Testing Lorentz invariance using an odd-parity asymmetric optical resonator

Baynes, Fred N.; Luiten, André; Tobar, Michael E.

doi:10.1103/physrevd.84.081101

Cited by 15 publications

(25 citation statements)

References 29 publications

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“…In the photon sector of the minimal SME we find a constraint for the isotropy parameter of |κ tr | ≤ 2×10 −8 . This is a factor of 20 short of the best direct test [37]. Other model-dependent constraints of these model parameters come from various experiments on high-energy cosmic rays [38] (10 −20 level), relativis-tic electrons [39,40], and contributions to the anomalous magnetic moment of the electron [41].…”

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confidence: 99%

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

et al. 2014

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We present the concluding result from an Ives-Stilwell-type time dilation experiment using 7Li+ ions confined at a velocity of β=v/c=0.338 in the storage ring ESR at Darmstadt. A Λ-type three-level system within the hyperfine structure of the 7Li+3S1 →3P2 line is driven by two laser beams aligned parallel and antiparallel relative to the ion beam. The lasers' Doppler shifted frequencies required for resonance are measured with an accuracy of <4×10(-9) using optical-optical double resonance spectroscopy. This allows us to verify the special relativity relation between the time dilation factor γ and the velocity β, γ√1-β2=1 to within ±2.3×10(-9) at this velocity. The result, which is singled out by a high boost velocity β, is also interpreted within Lorentz invariance violating test theories.

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confidence: 99%

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

et al. 2014

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“…Ref. [109] also reports the precision of 10 −13 for non-rotating ring/triangular resonator. This high precision is inherited from the triangular or Mach-Zhender interferometer systems [104].…”

Section: Precision Of the Vacuum And Matter-filled Triangular Resonatormentioning

confidence: 99%

“…Ref. [109], done and reported after this paper, has presented a sharp way to suppress this reflection. It uses a ring resonator with a prism at the Brewster's angle.…”

Section: Precision Of the Vacuum And Matter-filled Triangular Resonatormentioning

confidence: 99%

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Triangular Ring Resonator: Direct Measurement of the Parity-Odd Parameters of the Photon Sector of Sme

Exirifard

2014

Int. J. Mod. Phys. D

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We introduce the the Triangular Ring (TR) resonator. We show that the difference between the clockwise and anti-clockwise resonant frequencies of a vacuum TR resonator is sensitive to the birefringence parity-odd parameters of the photon's sector of the minimal Standard Model Extension (mSME): the Standard Model plus all the perturbative parameters encoding the break the Lorentz symmetry. We report that utilizing the current technology allows for direct measurement of these parameters with a sensitivity of the parity even ones and improves the best current resonator bounds by couple of orders of magnitudes. We note that designing an optical table that rotates perpendicular to the gravitational equipotential surface (geoid) allows for direct measurement of the constancy of the light speed at the vicinity of the earth in all directions in particular perpendicular to the geoid. If this table could achieve the precision of the ordinary tables, then it would improve the GPS bounds on the constancy of the light speed perpendicular to geoid by about eight orders of magnitude.

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“…[10], the same authors classified the components of the rank-4 tensor (K F ) µναβ into birefringent and nonbirefrintent. Since those works, this CP T -even, but Lorentz-violating, parametrization has been the subject of diverse works in both the theoretical [20,[22][23][24][25][26][27][28][29][30][31][32] and experimental [33][34][35][36] sides. There is a clear difference concerning the experimental sensitivity reached for each set of parameters, for the constraints established for the birefringent coefficients are more stringent than the current bounds restricting the nonbirefringent components by several orders of magnitude.…”

Section: The Nonbirefringent Lorentz-violating Photon Propagatormentioning

confidence: 99%

One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension

Moyotl

Novales‐Sánchez

Toscano

et al. 2014

Int. J. Mod. Phys. A

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Lorentz violation emerged from a fundamental description of nature may impact, at low energies, the Maxwell sector, so that contributions from such new physics to the electromagnetic vertex would be induced. Particularly, nonbirefringent CP T -even effects from the electromagnetic sector modified by the Lorentz-and CP T -violating Standard Model Extension alter the structure of the free photon propagator. We calculate Lorentz-violating contributions to the electromagnetic vertex, at the one-loop level, by using a modified photon propagator carrying this sort of effects. We take the photon off shell, and find an expression that involves both isotropic and anisotropic effects of nonbirefringent violation of Lorentz invariance. Our analysis of the one-loop vertex function includes gauge invariance, transformation properties under C, P , and T , and tree-level contributions from Lorentz-violating nonrenormalizable interactions. These elements add to previous studies of the one-loop contributions to the electromagnetic vertex in the context of Lorentz violation in the photon sector. Finally, we restrict our analysis to the isotropic case and derive a finite contribution from isotropic Lorentz violation to the anomalous magnetic moment of fermions that coincides with the result already reported in the literature.

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Testing Lorentz invariance using an odd-parity asymmetric optical resonator

Cited by 15 publications

References 29 publications

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

Test of Time Dilation Using StoredLi+Ions as Clocks at Relativistic Speed

Triangular Ring Resonator: Direct Measurement of the Parity-Odd Parameters of the Photon Sector of Sme

One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension

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