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- W2183625769 abstract "So far the Bloch-Siegert shift of the Rabi model has only been cal- culated numerically or by means of perturbation theory valid in either the weak or strong driving regime only. Recently Yan, Lu, and Zheng (Phys. Rev. A 91, 053834 (2015)) showed how to reduce the problem to solving a system of three nonlinear equations. Here, we pursue an alterna- tive approach based on a perturbation expansion extrapolation technique. We are thus able to derive an explicit analytical approximation formula for the Bloch-Siegert shift of the Rabi model which is valid for all parameter regimes from weak to strong driving. Comparison with numerically ex- act results reveals an excellent agreement over the entire driving-strength range. The Rabi model, which describes a harmonically driven two level system, is a paradigmatic quantum system which finds various physical applications such as atoms in magnetic fields (1, 2), cavity quantum electrodynamics (3), quantum dynamics and transport (4, 5) and quantum information theory (6) to give a few examples. Its Hamiltonian is given by H(t) = 1 !0�z + A 2 cos(!t)�x" @default.
- W2183625769 created "2016-06-24" @default.
- W2183625769 creator A5056553500 @default.
- W2183625769 date "2015-12-01" @default.
- W2183625769 modified "2023-09-27" @default.
- W2183625769 title "An approximation formula for the Bloch-Siegert shift of the Rabi model" @default.
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- W2183625769 hasPublicationYear "2015" @default.
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