Strongly enhanced effects of Lorentz symmetry violation in entangled Yb+ ions

Abstract

Lorentz symmetry is one of the cornerstones of modern physics. However, a number of theories aiming at unifying gravity with the other fundamental interactions including string field theory suggest violation of Lorentz symmetry [1-4]. While the energy scale of such strongly Lorentz symmetry-violating physics is much higher than that currently attainable by particle accelerators, Lorentz violation may nevertheless be detectable via precision measurements at low energies [2]. Here, we carry out a systematic theoretical investigation of the sensitivity of a wide range of atomic systems to violation of local Lorentz invariance (LLI). Aim of these studies is to identify which atom shows the biggest promise to detect violation of Lorentz symmetry. We identify the Yb+ ion as an ideal system with high sensitivity as well as excellent experimental controllability. By applying quantum information inspired technology to Yb+, we expect tests of LLI violating physics in the electron-photon sector to reach levels of $10^{-23}$, five orders of magnitude more sensitive than the current best bounds [5-7]. Most importantly, the projected sensitivity of $10^{-23}$ for the Yb+ ion tests will allow for the first time to probe whether Lorentz violation is minimally suppressed at low energies for photons and electrons.

arXiv comment6 pages, 3 figures

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Lorentz-Violating Extension of the Standard Model
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• 'Designer atoms' for quantum metrology
• On Lorentz violation in Horava-Lifshitz type theories
• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Limits on Violations of Lorentz Symmetry and the Einstein Equivalence Principle using Radio-Frequency Spectroscopy of Atomic Dysprosium
• Precision spectroscopy with two correlated atoms
• Electric Quadrupole Moments of Metastable States of Ca+, Sr+, and Ba+

Cited by in corpus (2)

• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• An Optimized Ion Trap Geometry to Measure Quadrupole Shifts of ${}^{171}$Yb${}^{+}$ Clocks