OPTICS AND NUCLEAR PHYSICS

Theory of composite Ramsey sequences of radiofrequency pulses beyond the rotating wave approximation

V. I. Yudin^abc, O. N. Prudnikov^ab, A. V. Taichenachev^ab, M. Yu. Basalaev^bac, V. G. Pal'chikov^de, S. N. Bagayev<sup>ab

a</sup> Novosibirsk State University, 630090, Novosibirsk, Russia
^b Institute of Laser Physics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia
^c Novosibirsk State Technical University, 630073, Novosibirsk, Russia
^d National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia
^e All-Russian Research Institute of Physical and Radio Engineering Measurements, 141570, Mendeleevo, Moscow region, Russia

Abstract: We develop a theory of composite Ramsey sequences of rf pulses interacting with the Zeeman structure at the long-lived atomic level, beyond the rotating wave approximation. Such sequences are proposed in experiments to detect the violation of local Lorentz invariance [R. Shaniv, R. Ozeri, M.S. Safronova, S.G. Porsev, V.A. Dzuba, V.V. Flambaum, and H. Häffner, Phys. Rev. Lett. 120, 103202 (2018)]. Based on Fourier analysis, we have shown that taking into account non-resonant contributions leads to a radical change in the dynamics of the quantum system (with respect to the rotating wave approximation) in the case when the number of Ramsey pulses exceeds several tens. As a result, the effectiveness of using such rf pulses sequences to test local Lorentz invariance has not yet been fully determined and requires additional research.

Received: 06.06.2024
Revised: 06.06.2024
Accepted: 10.06.2024

DOI: 10.31857/S1234567824130056

 English version: Journal of Experimental and Theoretical Physics Letters, 2024, 120:1, 28–32