### Abstract

We study the diffraction of quantum-degenerate fermionic atoms off of quantized light fields in an optical cavity. We compare the case of a linear cavity with standing-wave modes to that of a ring cavity with two counterpropagating traveling wave modes. It is found that the dynamics of the atoms strongly depends on the quantization procedure for the cavity field. For standing waves, no correlations develop between the cavity field and the atoms. Consequently, standing-wave Fock states yield the same results as a classical standing wave field while coherent states give rise to a collapse and revivals in the scattering of the atoms. In contrast, for traveling waves the scattering results in quantum entanglement of the radiation field and the atoms. This leads to a collapse and revival of the scattering probability even for Fock states. The Pauli exclusion principle manifests itself as an additional dephasing of the scattering probability.

Original language | English (US) |
---|---|

Article number | 013404 |

Journal | Physical Review A |

Volume | 71 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2005 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)

### Cite this

*Physical Review A*,

*71*(1), [013404]. https://doi.org/10.1103/PhysRevA.71.013404

**Diffraction of ultracold fermions by quantized light fields : Standing versus traveling waves.** / Meiser, D.; Search, C. P.; Meystre, Pierre.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 71, no. 1, 013404. https://doi.org/10.1103/PhysRevA.71.013404

}

TY - JOUR

T1 - Diffraction of ultracold fermions by quantized light fields

T2 - Standing versus traveling waves

AU - Meiser, D.

AU - Search, C. P.

AU - Meystre, Pierre

PY - 2005/1/1

Y1 - 2005/1/1

N2 - We study the diffraction of quantum-degenerate fermionic atoms off of quantized light fields in an optical cavity. We compare the case of a linear cavity with standing-wave modes to that of a ring cavity with two counterpropagating traveling wave modes. It is found that the dynamics of the atoms strongly depends on the quantization procedure for the cavity field. For standing waves, no correlations develop between the cavity field and the atoms. Consequently, standing-wave Fock states yield the same results as a classical standing wave field while coherent states give rise to a collapse and revivals in the scattering of the atoms. In contrast, for traveling waves the scattering results in quantum entanglement of the radiation field and the atoms. This leads to a collapse and revival of the scattering probability even for Fock states. The Pauli exclusion principle manifests itself as an additional dephasing of the scattering probability.

AB - We study the diffraction of quantum-degenerate fermionic atoms off of quantized light fields in an optical cavity. We compare the case of a linear cavity with standing-wave modes to that of a ring cavity with two counterpropagating traveling wave modes. It is found that the dynamics of the atoms strongly depends on the quantization procedure for the cavity field. For standing waves, no correlations develop between the cavity field and the atoms. Consequently, standing-wave Fock states yield the same results as a classical standing wave field while coherent states give rise to a collapse and revivals in the scattering of the atoms. In contrast, for traveling waves the scattering results in quantum entanglement of the radiation field and the atoms. This leads to a collapse and revival of the scattering probability even for Fock states. The Pauli exclusion principle manifests itself as an additional dephasing of the scattering probability.

UR - http://www.scopus.com/inward/record.url?scp=18444391490&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevA.71.013404

DO - 10.1103/PhysRevA.71.013404

M3 - Article

VL - 71

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 013404

ER -