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

Thierry Bastin, John Martin

Published May 18, 2005• 1 citation
OpenAlex

Abstract

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.

Related papers

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

Thierry Bastin, J Martin

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.

arXiv:quant-ph/0505133•Journal of Physics B Atomic Molecular and Optical Physics•Oct 8, 2003•2 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

Quantum inversion of cold atoms in a microcavity: spatial dependence

Mahmoud Abdel‐Aty, A.‐S. F. Obada

The atomic inversion of cold atoms in a microcavity when its centre-of-mass (CM) motion is described quantum mechanically is presented, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. It is shown that the spatial dependence of the atomic inversion is very sensitive to changes of the atomic CM motion, as well as the cavity length. For ultracold atoms, different behaviours in the atomic inversion are demonstrated for the change in cavity length. The general conclusions reached are illustrated by numerical results.

Journal of Physics B Atomic Molecular and Optical Physics•Feb 13, 2002•9 citations

Quantum inversion of cold atoms in a microcavity

Si-de Du, Zhou Lu-wei, Shangqing Gong +2 more

We study quantum inversion of a cold atom in the Jaynes-Cummings model when its centre-of-mass (CM) motion is described quantum mechanically. The atom and the quantized cavity mode are initially prepared in the excited state and the coherent state, respectively. Many dramatic changes take place in atomic inversion when the atomic CM motion experiences a transition from the classical regime to the quantum regime. For ultra-cold atoms, in particular, fine resonances are found in the inversion. This novel effect, which originates from the de Broglie wave character of the atomic CM motion, is a direct manifestation of the `granularity' of the high-intensity cavity field. By means of the atom-field dressed-state picture, we explain the related phenomena in a qualitative way.

Journal of Physics B Atomic Molecular and Optical Physics•Nov 30, 1999•6 citations

INDUCED EMISSION OF COLD ATOMS PASSING THROUGH A MICROMASER CAVITY: SPATIAL DEPENDENCE

Mahmoud Abdel‐Aty, A.‐S. F. Obada

The emission probability of a cold atom in a microcavity when its center-of-mass motion is described quantum mechanically is presented, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. In particular, the mesa mode cavity profile is considered. The quantum theory of the one-photon mazer is constructed in the framework of the dressed-state coordinate formalism. Simple expressions for the atomic populations, the cavity photon statistics, and the reflection and transmission probabilities are given for any initial state of the atom-field system. The general conclusions reached are illustrated by numerical results.

Modern Physics Letters B•Feb 20, 2002•9 citations

Population Inversion of Two Atoms In a Cavity

Dongmei Liu

We investigate the bare-state populations for a coherently driven two two-level atoms coupled to a single-mode cavity in the bad cavity limit.By adjusting the detuning of the cavity-mode frequency from the driving filed frequency to the generalized Rabi frequency,we can find the phenomenon of the bare-state population inversion.

Journal of Anqing Teachers College•Jan 1, 2010•0 citations
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.
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.
The atomic inversion of cold atoms in a microcavity when its centre-of-mass (CM) motion is described quantum mechanically is presented, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. It is shown that the spatial dependence of the atomic inversion is very sensitive to changes of the atomic CM motion, as well as the cavity length. For ultracold atoms, different behaviours in the atomic inversion are demonstrated for the change in cavity length. The general conclusions reached are illustrated by numerical results.
We study quantum inversion of a cold atom in the Jaynes-Cummings model when its centre-of-mass (CM) motion is described quantum mechanically. The atom and the quantized cavity mode are initially prepared in the excited state and the coherent state, respectively. Many dramatic changes take place in atomic inversion when the atomic CM motion experiences a transition from the classical regime to the quantum regime. For ultra-cold atoms, in particular, fine resonances are found in the inversion. This novel effect, which originates from the de Broglie wave character of the atomic CM motion, is a direct manifestation of the `granularity' of the high-intensity cavity field. By means of the atom-field dressed-state picture, we explain the related phenomena in a qualitative way.
The emission probability of a cold atom in a microcavity when its center-of-mass motion is described quantum mechanically is presented, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. In particular, the mesa mode cavity profile is considered. The quantum theory of the one-photon mazer is constructed in the framework of the dressed-state coordinate formalism. Simple expressions for the atomic populations, the cavity photon statistics, and the reflection and transmission probabilities are given for any initial state of the atom-field system. The general conclusions reached are illustrated by numerical results.