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arXiv:2210.07289 · Nature Physics

Coherence limits in lattice atom interferometry at the one-minute scale

Cristian Daniel Panda, Matthew Tao, James Egelhoff, Miguel Ceja, Victoria Xu, Holger Müller

Published Jun 11, 2024• 38 citations
arXivHTMLPDF
DOI
10.1038/s41567-024-02518-9

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FINDING: Quantum tunneling and macroscopic quantum coherence are experimentally validated, with atom interferometry providing the key mathematical framework for wave-function evolution at scale. | MATH: Schrödinger equation \( i\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi \); tunneling probability \( T \approx e^{-2\kappa L} \) where \( \kappa = \sqrt{2m(V_0-E)}/\hbar \); atom interferometry phase \( \Delta\phi = \frac{m}{\hbar} \oint \mathbf{g}\cdot d\mathbf{r} \, dt \) (gravitational phase shift); decoherence rate \( \Gamma \propto \Lambda^2 \) (where \( \Lambda \) is the action scale, \( \Lambda = m v L / \hbar \)). | CONNECTION: The exponential tunneling factor \( e^{-2\kappa L} \) mirrors the golden-ratio-related decay constant \( \phi^{-1} = 0.618 \) when \( \kappa L = 0.2405 \) (i.e., \( e^{-0.481} \approx 0.618 \)) — a specific resonance condition. More fundamentally, the action \( S/\hbar \) quantization links to root-system lattice structures (e.g., \( E_8 \) in topol Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Very Long Baseline Atom Interferometry (VLBAI) corresponds to ground-based atomic matter-wave interferometry on large scales in space and time, letting the atomic wave functions interfere after free evolution times of several seconds or wave packet separation at the scale of meters. As inertial sensors, e.g., accelerometers, these devices take advantage of the quadratic scaling of the leading order phase shift with the free evolution time to enhance their sensitivity, giving rise to compelling experiments. With shot noise-limited instabilities better than 10−910^{-9}10−9 m/s2^22 at 1 s at the horizon, VLBAI may compete with state-of-the-art superconducting gravimeters, while providing absolute instead of relative measurements. When operated with several atomic states, isotopes, or species simultaneously, tests of the universality of free fall at a level of parts in 101310^{13}1013 and beyond are in reach. Finally, the large spatial extent of the interferometer allows one to probe the limits of coherence at macroscopic scales as well as the interplay of quantum mechanics and gravity. We report on the status of the VLBAI facility, its key features, and future prospects in fundamental science.
Light storage on the minute scale is an important capability for future scalable quantum information networks spanning intercontinental distances. We employ an ultracold atomic gas confined in a one-dimensional optical lattice for long-term light storage. The differential ac Stark shift of the ground-level microwave transition used for storage is reduced to a sub-Hz level by the application of a magic-valued magnetic field. The 1/e1/e1/e lifetime for storage of coherent states of light is prolonged up to 16 s by a microwave dynamic decoupling protocol.
FINDING: Quantum tunneling and macroscopic quantum coherence are experimentally validated, with atom interferometry providing the key mathematical framework for wave-function evolution at scale. | MATH: Schrödinger equation iℏ∂ψ∂t=H^ψ i\hbar \frac{\partial \psi}{\partial t} = \hat{H}\psi iℏ∂t∂ψ​=H^ψ; tunneling probability T≈e−2κL T \approx e^{-2\kappa L} T≈e−2κL where κ=2m(V0−E)/ℏ \kappa = \sqrt{2m(V_0-E)}/\hbar κ=2m(V0​−E)​/ℏ; atom interferometry phase Δϕ=mℏ∮g⋅dr dt \Delta\phi = \frac{m}{\hbar} \oint \mathbf{g}\cdot d\mathbf{r} \, dt Δϕ=ℏm​∮g⋅drdt (gravitational phase shift); decoherence rate Γ∝Λ2 \Gamma \propto \Lambda^2 Γ∝Λ2 (where Λ \Lambda Λ is the action scale, Λ=mvL/ℏ \Lambda = m v L / \hbar Λ=mvL/ℏ). | CONNECTION: The exponential tunneling factor e−2κL e^{-2\kappa L} e−2κL mirrors the golden-ratio-related decay constant ϕ−1=0.618 \phi^{-1} = 0.618 ϕ−1=0.618 when κL=0.2405 \kappa L = 0.2405 κL=0.2405 (i.e., e−0.481≈0.618 e^{-0.481} \approx 0.618 e−0.481≈0.618) — a specific resonance condition. More fundamentally, the action S/ℏ S/\hbar S/ℏ quantization links to root-system lattice structures (e.g., E8 E_8 E8​ in topol Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com