Atom-interferometric test of the equivalence principle at the $10^{-12}$
level
- URL: http://arxiv.org/abs/2005.11624v2
- Date: Wed, 12 Aug 2020 23:59:30 GMT
- Title: Atom-interferometric test of the equivalence principle at the $10^{-12}$
level
- Authors: Peter Asenbaum, Chris Overstreet, Minjeong Kim, Joseph Curti, Mark A.
Kasevich
- Abstract summary: We measure the relative acceleration between $85$Rb and $87$Rb wave packets in the Earth's gravitational field.
We find an E"otv"os parameter of $eta = [1.6; pm; 1.8; text(stat); pm ; 3.4 ; text(sys)] times 10-12$, consistent with zero violation of the equivalence principle.
- Score: 1.59594089941013
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Does gravity influence local measurements? We use a dual-species atom
interferometer with $2\,\text{s}$ of free-fall time to measure the relative
acceleration between $^{85}$Rb and $^{87}$Rb wave packets in the Earth's
gravitational field. Systematic errors arising from kinematic differences
between the isotopes are suppressed by calibrating the angles and frequencies
of the interferometry beams. We find an E\"otv\"os parameter of $\eta = [1.6\;
\pm\; 1.8\; \text{(stat)}\; \pm \; 3.4 \; \text{(sys)}] \times 10^{-12}$,
consistent with zero violation of the equivalence principle. With a resolution
of up to $1.4 \times 10^{-11} \, g$ per shot, we demonstrate a sensitivity to
$\eta$ of $5.4 \times 10^{-11}\,/\sqrt{\text{Hz}}$.
Related papers
- Analytical Correlation in the H$_{2}$ Molecule from the Independent Atom Ansatz [49.1574468325115]
The total energy functional correctly dissociates the H-H bond and yields absolute errors of 0.002 $rA$, 0.19 eV, and 13 cm-1$ relative to experiment at the tight binding computational cost.
The chemical bond formation is attributed to the Heitler-London resonance of quasi-orthogonal atomic states with no contributions from kinetic energy or charge accumulation in the bond.
arXiv Detail & Related papers (2024-05-20T21:21:42Z) - An $^{115}$In$^+$-$^{172}$Yb$^+$ Coulomb crystal clock with $2.5\times10^{-18}$ systematic uncertainty [0.1715290206208946]
We present a scalable mixed-species Coulomb crystal clock based on the transition in $115$In$+$.
We demonstrate operation with four $115$In$+$ clock ions, which reduces the instability to $9.2times10-16/sqrttau/1;mathrms$.
arXiv Detail & Related papers (2024-02-26T18:29:12Z) - On the $O(\frac{\sqrt{d}}{T^{1/4}})$ Convergence Rate of RMSProp and Its Momentum Extension Measured by $\ell_1$ Norm [59.65871549878937]
This paper considers the RMSProp and its momentum extension and establishes the convergence rate of $frac1Tsum_k=1T.
Our convergence rate matches the lower bound with respect to all the coefficients except the dimension $d$.
Our convergence rate can be considered to be analogous to the $frac1Tsum_k=1T.
arXiv Detail & Related papers (2024-02-01T07:21:32Z) - Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed.
Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
arXiv Detail & Related papers (2023-09-21T18:11:04Z) - Developing a simulation tool to investigate a novel trapped two-state
Bose-Einstein condensate Ramsey interferometer driven by dipole oscillations
and gravitational sag [0.0]
We propose and explore the feasibility of a novel Ramsey interferometer created by a trapped two-state Bose-Einstein condensate (BEC)
The BEC is formed in a pure cigar shaped compressed magnetic trap (CMT) via a dilute atom cloud of $87Rb$ atoms in state $vert F=2.
arXiv Detail & Related papers (2023-08-27T11:53:53Z) - Temperature Sensitivity of $^{14}\mathrm{NV}$ and $^{15}\mathrm{NV}$
Ground State Manifolds [0.0]
We measure electron and nuclear spin transition frequencies in the ground state of nitrogen-vacancy centers in diamond for two nitrogen isotopes.
Temperature dependences of the nuclear-spin transitions within the $m_s = 0$ spin manifold near room temperature are found to be +0.52(1) ppm/K for $14mathrmNV$ and -1.1(1) ppm/K for $15mathrmNV$.
arXiv Detail & Related papers (2022-12-23T06:44:15Z) - Testing the Universality of Free Fall using correlated $^{39}$K --
$^{87}$Rb interferometers [0.0]
We demonstrate how simultaneously-operated $39$K -- $87$Rb interferometers exhibiting a high level of correlation can be used to make competitive tests of the university of free fall.
Main limitations to our measurement arise from a combination of wavefront aberrations, the quadratic Zeeman effect in $39$K, parasitic interferometers in $87$Rb, and the velocity sensitivity of our detection system.
arXiv Detail & Related papers (2021-10-25T21:13:47Z) - Power-like potentials: from the Bohr-Sommerfeld energies to exact ones [77.34726150561087]
Bohr-Sommerfeld Energies (BSE) extracted explicitly from the Bohr-Sommerfeld quantization condition are compared with the exact energies.
For physically important cases $m=1,4,6$ for the $100$th excited state BSE coincide with exact ones in 5-6 figures.
arXiv Detail & Related papers (2021-07-31T21:37:50Z) - Precision measurement of the $^{43}$Ca$^{+}$ nuclear magnetic moment [0.0]
We report precision measurements of the nuclear magnetic moment of textsuperscript43Catextsuperscript+.
The measurement is not corrected for diamagnetic shielding due to the bound electrons.
We use our $mu_I$ value in combination with previous results, to extract the change in shielding constant of calcium ions due to solvation in D$$O: $Delta sigma = -0.00022(1)$.
arXiv Detail & Related papers (2021-05-21T13:44:01Z) - Provable Robustness of Adversarial Training for Learning Halfspaces with
Noise [95.84614821570283]
We analyze the properties of adversarial learning adversarially robust halfspaces in the presence of label noise.
To the best of our knowledge, this is the first work to show that adversarial training prov yields classifiers in noise.
arXiv Detail & Related papers (2021-04-19T16:35:38Z) - Anharmonic oscillator: a solution [77.34726150561087]
The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$.
A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
arXiv Detail & Related papers (2020-11-29T22:13:08Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.