Precision measurement of the ionization energy of a single trapped $^{40}$Ca$^+$ ion by Rydberg series excitation

• URL: http://arxiv.org/abs/2009.01070v1
• Date: Wed, 2 Sep 2020 13:47:48 GMT
• Title: Precision measurement of the ionization energy of a single trapped $^{40}$Ca$^+$ ion by Rydberg series excitation
• Authors: Justas Andrijauskas, Jonas Vogel, Arezoo Mokhberi and Ferdinand Schmidt-Kaler
• Abstract summary: We carried out Rydberg series spectroscopy for $nS_1/2$ states with $38 leq n leq 65$ and for $nD_5/2$ states with $37leq n leq 50$ on a single trapped $40$Ca$+$ ion. From a nonlinear regression to resonance, we determined the ionization energy of 2 870 575.582 GHz, measured 60 times more accurately as compared to the accepted value and contradicting it by 7.5 standard deviations.
• Score: 25.488181126364186
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A complete set of spectroscopic data is indispensable when using Rydberg states of trapped ions for quantum information processing. We carried out Rydberg series spectroscopy for $nS_{1/2}$ states with $38 \leq n \leq 65$ and for $nD_{5/2}$ states with $37\leq n \leq 50$ on a single trapped $^{40}$Ca$^+$ ion. From a nonlinear regression to resonance frequencies, we determined the ionization energy of 2 870 575.582(15) GHz, measured 60 times more accurately as compared to the accepted value and contradicting it by 7.5 standard deviations. We confirm quantum defect values of $\delta_{S_{1/2}}=1.802995(5)$ and $\delta_{D_{5/2}}=0.626888(9)$ for $nS_{1/2}$ and $nD_{5/2}$ states respectively, which allow for unambiguous addressing of Rydberg levels of Ca$^+$ ions.

Related papers

• Aggregate Frequency Width, Nuclear Hyperfine Coupling and Jahn-Teller Effect of $Cu^{2+}$ Impurity Ion ESR in $SrLaAlO_4$ Dielectric Resonator at $20$ Millikelvin [0.0]
  impurity paramagnetic ion, $Cu2+$ substitutes $Al$ in the $SrLaAlO_4$ single crystal lattice. The anisotropy of the hyperfine structure reveals a characteristics of static Jahn-Teller effect.
  arXiv  Detail & Related papers  (2024-03-24T22:40:36Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [49.1574468325115]
  The potential energy curve for the whole range of internuclear $R$ is found for the whole range of the Cr$vibration$$ dimer. This has the form of a two-point Pade approximant and provides an accuracy of 3-4 decimal digits in 29 experimental vibrational energies.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• Rydberg ions in coherent motional states: A new method for determining the polarizability of Rydberg ions [71.05995184390709]
  We present a method for measuring the polarizability of Rydberg ions confined in a Paul trap. The method is easy-to-implement and applicable to different Rydberg states regardless of their principal or angular quantum numbers.
  arXiv  Detail & Related papers  (2022-08-23T17:56:50Z)
• From quartic anharmonic oscillator to double well potential [77.34726150561087]
  It is shown that by taking uniformly-accurate approximation for anharmonic oscillator eigenfunction $Psi_ao(u)$, obtained recently, it is possible to get highly accurate approximation for both the eigenfunctions of the double-well potential and its eigenvalues.
  arXiv  Detail & Related papers  (2021-10-30T20:16:27Z)
• 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)
• Spectroscopy of Rydberg States in Erbium using Electromagnetically Induced Transparency [0.0]
  We identify Rydberg states in five different isotopes, and states between the two lowest ionization thresholds. Our results open the way for future applications of Rydberg states for quantum simulation using erbium.
  arXiv  Detail & Related papers  (2021-05-03T10:32:58Z)
• Trapping, Shaping and Isolating of Ion Coulomb Crystals via State-selective Optical Potentials [55.41644538483948]
  In conventional ion traps, the trapping potential is close to independent of the electronic state, providing confinement for ions dependent on their charge-to-mass ratio $Q/m$. Here we experimentally study optical dipole potentials for $138mathrmBa+$ ions stored within two distinctive traps operating at 532 nm and 1064 nm.
  arXiv  Detail & Related papers  (2020-10-26T14:36:48Z)
• Rydberg spectrum of a single trapped Ca$^+$ ion: A Floquet analysis [0.0]
  We compute the Rydberg spectrum of a single Ca$+$ ion in a Paul trap by incorporating various internal and external coupling terms of the ion to the trap in the Hamiltonian. The electronic Rydberg states are precisely described by a one-electron model potential for e$-$+Ca$2+$.
  arXiv  Detail & Related papers  (2020-05-27T21:17:30Z)
• Improved isotope-shift-based bounds on bosons beyond the Standard Model through measurements of the $^2$D$_{3/2} - ^2$D$_{5/2}$ interval in Ca$^+$ [0.0]
  We perform high-resolution spectroscopy of the $3$d$2$D$_3/2 - 3$d$2$D$_5/2$ interval in all stable even isotopes of $A$Ca$+$. We carry out a King plot analysis with unprecedented sensitivity to coupling between electrons and neutrons by bosons beyond the Standard Model.
  arXiv  Detail & Related papers  (2020-05-01T17:57:21Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.