Hyperfine rovibrational states of H$_3^+$ in a weak external magnetic field

• URL: http://arxiv.org/abs/2410.19963v1
• Date: Fri, 25 Oct 2024 20:47:29 GMT
• Title: Hyperfine rovibrational states of H$_3^+$ in a weak external magnetic field
• Authors: Gustavo Avila, Ayaki Sunaga, Stanislav Komorovsky, Edit Matyus,
• Abstract summary: Rovibrational energies, wave functions, and Raman transition moments are reported for the lowest-energy states of the H$_3+$ molecular ion. The developed methodology can be used to compute hyperfine-Zeeman effects also for higher-energy rovibrational excitations of H$_3+$ and other polyatomic molecules.
• Score: 0.0
• License:
• Abstract: Rovibrational energies, wave functions, and Raman transition moments are reported for the lowest-energy states of the H$_3^+$ molecular ion including the magnetic couplings of the proton spins and molecular rotation in the presence of a weak external magnetic field. The rovibrational-hyperfine-Zeeman Hamiltonian matrix is constructed and diagonalized using the rovibrational eigenstates and the proton spin functions. The developed methodology can be used to compute hyperfine-Zeeman effects also for higher-energy rovibrational excitations of H$_3^+$ and other polyatomic molecules. These developments will guide future experiments extending quantum logic spectroscopy to polyatomic systems.

Related papers

• Entanglement, Spin Squeezing and Quantum Sensing in a Spin-5/2 Heisenberg Molecular Iron(III) Triangle [0.0]
  This study provides insights into the static and dynamic quantum properties of the trinuclear high-spin iron(III) molecular complex Fe$_3$. The bipartite negativity reveals that the pairwise entanglement between any pair of iron(III) magnetic ions of the molecular complex Fe$_3$ can be significantly enhanced by a small magnetic field. A qualitatively similar behavior is also observed in the genuine tripartite entanglement among all three iron(III) magnetic ions in the trinuclear complex Fe$_3$.
  arXiv  Detail & Related papers  (2024-09-20T12:43:51Z)
• Investigating Some Diatomic Molecules Bounded by Two-Dimensional Isotropic Oscillator Plus Inverse Quadratic Potential in an External Magnetic field [0.0]
  We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables and diamagnetic susceptibility for some diatomic molecules. The computed energy spectra, expectation values and diamagnetic susceptibility X were found to be more influenced by the external magnetic field strength.
  arXiv  Detail & Related papers  (2022-07-11T16:50:53Z)
• High-resolution 'magic'-field spectroscopy on trapped polyatomic molecules [62.997667081978825]
  Rapid progress in cooling and trapping of molecules has enabled first experiments on high resolution spectroscopy of trapped diatomic molecules. Extending this work to polyatomic molecules provides unique opportunities due to more complex geometries and additional internal degrees of freedom.
  arXiv  Detail & Related papers  (2021-10-21T15:46:17Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla [50.002949299918136]
  We show that [VO(TPP)] (vanadyl tetraphenylporphyrinate) is a promising system suitable to implement quantum computation algorithms. It embeds an electronic spin 1/2 coupled through hyperfine interaction to a nuclear spin 7/2, both characterized by remarkable coherence.
  arXiv  Detail & Related papers  (2021-03-15T21:38:41Z)
• $\mathcal{P}$,$\mathcal{T}$-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)
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap [0.0]
  We investigate the magnetic properties and nonequilibrium dynamics of two interacting ultracold polar and paramagnetic molecules in a harmonic trap in external electric and magnetic fields. The molecules interact via a multichannel two-body contact potential, incorporating the short-range anisotropy of intermolecular interactions.
  arXiv  Detail & Related papers  (2020-10-22T17:35:46Z)
• Energy spectra and thermal properties of diatomic molecules in the presence of magnetic and AB fields with improved Kratzer potential [0.0]
  The improved screened Kratzer potential (ISKP) is investigated in the presence of external magnetic and Aharanov-Bohm (AB) fields. The effects of the control potential parameter on the thermodynamic and magnetic properties of the selected diatomic molecules are discussed.
  arXiv  Detail & Related papers  (2020-09-19T20:36:53Z)
• Quantum coherent spin-electric control in a molecular nanomagnet at clock transitions [57.50861918173065]
  Electrical control of spins at the nanoscale offers architectural advantages in spintronics. Recent demonstrations of electric-field (E-field) sensitivities in molecular spin materials are tantalising. E-field sensitivities reported so far are rather weak, prompting the question of how to design molecules with stronger spin-electric couplings.
  arXiv  Detail & Related papers  (2020-05-03T09:27:31Z)
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_2$ molecules [77.57930329012771]
  Nuclear spin levels play an important role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for $161$Dy and $163$Dy nucleus in anionic DyPc$.
  arXiv  Detail & Related papers  (2020-02-12T18:25:31Z)

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.