Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments

Abstract

Lorentz symmetry is a cornerstone of both the General relativity and Standard Model and its experimental verification deepens our understanding of nature. This paper focuses on the investigation of Lorentz violations with the context of clock comparison experiments in the framework of Standard Model Extension (SME). Considering matter-gravity coupling sector, we provide a generic frame to study the sensitivities of Lorentz-violating coefficients for three distinct types of clock redshift tests, including the traditional gravitational redshift test, null-redshift test I and null-redshift test II. Each of these tests is sensitivity to different combinations of Lorentz-violating coefficients. By using the current clock comparison results, we estimate the limits of SME coefficients at level of parts in $10^4$ down to parts in $10^7$. Better sensitivity may be achieved in the clock comparisons by using the state-of-the-art optical clocks. Additionally considering relativistic factors in null-redshift I, the frequency comparison result of E2 and E3 transitions of Yb${}^{+}$ can set the limit $c_{00}^e=(7.4\pm 9.3)\times 10^{-9}$ in the electron sector. Our analysis demonstrates that clock-comparison redshift experiments may contribute to explore the vast parameters space on searching for the Lorentz violation.

14 pages, 3 figures

References in corpus (79)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Modern tests of Lorentz invariance
• CPT, Strings, and Meson Factories
• Ultraviolet modifications of dispersion relations in effective field theory
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• 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 Interferometry tests of the isotropy of post-Newtonian gravity
• Modern Michelson-Morley experiment using cryogenic optical resonators
• New limit on Lorentz and CPT-violating neutron spin interactions
• Optical clock comparison test of Lorentz symmetry
• Experimenting an optical second with strontium lattice clocks
• Test of special relativity using a fiber network of optical clocks
• What Do We Know About Lorentz Invariance?
• A gravitational redshift test using eccentric Galileo satellites
• Improved limits for violations of local position invariance from atomic clock comparisons
• Lorentz and CPT tests with spin-polarized solids
• Frequency ratio of the ${}^{229\mathrm{m}}$Th nuclear isomeric transition and the ${}^{87}$Sr atomic clock
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• A New Limit on Signals of Lorentz Violation in Electrodynamics
• Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
• A strontium lattice clock with $3\times 10^{-17}$ inaccuracy and its frequency
• Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Bound on Lorentz- and CPT-Violating Boost Effects for the Neutron
• CPT, T, and Lorentz Violation in Neutral-Meson Oscillations
• Improved tests of Local Position Invariance using 87Rb and 133Cs fountains
• Equivalence Principle and Gravitational Redshift
• Improved limits on the coupling of ultralight bosonic dark matter to photons from optical atomic clock comparisons
• An Optical Atomic Clock Based on a Highly Charged Ion
• Short-range gravity and Lorentz violation
• 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
• Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance
• Optical cavity tests of Lorentz invariance for the electron
• Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
• Optical to microwave clock frequency ratios with a nearly continuous strontium optical lattice clock
• Equivalence Principle and Bound Kinetic Energy
• Test of Lorentz invariance with spin precession of ultracold neutrons
• New methods of testing Lorentz violation in electrodynamics
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Testing Lorentz symmetry with Lunar Laser Ranging
• Search for Lorentz violation in short-range gravity
• Tests of local position invariance using continuously running atomic clocks
• Long term measurement of the ${}^{87}$Sr clock frequency at the limit of primary Cs clocks
• Superconducting-Gravimeter Tests of Local Lorentz Invariance
• Unitarity in higher-order Lorentz-invariance violating QED
• Effects of the Lorentz invariance violation in Coulomb interaction in nuclei and atoms
• Lorentz Symmetry Violations from Matter-Gravity Couplings with Lunar Laser Ranging
• New ideas for tests of Lorentz invariance with atomic systems
• Lorentz and CPT Tests with Clock-Comparison Experiments
• Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector
• Lorentz Invariance Breakdown and Constraints from Big-Bang Nucleosynthesis
• Testing local Lorentz invariance with short-range gravity
• Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
• Tests of Lorentz invariance using hydrogen molecules
• Gravitational redshift test with the future ACES mission
• Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized ${}^{133}$Cs cold atom clock
• Limits on Lorentz violation in gravity from worldwide superconducting gravimeters
• Combined Search for a Lorentz-Violating Force in Short-Range Gravity Varying as the Inverse Sixth Power of Distance
• Improved Test of Local Lorentz Invariance from a Deterministic Preparation of Entangled States
• Lifetime of the ${}^2{F}_{7/2}$ level in Yb${}^{+}$ for spontaneous emission of electric octupole radiation
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• A low maintenance Sr optical lattice clock
• Disentangling Forms of Lorentz Violation With Complementary Clock Comparison Experiments
• Evaluation of a ${}^{88}$Sr${}^{+}$ optical clock with a direct measurement of the blackbody radiation shift and determination of the clock frequency
• Limits on gravitational Einstein Equivalence Principle violation from monitoring atomic clock frequencies during a year
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Ultralight Dark Matter Search with Space-Time Separated Atomic Clocks and Cavities
• Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
• Absolute frequency measurement of a Yb optical clock at the limit of the Cs fountain
• Lunar Time in General Relativity
• Test of Einstein Equivalence Principle by frequency comparisons of optical clocks
• Preliminary Sensitivity Study for a Gravitational Redshift Measurement with China's Lunar Exploration Project