle–Hawking Vacuum outside a Schwarzschild Black Hole

doi:10.1088/0256-307X/29/8/080403

Chin. Phys. Lett.

2012, Vol. 29

Issue (8): 080403 DOI: 10.1088/0256-307X/29/8/080403

GENERAL

Casimir–Polder-Like Force for an Atom in Hartle–Hawking Vacuum outside a Schwarzschild Black Hole

ZHANG Jia-Lin^1**, YU Hong-Wei^2,1**

¹Institute of Physics and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081
²Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211

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Abstract We calculate the energy level shift of a static ground state two-level atom interacting with fluctuating massless scalar fields in the Hartle–Hawking vacuum outside a Schwarzschild black hole. It is found that the energy level shift is position-dependent and gives rise to a force on the atom besides the classical gravitational force. This force behaves like r^?1(r?2M)^?1 for r approaching 2M, whereas it behaves like r^?2 for large r.

Received: 12 April 2012 Published: 31 July 2012

PACS:	04.62.+v	(Quantum fields in curved spacetime)
	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	12.20.Ds	(Specific calculations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/8/080403 OR https://cpl.iphy.ac.cn/Y2012/V29/I8/080403

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