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arXiv:quant-ph/0310121 · Journal of Physics B Atomic Molecular and Optical Physics

Reply to Comment on Quantum inversion of cold atoms in a microcavity: spatial dependence

Mahmoud Abdel‐Aty, A.‐S. F. Obada

Published Apr 7, 2004• 4 citations
arXivHTMLPDF

Abstract

The question raised by Bastin and Martin ( 2003 J. Phys. B: At. Mol. Opt. Phys. 36 4201 ) is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques used in the calculation of the off-resonance case. It is also explained why this result is not a problem for the off-resonance case, but, in contrast, opens the door to a general situation.

DOI
10.1088/0953-4075/37/8/n01

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Comment on Quantum inversion of cold atoms in a microcavity: spatial dependence

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The question raised by Bastin and Martin ( 2003 J. Phys. B: At. Mol. Opt. Phys. 36 4201 ) is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques used in the calculation of the off-resonance case. It is also explained why this result is not a problem for the off-resonance case, but, in contrast, opens the door to a general situation.
In a recent work, Abdel-Aty and Obada ( 2002 J. Phys. B: At. Mol. Opt. Phys. 35 807–13 ) analysed the quantum inversion of cold atoms in a microcavity, the motion of the atoms being described quantum mechanically. Two-level atoms were assumed to interact with a single mode of the cavity, and the off-resonance case was considered (namely the atomic transition frequency is detuned from the single-mode cavity frequency). We demonstrate in this paper that this case is incorrectly treated by these authors, and we therefore question their conclusions.
In a recent work, Abdel-Aty and Obada [2002 J. Phys. B 35 807-813] analyzed the quantum inversion of cold atoms in a microcavity, the motion of the atoms being described quantum mechanically. Two-level atoms were assumed to interact with a single mode of the cavity, and the off-resonance case was considered (namely the atomic transition frequency is detuned from the single mode cavity frequency). We demonstrate in this paper that this case is incorrectly treated by these authors and we question therefore their conclusions.
The question raised by Shimony and Stein is examined and used to explain in more detail a key point of my proof that any theory that conforms to certain general ideas of orthodox relativistic quantum field theory must permit transfers of information over space-like intervals. It is also explained why this result is not a problem for relativistic quantum theory, but, on the contrary, opens the door to a satisfactory realistic relativistic quantum theory based on the ideas of Tomonaga, Schwinger, and von Neumann.