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

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, et al., 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.

arXiv comment5 pages, 4 figures

References in corpus (15)

• Dynamical Decoupling of Open Quantum Systems
• Search for New Physics with Atoms and Molecules
• Fault-Tolerant Quantum Dynamical Decoupling
• Optical clock comparison test of Lorentz symmetry
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• On Lorentz violation in Horava-Lifshitz type theories
• Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling
• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Long-time Low-latency Quantum Memory by Dynamical Decoupling
• New ideas for tests of Lorentz invariance with atomic systems
• Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
• Improved Test of Local Lorentz Invariance from a Deterministic Preparation of Entangled States
• Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks
• Robust and scalable rf spectroscopy in first-order magnetic sensitive states at second-long coherence time