Journal
PHYSICAL REVIEW A
Volume 86, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.86.015803
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Funding
- 973 Program [2012CB921603]
- NNSFC [10934004, 60978018, 10904092, 11074154, 11074184, 61008012]
- NNSFC Project for Excellent Research Team [61121064]
- International Science and Technology Cooperation Program of China [2001DFA12490]
- SRPPED [Q20101308]
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In this Brief Report, we present a perturbation theory that omits the weak multiphoton process to obtain analytical solutions for the Rabi model. Under this approximation, the Rabi model can be mapped into the solvable Jaynes-Cummings-like model by choosing a proper variation parameter. As a result, both the ground-and excited-state-energy spectrums and wave functions can be derived easily. Moreover, these explicit results agree well with the direct numerical simulation in a wide range of the experimental parameters. In addition, based on our obtained energy spectrums, the recent experimental observation of the Bloch-Siegert shift in the circuit quantum electrodynamics with ultrastrong coupling can be explained perfectly. We believe that our results have potential applications in solid-state quantum-information processing.
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