Test of Einstein Equivalence Principle by frequency comparisons of optical clocks

Abstract

The Einstein Equivalence Principle (EEP) carries a pivotal role in understanding theory of gravity and spacetime. It guarantees the gravity to be understood as geometric phenomenon. Considering gravitational coupling of matter in the standard model extension, we propose a novel scheme using frequency measurements to limit the equivalence principle violations in normal matter. The proposal consists of the comparison of high-precision clocks, comoving with the freely falling frame. The experimental comparison of identical kind of clocks on Earth surface can be used to carry out the proposed test, which allows performing simultaneous tests of weak equivalence principle and gravitational redshift. From the existing experiments of Sr optical clocks, we present a simultaneous determination of Earth-dependent parameter ${\beta }_{\text{E}}$ and clock-dependent parameter ${\xi }_{\text{Sr}}$ at the level of $10^{-5}$, and in combination with the gravitational redshift experiments and lunar laser ranging, we also obtain a limit on standard model extension coefficients for Lorentz violation. This work provides another important fundamental physics application for the continuous-improvement accuracy of atomic or optical clocks.

arXiv comment11 pages, 5 figure, 3 tables

References in corpus (34)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Gravity, Lorentz Violation, and the Standard Model
• The String Dilaton and a Least Coupling Principle
• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Brane-World Gravity
• An atomic clock with $10^{-18}$ instability
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Torsion-balance tests of the weak equivalence principle
• Ultra-stable optical clock with two cold-atom ensembles
• The MICROSCOPE mission: first results of a space test of the Equivalence Principle
• Improved limit on a temporal variation of $m_p/m_e$ from comparisons of Yb${}^{+}$ and Cs atomic clocks
• Matter-gravity couplings and Lorentz violation
• Atom-interferometric test of the equivalence principle at the $10^{-12}$ level
• Optical clock comparison test of Lorentz symmetry
• Millimetre-Range Forces in Superstring Theories with Weak-Scale Compactification
• Test of Einstein Equivalence Principle for 0-spin and half-integer-spin atoms: Search for spin-gravity coupling effects
• Experimenting an optical second with strontium lattice clocks
• Test of special relativity using a fiber network of optical clocks
• A gravitational redshift test using eccentric Galileo satellites
• Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
• A strontium lattice clock with $3\times 10^{-17}$ inaccuracy and its frequency
• Improved tests of Local Position Invariance using 87Rb and 133Cs fountains
• Equivalence Principle and Gravitational Redshift
• Optical to microwave clock frequency ratios with a nearly continuous strontium optical lattice clock
• Equivalence Principle and Bound Kinetic Energy
• Two clock transitions in neutral Yb for the highest sensitivity to variations of the fine-structure constant
• Tests of local position invariance using continuously running atomic clocks
• New ideas for tests of Lorentz invariance with atomic systems
• Dark-Matter-Induced Weak Equivalence Principle Violation
• A low maintenance Sr optical lattice clock

Cited by in corpus (4)

• Searches for beyond-Riemann gravity
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• The influence of lunar tidal potential on clock frequencies at different positions on Earth