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How large superpositions and iterrogation times could be achieved in matterwave interferometry?

Quantum superposition

Quantum metrology

Atom interferometer

Coherence (philosophical gambling strategy)

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Matter-wave interferometry has made significant strides in achieving large superpositions and interrogation times. Recent experiments have demonstrated quantum interference of wave packets separated by up to 54 cm, showcasing the ability to probe quantum superpositions at macroscopic scales . Additionally, experiments with levitated ferromagnetic nanoparticles have shown the creation of mesoscopic spatial Schrodinger cats with a maximum spatial separation of 25 μm . These advancements highlight the potential for maintaining spatial superposition states for extended periods, with one study achieving coherence for as long as 70 seconds, enabling precise measurements in fundamental physics and inertial sensing . Such progress opens up possibilities for gravimetry measurements, searches for fifth forces, and exploring the non-classical nature of gravity.

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Open access•Journal Article•DOI Matter-wave interferometry with helium atoms in low-l Rydberg states J. D. R. Tommey, S. D. Hogan - Show less +1 more 03 Sep 2021-Physical Review A 4 Citations	Superpositions of $1s56s^{3}S_{1}$ and $1s57s^{3}S_{1}$ Rydberg states allowed for $\sim0.75$ nm displacement with varied time-dependent electric-field gradient pulses in matter-wave interferometry.
Journal Article•DOI Quantum superposition at the half-metre scale Tim Kovachy, Peter Asenbaum, Chris Overstreet, Christine A. Donnelly, Susannah Dickerson, Alex Sugarbaker, Jason M. Hogan, Mark A. Kasevich - Show less +7 more 24 Dec 2015-Nature 370 Citations	In matter-wave interferometry, quantum interference with wave packets separated by up to 54 cm on a timescale of 1 second was achieved, demonstrating macroscopic quantum superpositions.
Open access•Posted Content•DOI Minute-scale gravimetry using a coherent atomic spatial superposition 13 Oct 2022	In matterwave interferometry, superpositions lasting up to 70 seconds were achieved, surpassing typical limits of ~3 seconds, potentially enabling minute-scale gravimetry and fundamental physics investigations.
Open access•Posted Content Matter-wave interferometry using a levitated magnetic nanoparticle Anishur Rahman 24 Dec 2018-arXiv: Mesoscale and Nanoscale Physics	Using a $20~$nm FePt nanoparticle, matter-wave interferometry achieved a spatial separation of $25~\mu m$, surpassing the object's size, demonstrating mesoscopic spatial Schrodinger cat creation.
Minute-scale gravimetry using a coherent atomic spatial superposition Cristian Panda, Ma Tao, J. Egelhoff, Miguel Ceja, Victoria Xu, H. Mȕller - Show less +5 more 13 Oct 2022	Superpositions lasting up to 70 seconds were achieved in atom interferometry, surpassing the typical ~3-second limit, potentially enabling minute-scale gravimetry and fundamental physics investigations.

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