Related papers: Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy

Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy

URL: http://arxiv.org/abs/2403.14021v1
Date: Wed, 20 Mar 2024 22:43:29 GMT
Title: Prospects for the determination of fundamental constants with beyond-state-of-the-art uncertainty using molecular hydrogen ion spectroscopy
Authors: Stephan Schiller, Jean-Philippe Karr,
Abstract summary: We analyze how the accuracy of mass ratios may be improved by providing experimental transition frequencies between levels with larger quantum numbers. For the Rydberg constant and the charge radii, improvements by factors of 4 to 11 are projected.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: The proton, deuteron and triton masses can be determined relative to the electron mass via rovibrational spectroscopy of molecular hydrogen ions. This has to occur via comparison of the experimentally measured transition frequencies and the ab initio calculated frequencies, whose dependence on the mass ratios can be calculated precisely. In precision experiments to date (on HD$^+$ and H$_2^+$), the transitions have involved the ground vibrational level $v=0$ and excited vibrational levels with quantum numbers up to $v'=9$. For these transitions, the sensitivity of the ab initio frequency on the high-order-QED contributions is correlated with that on the mass ratios. This prevents an efficient simultaneous determination of these quantities from experimental data, so that the accuracy of the mass ratios is essentially limited by the theoretical uncertainty. Here we analyze how the accuracy of mass ratios may be improved by providing experimental transition frequencies between levels with larger quantum numbers, whose sensitivity on the mass ratio is positive rather than negative, or close to zero. This allows the unknown QED contributions and involved fundamental constants to be much more efficiently determined from a joint analysis of several measurements. We also consider scenarios where transitions of D$_2^+$ are included. We find these to be powerful approaches, allowing in principle to reach uncertainties for the mass ratios two orders smaller than CODATA 2018, and without using muonic hydrogen data. For the Rydberg constant and the charge radii, improvements by factors of 4 to 11 are projected.

Related papers

Feynman Diagrams for Matter Wave Interferometry [0.0]
We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. We apply the method to compute the response of matter wave interferometers to power law potentials and potentials with an arbitrary spatial dependence.
arXiv Detail & Related papers (2024-07-16T07:26:19Z)
Quantum Control of Atom-Ion Charge Exchange via Light-induced Conical Intersections [66.33913750180542]
Conical intersections are crossing points or lines between two or more adiabatic electronic potential energy surfaces. We predict significant or measurable non-adiabatic effects in an ultracold atom-ion charge-exchange reaction. In the laser frequency window, where conical interactions are present, the difference in rate coefficients can be as large as $10-9$ cm$3$/s.
arXiv Detail & Related papers (2023-04-15T14:43:21Z)
Rotational dynamics induced by low energy binary collisions of quantum droplets [0.0]
We focus on quantum droplets formed by dilute Bose gases made up from binary mixtures of alkaline atoms. The stability of the ground state is known to be longer for the chosen heteronuclear gases than for the homonuclear ones.
arXiv Detail & Related papers (2023-04-06T21:21:41Z)
Solution of the two-center Dirac equation with 20 digits precision using the finite-element technique [0.0]
We present a precise fully relativistic numerical solution of the two-center Coulomb problem. The computed total energies have estimated fractional uncertainties of a few times $10-20$ for unit charges and a bond length of 2 atomic units. The result is relevant for future precision experiments, whereas at present the uncertainties arising from the quantum electrodynamic treatment of the rovibrational transition frequencies are dominant.
arXiv Detail & Related papers (2022-04-14T16:28:47Z)
Dynamics of Transmon Ionization [94.70553167084388]
We numerically explore the dynamics of a driven transmon-resonator system under strong and nearly resonant measurement drives. We find clear signatures of transmon ionization where the qubit escapes out of its cosine potential.
arXiv Detail & Related papers (2022-03-21T18:00:15Z)
Excitation spectra of two correlated electrons in a quantum dot [0.0]
Experimentally, excited states are found beyond the well-known lowest singlet- and triplet states. These states can be reproduced in an exact diagonalization calculation of a parabolic dot with moderate in-plane anisotropy.
arXiv Detail & Related papers (2021-12-28T18:20:29Z)
Measurements of blackbody radiation-induced transition rates between high-lying S, P and D Rydberg levels [47.187609203210705]
We report experimental measurements of the rates of blackbody radiation-induced transitions between high-lying (n>60) S, P and D Rydberg levels of rubidium atoms in a magneto-optical trap. Our results reveal significant deviations of the measured transition rates from theory for well-defined ranges of the principal quantum number. We conclude that it should be possible to use such external cavities to control and suppress the blackbody radiation-induced transitions.
arXiv Detail & Related papers (2021-11-30T12:22:32Z)
Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
arXiv Detail & Related papers (2021-08-07T09:29:23Z)
Towards an independent determination of muon g-2 from muonium spectroscopy [0.0]
We show that muonium spectroscopy can reach a precision high enough to determine the anomalous magnetic moment of the muon below one part per million (ppm) This determination of muon g-2 would shed light on the 2ppm difference currently observed between spin-precession measurements and (R-ratio based) Standard Model predictions.
arXiv Detail & Related papers (2021-06-22T18:13:56Z)
$\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
arXiv Detail & Related papers (2020-12-15T17:08:33Z)
A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond [55.58269472099399]
Deep defects in wide band gap semiconductors have emerged as leading qubit candidates for realizing quantum sensing and information applications. Here we show that unlike single-particle treatments, the multiconfigurational quantum chemistry methods, traditionally reserved for atoms/molecules, accurately describe the many-body characteristics of the electronic states of these defect centers.
arXiv Detail & Related papers (2020-08-24T01:49:54Z)

This list is automatically generated from the titles and abstracts of the papers in this site.