Coupling ultracold atoms to mechanical oscillators
David Hunger, Stephan Camerer, Maria Korppi, Andreas J\"ockel, Theodor, W. H\"ansch, Philipp Treutlein

TL;DR
This paper reviews various methods to connect ultracold atoms with mechanical oscillators, highlighting challenges and promising strategies for enhancing coupling, including collective effects and cavity-based schemes, supported by theoretical and experimental insights.
Contribution
It compares different coupling schemes between ultracold atoms and mechanical oscillators, emphasizing the potential for enhanced interaction through collective and cavity-based methods.
Findings
Mass difference limits direct coupling strength
Collective atomic effects can enhance coupling
Cavity-based schemes show promising results
Abstract
In this article we discuss and compare different ways to engineer an interface between ultracold atoms and micro- and nanomechanical oscillators. We start by analyzing a direct mechanical coupling of a single atom or ion to a mechanical oscillator and show that the very different masses of the two systems place a limit on the achievable coupling constant in this scheme. We then discuss several promising strategies for enhancing the coupling: collective enhancement by using a large number of atoms in an optical lattice in free space, coupling schemes based on high-finesse optical cavities, and coupling to atomic internal states. Throughout the manuscript we discuss both theoretical proposals and first experimental implementations.
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