### Abstract

Environmental influences on the dynamics of a coupled qubit-oscillator system are studied analytically in a regime where deviations from the exactly solvable Jaynes-Cummings model are important. We investigate the case of a quasi-degenerate qubit within the ultra-strong coupling regime for which the qubit frequency is much smaller than the frequency of the oscillator, and the coupling between the qubit and the oscillator is large, both of which invalidate the usually employed rotating wave approximation. In contrast to the standard quantum optics master equation, we explicitly take the qubit-oscillator coupling into account while microscopically deriving a dressed state master equation. Using the derived master equation, we discuss a spectroscopic technique which can be used to probe the dressed energy-level structure of the qubit-oscillator system.

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

Article number | 224017 |

Journal | Journal of Physics B: Atomic, Molecular and Optical Physics |

Volume | 46 |

Issue number | 22 |

DOIs | |

State | Published - Nov 28 2013 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics

### Cite this

*Journal of Physics B: Atomic, Molecular and Optical Physics*,

*46*(22), [224017]. https://doi.org/10.1088/0953-4075/46/22/224017

**Dissipation of the Rabi model beyond the Jaynes-Cummings approximation : Quasi-degenerate qubit and ultra-strong coupling.** / Agarwal, S.; Hashemi Rafsanjani, Seyed Mohammad; Eberly, J. H.

Research output: Contribution to journal › Article

*Journal of Physics B: Atomic, Molecular and Optical Physics*, vol. 46, no. 22, 224017. https://doi.org/10.1088/0953-4075/46/22/224017

}

TY - JOUR

T1 - Dissipation of the Rabi model beyond the Jaynes-Cummings approximation

T2 - Quasi-degenerate qubit and ultra-strong coupling

AU - Agarwal, S.

AU - Hashemi Rafsanjani, Seyed Mohammad

AU - Eberly, J. H.

PY - 2013/11/28

Y1 - 2013/11/28

N2 - Environmental influences on the dynamics of a coupled qubit-oscillator system are studied analytically in a regime where deviations from the exactly solvable Jaynes-Cummings model are important. We investigate the case of a quasi-degenerate qubit within the ultra-strong coupling regime for which the qubit frequency is much smaller than the frequency of the oscillator, and the coupling between the qubit and the oscillator is large, both of which invalidate the usually employed rotating wave approximation. In contrast to the standard quantum optics master equation, we explicitly take the qubit-oscillator coupling into account while microscopically deriving a dressed state master equation. Using the derived master equation, we discuss a spectroscopic technique which can be used to probe the dressed energy-level structure of the qubit-oscillator system.

AB - Environmental influences on the dynamics of a coupled qubit-oscillator system are studied analytically in a regime where deviations from the exactly solvable Jaynes-Cummings model are important. We investigate the case of a quasi-degenerate qubit within the ultra-strong coupling regime for which the qubit frequency is much smaller than the frequency of the oscillator, and the coupling between the qubit and the oscillator is large, both of which invalidate the usually employed rotating wave approximation. In contrast to the standard quantum optics master equation, we explicitly take the qubit-oscillator coupling into account while microscopically deriving a dressed state master equation. Using the derived master equation, we discuss a spectroscopic technique which can be used to probe the dressed energy-level structure of the qubit-oscillator system.

UR - http://www.scopus.com/inward/record.url?scp=84888315778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888315778&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/46/22/224017

DO - 10.1088/0953-4075/46/22/224017

M3 - Article

AN - SCOPUS:84888315778

VL - 46

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 22

M1 - 224017

ER -