I Explaining the Bloch-Siegert Shift - A Beginner's Guide

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The discussion centers on the Bloch-Siegert shift, with participants seeking a clearer explanation of the concept. The Bloch-Siegert shift involves the interaction of two laser lights with a quantum system, where the fast rotating frequency alters the perceived resonant frequency. There is confusion regarding the transition between the rotating frame and the lab frame, particularly in how shifts are measured and whether they remain constant over time despite the time-varying nature of the field. Clarification is needed on the relationship between the different frames involved in the analysis. Understanding these dynamics is essential for grasping the implications of the Bloch-Siegert shift in quantum mechanics.
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Hello! Can someone explain to me or point me towards a basic explanation of the Bloch-Siegert shift (even the Wikipedia explanation is not clear to me)? Thank you!
 
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Malamala said:
Hello! Can someone explain to me or point me towards a basic explanation of the Bloch-Siegert shift (even the Wikipedia explanation is not clear to me)? Thank you!
Anyone, please?
 
A. Neumaier said:
What is unclear in https://en.wikipedia.org/wiki/Bloch-Siegert_shift ?
So from what I understand, in RWA we ignore the fast rotating frequency and doing so we get the actual resonant frequency of the system ##\omega_0##. If we account for the fast rotating term, we basically have 2 laser lights interacting with the system, and the fast rotating one is shifting the levels that the slow rotating one is seeing, such that the measured frequency is shifted from ##\omega_0##. I am not sure I understand how they go from the rotating frame (where they get these shifts), to the lab frame (where we actually measure them). Are the shifts the same in both frames (actually there seem to be 3 frames involved in this analysis)? What confuses me even more is how can the shift be a constant in time (##\frac{1}{4}\frac{\Omega_0^2}{\omega_0}##), given that the field is time varying?
 

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