dorsal/arxiv
View SchemaStationary states of Jaynes-Cummings model with atomic center-of-mass quantum motion: direct comparison of standing-wave and counterpropagating-waves cases
| Authors | A. Zh. Muradyan, G. A. Muradyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112164 |
| URL | https://arxiv.org/abs/quant-ph/0112164 |
Abstract
The eigenstate problem of the Jaynes-Cummings model on the basis of complete Hamiltonian, including the center-of -mass kinetic energy operator, is treated. The energy spectrum and wave functions in standing-wave (SW)- and counterpropagating waves (CPW)- cases are calculated and compared with each other. It is shown that in CPW-case i) the atomic momentum distribution is asymmetric and somewhat narrower in general; ii) the concept of quasimomentum is not applicable and instead the ordinary momentum concerns the problem; iii) atomic and photonic state distributions are self-consistent, and, in consequence iiii) mean number of photons in the counterpropagating traveling waves and mean atomic momentum match. Explicit analytic expressions for energy eigenvalues and eigenfunctions are found in Tavis -Cummings-type approximation [Phys. Rev. 170, 379(1968)] and is pointed, that it implies only the bounded-like states for atomic center-of-mass motion. It is also shown that if the recoil energy is taken into account, the Doppleron resonance is split into two branches, one of which diverges to Bragg-like resonance in the high-order range.
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"abstract": "The eigenstate problem of the Jaynes-Cummings model on the basis of complete\nHamiltonian, including the center-of -mass kinetic energy operator, is treated.\nThe energy spectrum and wave functions in standing-wave (SW)- and\ncounterpropagating waves (CPW)- cases are calculated and compared with each\nother. It is shown that in CPW-case i) the atomic momentum distribution is\nasymmetric and somewhat narrower in general; ii) the concept of quasimomentum\nis not applicable and instead the ordinary momentum concerns the problem; iii)\natomic and photonic state distributions are self-consistent, and, in\nconsequence iiii) mean number of photons in the counterpropagating traveling\nwaves and mean atomic momentum match. Explicit analytic expressions for energy\neigenvalues and eigenfunctions are found in Tavis -Cummings-type approximation\n[Phys. Rev. 170, 379(1968)] and is pointed, that it implies only the\nbounded-like states for atomic center-of-mass motion. It is also shown that if\nthe recoil energy is taken into account, the Doppleron resonance is split into\ntwo branches, one of which diverges to Bragg-like resonance in the high-order\nrange.",
"arxiv_id": "quant-ph/0112164",
"authors": [
"A. Zh. Muradyan",
"G. A. Muradyan"
],
"categories": [
"quant-ph"
],
"title": "Stationary states of Jaynes-Cummings model with atomic center-of-mass quantum motion: direct comparison of standing-wave and counterpropagating-waves cases",
"url": "https://arxiv.org/abs/quant-ph/0112164"
},
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