### Abstract

We report a theoretical study of the resonance frequency shift and the linewidth broadening of a ground hyperfine transition for an optically trapped atom. We use an adiabatic approximation to disentangle the internal and the external degrees of freedom of the atom. A magnetic dipole transition driven by a resonant microwave is considered in the Lamb-Dicke approximation. We obtain the lineshape of the transition as a sum of Rabi transitions between bound states of upper and lower hyperfine levels and make a transformation into an integral form. We consider the cesium clock transition in a far-detuned optical trap as a model case and find the frequency shift and line broadening by numerical integration. We find the general dependence of the shift and the broadening on the temperature, well depth, and the wavelength of the trap beam.

Original language | English |
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Pages (from-to) | 1279-1283 |

Number of pages | 5 |

Journal | Journal of the Korean Physical Society |

Volume | 51 |

Issue number | 4 |

Publication status | Published - 2007 Oct 1 |

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### Keywords

- Dipole force trap
- Far-off-resonance trap
- Lineshape of transition

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Korean Physical Society*,

*51*(4), 1279-1283.

**Inhomogeneous broadening of a ground hyperfine transition in an optical trap.** / Kim, Huidong; Yim, Sin Hyuk; Cho, Donghyun.

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 51, no. 4, pp. 1279-1283.

}

TY - JOUR

T1 - Inhomogeneous broadening of a ground hyperfine transition in an optical trap

AU - Kim, Huidong

AU - Yim, Sin Hyuk

AU - Cho, Donghyun

PY - 2007/10/1

Y1 - 2007/10/1

N2 - We report a theoretical study of the resonance frequency shift and the linewidth broadening of a ground hyperfine transition for an optically trapped atom. We use an adiabatic approximation to disentangle the internal and the external degrees of freedom of the atom. A magnetic dipole transition driven by a resonant microwave is considered in the Lamb-Dicke approximation. We obtain the lineshape of the transition as a sum of Rabi transitions between bound states of upper and lower hyperfine levels and make a transformation into an integral form. We consider the cesium clock transition in a far-detuned optical trap as a model case and find the frequency shift and line broadening by numerical integration. We find the general dependence of the shift and the broadening on the temperature, well depth, and the wavelength of the trap beam.

AB - We report a theoretical study of the resonance frequency shift and the linewidth broadening of a ground hyperfine transition for an optically trapped atom. We use an adiabatic approximation to disentangle the internal and the external degrees of freedom of the atom. A magnetic dipole transition driven by a resonant microwave is considered in the Lamb-Dicke approximation. We obtain the lineshape of the transition as a sum of Rabi transitions between bound states of upper and lower hyperfine levels and make a transformation into an integral form. We consider the cesium clock transition in a far-detuned optical trap as a model case and find the frequency shift and line broadening by numerical integration. We find the general dependence of the shift and the broadening on the temperature, well depth, and the wavelength of the trap beam.

KW - Dipole force trap

KW - Far-off-resonance trap

KW - Lineshape of transition

UR - http://www.scopus.com/inward/record.url?scp=35648983360&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35648983360&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:35648983360

VL - 51

SP - 1279

EP - 1283

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - 4

ER -