Rotating Resonator-Oscillator Experiments to Test Lorentz Invariance in Electrodynamics

In this work we outline the two most commonly used test theories (RMS and SME) for testing Local Lorentz Invariance (LLI) of the photon. Then we develop the general framework of applying these test theories to resonator experiments with an emphasis on rotating experiments in the laboratory. We compare the inherent sensitivity factors of common experiments and propose some new configurations. Finally we apply the test theories to the rotating cryogenic experiment at the University of Western Australia, which recently set new limits in both the RMS and SME frameworks [hep-ph/0506074].Comment: Submitted to Lecture Notes in Physics, 36 pages, minor modifications, updated list of reference

Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension

In this work, we focus on some properties of the parity-even sector of the CPT-even electrodynamics of the standard model extension. We analyze how the six non-birefringent terms belonging to this sector modify the static and stationary classical solutions of the usual Maxwell theory. We observe that the parity-even terms do not couple the electric and magnetic sectors (at least in the stationary regime). The Green's method is used to obtain solutions for the field strengths E and B at first order in the Lorentz- covariance-violating parameters. Explicit solutions are attained for point-like and spatially extended sources, for which a dipolar expansion is achieved. Finally, it is presented an Earth-based experiment that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as $(\widetilde{\kappa}_{e-}) ^{ij}<2.9\times10^{-20}.$Comment: 8 pages, revtex style, revised published version, to appear in EPJC (2009

Prospects for SME Tests with Experiments at SYRTE and LKB

International audiencePreliminary work has been done in order to assess the perspectives of metrology and fundamental physics atomic experiments at SYRTE and LKB in the search for physics beyond the Standard Model and General Relativity. The first studies we identified are currently ongoing with the Microscope mission and with a Cs fountain clock. The latter brings significant improvement on the proton-sector coefficient down to the 10−17 GeV level

Improved Tests of Lorentz Invariance in the Matter Sector Using Atomic Clocks

International audienceFor the purpose of searching for Lorentz-invariance violation in the minimal Standard-Model Extension, we perfom a reanalysis of data obtained from the 133Cs fountain clock operating at SYRTE. The previous study led to new limits on eight components of the μ v tensor, which quantifies the anisotropy of the proton’s kinetic energy. We recently derived an advanced model for the frequency shift of hyperfine Zeeman transition due to Lorentz violation and became able to constrain the ninth component, the isotropic coefficient, TT which is the least well-constrained coefficient of μ v. This model is based on a second-order boost Lorentz transformation from the laboratory frame to the Sun-centered frame, and it gives rise to an improvement of five orders of magnitude on TT and of one order of magnitude on Q compared to the state of the art

Lorentz and CPT Symmetry Breaking via Dispersion and Birefringence Effects of Gravitational Waves

International audiencePossible symmetry-breaking effects during gravitational-wave propagation are investigated using the Standard-Model Extension and the open-source LIGO algorithm library suite. We bridge the gap between the theory of spacetime-symmetry breaking and the analysis of gravitational-waves signals. We analyze directly the LIGO-Virgo-KAGRA interferometers’ strain, bypassing reliance on posterior parameters inferred under a GR model

Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized 133^{133}Cs cold atom clock

International audienceWe introduce an improved model that links the frequency shift of the Cs133 hyperfine Zeeman transitions |F=3,mF⟩↔|F=4,mF⟩ to the Lorentz-violating Standard Model extension (SME) coefficients of the proton and neutron. The new model uses Lorentz transformations developed to second order in boost and additionally takes the nuclear structure into account, beyond the simple Schmidt model used previously in Standard Model extension analyses, thereby providing access to both proton and neutron SME coefficients including the isotropic coefficient c˜TT. Using this new model in a second analysis of the data delivered by the FO2 dual Cs/Rb fountain at Paris Observatory and previously analyzed in [1], we improve by up to 13 orders of magnitude the present maximum sensitivities for laboratory tests [2] on the c˜Q, c˜TJ, and c˜TT coefficients for the neutron and on the c˜Q coefficient for the proton, reaching respectively 10-20, 10-17, 10-13, and 10-15  GeV

LOW-ENERGY TESTS OF LORENTZ SYMMETRY: NEW CONSTRAINTS WITH NUCLEONS IN A COLD ATOM CLOCK

International audienceWe report on a Lorentz invariance test with nucleons in a cold atom 133 Cs clockusing spin-polarized states. We analyze this test in the Standard ModelExtension framework, and improve by up to 13 orders of magnitude the constraintson some coefficients parametrizing Lorentz violations

Lorentz-Symmetry Test at Planck-Scale Suppression With a Spin-Polarized 133^{133}Cs Cold Atom Clock

International audienceWe present the results of a local Lorentz invariance (LLI) test performed with the Cs-133 cold atom clock FO2, hosted at SYRTE. Such a test, relating the frequency shift between Cs-133 hyperfine Zeeman substates with the Lorentz violating coefficients of the standard model extension (SME), has already been realized by Wolf et al. and led to state-of-the-art constraints on several SME proton coefficients. In this second analysis, we used an improved model, based on a second-order Lorentz transformation and a self-consistent relativistic mean field nuclear model, which enables us to extend the scope of the analysis from purely proton to both proton and neutron coefficients. We have also become sensitive to the isotropic coefficient (c) over tilde TT, another SME coefficient that was not constrained by Wolf et al. The resulting limits on SME coefficients improve by up to 13 orders of magnitude the present maximal sensitivities for laboratory tests and reach the generally expected suppression scales at which signatures of Lorentz violation could appear

Constraints on SME Coefficients from Lunar Laser Ranging, Very Long Baseline Interferometry, and Asteroid Orbital Dynamics

International audienceLorentz symmetry violations can be parametrized by an effective field theory framework that contains both General Relativity and the Standard Model of particle physics, called the Standard-Model Extension or SME. We consider in this work only the pure gravitational sector of the minimal SME. We present new constraints on the SME coefficients obtained from lunar laser ranging, very long baseline interferometry, and planetary motions