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arXiv:quant-ph/0504225 · Physical Review A

Comment on “Detuning effects in the one-photon mazer”

Mahmoud Abdel‐Aty

Published Oct 8, 2004• 1 citation
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Abstract

In a recent work, Bastin and Martin [Phys. Rev. A 67, 053804 (2003)] analyzed the quantum theory of the mazer in the off-resonant case. However, our analysis of this case refutes their claim by showing that their evaluation of the coupled equations for the off-resonant case is not satisfactory. The correct expression can be obtained by applying appropriate formulas for the involved dressed-state parameters.

DOI
10.1103/physreva.70.047801

Related papers

Reply to “Comment on ‘Detuning effects in the one-photon mazer’ ”

Thierry Bastin, John Martin

We refute in this Reply the criticisms made by M. Abdel-Aty [Phys. Rev. A 70, 047801 (2004)]. We show that none of them are founded and we demonstrate very explicitly what is wrong in the arguments developed by this author.

arXiv:quant-ph/0505134•Physical Review A•Oct 8, 2004•0 citations

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

Mahmoud Abdel‐Aty, A.‐S. F. Obada

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.

arXiv:quant-ph/0310121•Journal of Physics B Atomic Molecular and Optical Physics•Apr 7, 2004•4 citations

Comment on "Detuning effects in the one-photon mazer" (2 pages)

Mahmoud Abdel‐Aty

Physical Review A•Jan 1, 2004•0 citations

Reply to "Comment on `Detuning effects in the one-photon mazer'" (4 pages)

John Martin, Thierry Bastin

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Detuning effects in the one-photon mazer

Thierry Bastin, John Martin

The quantum theory of the mazer in the nonresonant case (a detuning between the cavity mode and the atomic transition frequencies is present) is described. The generalization from the resonant case is far from being direct. Interesting effects of the mazer physics are pointed out. In particular, it is shown that the cavity may slow down or speed up the atoms according to the sign of the detuning and that the induced emission process may be completely blocked by use of a positive detuning. It is also shown that the detuning adds a potential step effect not present at resonance and that the use of positive detunings defines a well-controlled cooling mechanism. In the special case of a mesa cavity mode function, generalized expressions for the reflection and transmission coefficients have been obtained. The general properties of the induced emission probability are finally discussed in the hot, intermediate, and cold atom regimes. Comparison with the resonant case is given.

arXiv:quant-ph/0412043•Physical Review A•May 27, 2003•27 citations

Detuning Effects in the One-Photon Mazer

汪启胜, 杜四德, 周鲁卫 +2 more

A theoretical approach is proposed to deal with the detuning between the atom and cavity field in the one-photon mazer. Our starting point is to find a conserved quantity, which is characteristic of the atom plus field system. Resorting to this characteristic conserved quantity, we separate the Hamiltonian into two independent parts and then solve the Schr6dinger equation of quantum scattering of an incident cold atom. We investigate the detuning effects on the one-photon induced emission probability and obtain some distinct results in contrast to the previous work.

Chinese Physics Letters•Jan 1, 2004•0 citations
In a recent work, Bastin and Martin [Phys. Rev. A 67, 053804 (2003)] analyzed the quantum theory of the mazer in the off-resonant case. However, our analysis of this case refutes their claim by showing that their evaluation of the coupled equations for the off-resonant case is not satisfactory. The correct expression can be obtained by applying appropriate formulas for the involved dressed-state parameters.
The quantum theory of the mazer in the nonresonant case (a detuning between the cavity mode and the atomic transition frequencies is present) is described. The generalization from the resonant case is far from being direct. Interesting effects of the mazer physics are pointed out. In particular, it is shown that the cavity may slow down or speed up the atoms according to the sign of the detuning and that the induced emission process may be completely blocked by use of a positive detuning. It is also shown that the detuning adds a potential step effect not present at resonance and that the use of positive detunings defines a well-controlled cooling mechanism. In the special case of a mesa cavity mode function, generalized expressions for the reflection and transmission coefficients have been obtained. The general properties of the induced emission probability are finally discussed in the hot, intermediate, and cold atom regimes. Comparison with the resonant case is given.
A theoretical approach is proposed to deal with the detuning between the atom and cavity field in the one-photon mazer. Our starting point is to find a conserved quantity, which is characteristic of the atom plus field system. Resorting to this characteristic conserved quantity, we separate the Hamiltonian into two independent parts and then solve the Schr6dinger equation of quantum scattering of an incident cold atom. We investigate the detuning effects on the one-photon induced emission probability and obtain some distinct results in contrast to the previous work.