Multiphoton resonance band and Bloch-Siegert shift in a bichromatically driven qubit

• URL: http://arxiv.org/abs/2304.02676v1
• Date: Wed, 5 Apr 2023 18:11:00 GMT
• Title: Multiphoton resonance band and Bloch-Siegert shift in a bichromatically driven qubit
• Authors: Yiying Yan, Zhiguo L\"u, Lipeng Chen, Hang Zheng
• Abstract summary: We study the resonance and dynamics of a qubit exposed to a strong aperiodic bichromatic field by using a periodic counter-rotating hybridized rotating wave (CHRW) Hamiltonian. It is found that the consistency between the CHRW results and numerically exact generalized-Floquet-theory (GFT) results in the valid regime of the former while the widely used rotating-wave approximation (RWA) breaks down.
• Score: 1.6058099298620423
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the resonance and dynamics of a qubit exposed to a strong aperiodic bichromatic field by using a periodic counter-rotating hybridized rotating wave (CHRW) Hamiltonian, which is derived from the original Hamiltonian with the unitary transformations under a reasonable approximation and enables the application of the Floquet theory. It is found that the consistency between the CHRW results and numerically exact generalized-Floquet-theory (GFT) results in the valid regime of the former while the widely used rotating-wave approximation (RWA) breaks down. We illustrate that the resonance exhibits band structure and the Bloch-Siegert shifts induced by the counter-rotating couplings of the bichromatic field become notable at the multiphoton resonance band. In addition, the CHRW method is found to have a great advantage of efficiency over the GFT approach particularly in the low beat-frequency case where the latter converges very slowly. The present CHRW method provides a highly efficient way to calculate the resonance frequency incorporating the Bloch-Siegert shift and provides insights into the effects of the counter-rotating couplings of the bichromatic field in the strong-driving regimes.

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