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Unified Theory of Large Momentum Transfer in Optical Lattices

Large momentum transfer (LMT) techniques play a central role in advancing the sensitivity and precision of modern atom interferometers. Among the most successful approaches are Bloch Oscillations and sequential Bragg diffractions, which manipulate atoms through coherent light-matter interactions.

In this talk, we will present a unified theoretical framework based on Floquet theory, showing how these two processes can be understood as limiting cases of a single, more general description. This perspective not only deepens our understanding of LMT dynamics but also provides a powerful tool for optimizing experimental implementations. The theory is validated through detailed comparisons with numerical simulations and recent experimental results.