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

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Discussion Overview

The discussion centers around the Bloch-Siegert shift, with participants seeking a clearer understanding of the concept, particularly in relation to its explanation in the context of rotating wave approximation (RWA) and the implications of different reference frames in measurements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants express confusion regarding the Wikipedia explanation of the Bloch-Siegert shift and seek a more basic understanding.
  • One participant mentions the rotating wave approximation (RWA) and its role in determining the actual resonant frequency of the system, denoted as ##\omega_0##.
  • Another participant discusses the interaction of two laser lights with the system, noting that the fast rotating term shifts the energy levels perceived by the slow rotating term, leading to a frequency shift from ##\omega_0##.
  • There is uncertainty about the transition from the rotating frame to the lab frame and whether the observed shifts are consistent across these frames, with a mention of three frames being involved in the analysis.
  • Participants question how the shift can be considered constant over time, given that the field is time-varying.

Areas of Agreement / Disagreement

Participants generally express confusion and seek clarification, indicating that multiple competing views and uncertainties remain regarding the Bloch-Siegert shift and its implications.

Contextual Notes

Participants highlight limitations in understanding the transition between different reference frames and the assumptions involved in the analysis of the Bloch-Siegert shift, particularly regarding the time-varying nature of the field.

Malamala
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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:
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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