Precision measurement of atomic isotope shifts using a two-isotope entangled state

Abstract

Atomic isotope shifts (ISs) are the isotope-dependent energy differences in the atomic electron energy levels. These shifts serve an important role in atomic and nuclear physics, and particularly in the latter as signatures of nuclear structure. Recently ISs have been suggested as unique probes of beyond Standard Model (SM) physics, under the condition that they be determined significantly more precisely than current state of the art. In this work we present a simple and robust method for measuring ISs with ions in a Paul trap, by taking advantage of Hilbert subspaces that are insensitive to common-mode noise yet sensitive to the IS. Using this method we evaluate the IS of the $5S_{1/2}\leftrightarrow 4D_{5/2}$ transition in ${}^{86}{\text{Sr}}^{+}$ and ${}^{88}{\text{Sr}}^{+}$ with a $1.6\times 10^{-11}$ relative uncertainty to be 570,264,063.435(9) Hz. Furthermore, we detect a relative difference of $3.46(23)\times 10^{-8}$ between the orbital g-factors of the electrons in the $4D_{5/2}$ level of the two isotopes. Our method is relatively easy to implement and is indifferent to element or isotope, paving the way for future tabletop searches for new physics and posing interesting prospects for testing quantum many-body calculations and for the study of nuclear structure.

References in corpus (23)

• The Cosmological Constant and Dark Energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• Search for New Physics with Atoms and Molecules
• Varying constants, Gravitation and Cosmology
• The origin of the matter-antimatter asymmetry
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• 'Designer atoms' for quantum metrology
• Nuclear Charge Radius of Li-9, Li-11: Halo Neutron: the influence of Halo Neutrons
• Nuclear charge radius of ${}^8$He
• Seconds-scale coherence in a tweezer-array optical clock
• Imaging optical frequencies with 100 $\mu$Hz precision and 1.1 $\mu$m resolution
• Probing new light force-mediators by isotope shift spectroscopy
• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Constraining New Physics Models with Isotope Shift Spectroscopy
• Precision isotope shift measurements in Ca${}^{+}$ using highly sensitive detection schemes
• Measurement of the magnetic interaction between two electrons
• Isotope shift calculations for atoms with one valence electron
• Quantum coherence between two atoms beyond Q=10^15
• Part-per-billion measurement of the $4^2{S}_{1/2}\to 3^2{D}_{5/2}$ electric quadrupole transition isotope shifts between ${}^{42,44,48}$Ca${}^{+}$ and ${}^{40}$Ca${}^{+}$
• Precise determination of the isotope shift of ${}^{88}$Sr - ${}^{87}$Sr optical lattice clock by sharing perturbations
• Precision frequency measurements with entangled states
• Phase stability transfer across the optical domain using a commercial optical frequency comb system

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• 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${}^{+}$
• Generalized King linearity and new physics searches with isotope shifts
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• Precision determination of isotope shifts in ytterbium and implications for new physics
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• Lifetime-Limited Interrogation of Two Independent ${}^{27}{\text{Al}}^{+}$ Clocks Using Correlation Spectroscopy
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• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Mass-difference measurements on heavy nuclides with at an eV/c2 accuracy level with PENTATRAP
• Coherent excitation of the highly forbidden electric octupole transition in ${}^{172}$Yb${}^{+}$
• Continuous protection of a collective state from inhomogeneous dephasing
• Isotope Shifts in Cadmium as a Sensitive Probe for Physics Beyond the Standard Model
• Nonlinearities of King's plot and their dependence on nuclear radii
• From megahertz to terahertz qubits encoded in molecular ions: theoretical analysis of dipole-forbidden spectroscopic transitions in N${}_2^{+}$
• Production of highly charged ions of rare species by laser-induced desorption inside an electron beam ion trap
• Nuclear polarization effects in atoms and ions
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• Prospects of nuclear-coupled-dark-matter detection via correlation spectroscopy of I${}_2^{+}$ and Ca${}^{+}$
• High-precision mass measurement of ${}^{168}$Yb for verification of nonlinear isotope shift
• Demonstration of chronometric leveling using transportable optical clocks beyond laser coherence limit
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Relativistic corrections to the thermal interaction of bound particles
• Robust and scalable rf spectroscopy in first-order magnetic sensitive states at second-long coherence time
• Programmable quantum simulations on a trapped-ions quantum simulator with a global drive
• Cold highly charged ions in a radio-frequency trap with superconducting magnetic shielding
• The dual King relation
• Absolute frequency measurements on the $5s5p^3$P${}_0\to 5s6d^3$D${}_1$ transition in strontium
• Nd${}^{+}$ isotope shift measurements in a cryogenically-cooled neutral plasma
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson