Clock-Comparison Tests of Lorentz and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">CPT</mml:mi></mml:math>Symmetry in Space

Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D.; Russell, Neil

doi:10.1103/physrevlett.88.090801

Cited by 244 publications

(191 citation statements)

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“…Optical interferometry represents a high accurate measurement scheme with wide applications in many fields of science and technology [1][2][3][4][5]. Besides, the precise estimation of an optical phase shift is relevant for optical communication schemes where information is encoded in the phase of travelling pulses.…”

Section: Introductionmentioning

confidence: 99%

Optical interferometry in the presence of large phase diffusion

et al. 2012

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Phase diffusion represents a crucial obstacle towards the implementation of high precision interferometric measurements and phase shift based communication channels. Here we present a nearly optimal interferometric scheme based on homodyne detection and coherent signals for the detection of a phase shift in the presence of large phase diffusion. In our scheme the ultimate bound to interferometric sensitivity is achieved already for a small number of measurements, of the order of hundreds, without using nonclassical light.

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Section: Introductionmentioning

confidence: 99%

Optical interferometry in the presence of large phase diffusion

et al. 2012

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“…These coefficients can be taken as constant on the scale of the solar system. Therefore the canonical frame adopted for reporting results from experimental searches for Lorentz invariance violation is the Sun-centered frame [13][14][15], with Z axis along direction of the Earth's rotation and X axis pointing towards the vernal equinox. The zero in time is taken to be the vernal equinox at March 20, 2000 at 7:35 a.m. Universal Time.…”

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confidence: 99%

Search for Lorentz invariance violation through tests of the gravitational inverse square law at short ranges

Shao

Tan

et al. 2015

Phys. Rev. D

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A search for sidereal variations in the non-Newtonian force between two tungsten plates separated at millimeter ranges sets experimental limits on Lorentz invariance violation involving quadratic couplings of Riemann curvature. We show that the Lorentz invariance violation force between two finite flat plates is dominated by the edge effects, which includes a suppression effect leading to lower limits than previous rough estimates. From this search, we determine the current best constraints of the Lorentz invariance violating coefficients at a level of 10 −8 m 2 .PACS numbers: 04.25.Nx,04.80.Cc Local Lorentz invariance is at the foundation of both the Standard Model of particles physics and General Relativity (GR), however, the later theory is formulated as a classical theory, which demands some changes in its foundational structure to merge gravity with quantum mechanics. Even if local Lorentz invariance is exact in the underlying theory of quantum gravity, spontaneous breaking of this symmetry may occur, leading to tiny observable effects [1,2]. On the other hand, Lorentz violations could also be large but "hard-to-see", despite many experiments to date setting very tight bounds across many physical sectors [3]. This would occur if the Lorentz invariance violation is "countershaded" as pointed out in ref [4]. Thus in general, the investigation of local Lorentz invariance violations in the spacetime theory of gravity is a valuable tool to probe the foundations of GR [5,6] without preconceived notions of the numeric sensitivity.Recently, the studies of Lorentz invariance violation in the pure-gravity sector shows that general quadratic curvature coupling will lead to interesting new effects in short-range experiments that could have escaped detection in conventional studies to date [7]. Accordingly a crude estimation has been made on the possible constraints for these types of Lorentz invariance violation [7], predicted to be tested to the level of 10 −8 to 10 −10 m 2 using short-range experiments, such as the EotWash [8, 9], Wuhan [10,11], and Bloomington[12] experiments. However, for the latter two results, edge effects are not considered properly. In this work we obtain the best current constraint of the Lorentz invariance violation at level 10 −8 m 2 from a detailed reanalysis of prior data taken from the Wuhan experiment (HUST-2011).Effective field theory is a powerful and unique tool for investigating physics at attainable scales, and is suited for exploration of local Lorentz invariance in gravity. For centuries after Newton's Principia, our experimental understanding of gravity remains in some respects remark- * E-mail: junluo@sysu.edu.cn † E-mail: michael.tobar@uwa.edu.au ably limited. We are confident that Newton's law describes the dominant physics in long-range gravity and GR provides accurate relativistic corrections. However, in short-range gravity, it is presently unknown whether gravity obeys Newton's law, and many models attempting to unify gravity and the other fundamental forces in the same...

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“…, where Λ α µ is the standard Lorentz boost plus rotation from the SCCEF to the lab frame [7,10,18]. Thanks to the Earth's orbital velocity, the boost Λ α µ mixes the time and spatial components of c SCCEF αβ into the spatial components of c lab µν .…”

Section: Theorymentioning

confidence: 99%

“…For a terrestrial laboratory, the lab-frame values of the tensor's dominant spatial components c lab jk depend upon the orientation of the lab with respect to the SCCEF, and thus modulate with characteristic frequency Ω ≃ 2 × 2π/(23 h 56 min), or twice every sidereal day. The value of the anomalous tensor in the lab-frame can be related to that in the SC-, where Λ α µ is the standard Lorentz boost plus rotation from the SCCEF to the lab frame [7,10,18]. Thanks to the Earth's orbital velocity, the boost Λ α µ mixes the time and spatial components of c SCCEF αβ into the spatial components of c lab µν .…”

mentioning

confidence: 99%

Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field

Harabati¹,

Dzuba²,

Flambaum³

et al. 2015

Phys. Rev. A

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We demonstrate that experiments measuring the transition energies of rare-earth ions doped in crystalline lattices are sensitive to violations of Local Lorentz Invariance and Einstein's Equivalence Principle. Using the crystal field of LaCl3 as an example, we calculate the frame-dependent energy shifts of the transition frequencies between low-lying states of Ce 3+ , Nd 3+ , and Er 3+ dopants in the context of the Standard Model Extension, and show that they have high sensitivity to electron anomalies that break rotational invariance.PACS numbers: 03.30.+p, 11.30.Er, 11.30.Cp, 32.30.Jc Most of our day-to-day experiences are mediated by light and charged particles, and in particular its interaction with electrons. To the best of our knowledge, the physics of a system of photons and electrons is independent of the velocity and orientation of that system in absolute space, nor is it locally dependent upon where that system lies in a gravitational potential. These symmetries, respectively described as local Lorentz invariance (LLI) and Einstein's equivalence principle (EEP), are fundamental to our modern understanding of the standard model and general relativity. It is possible, however, that these symmetries are not exact at experimentally accessible energy scales, thanks to spontaneous symmetry breaking or other physics at high energy scales [1,2]. This possibility has driven many experimental tests of LLI and EEP [3], and motivated the development of phenomenological frameworks that can quantitatively describe the effect of LLI-and EEP-violation on known particles and fields. One such framework is provided by the standard model extension (SME) [4,5], which has been used to analyze a wide range of experiments [6]. The SME augments the standard model Lagrangian with all combinations of known particles and fields that are not invariant under Lorentz transformations, but which preserve gauge invariance, energy and translational invariance, and the invariance of the total action [4,5]. These terms are parameterized by Lorentz tensors that are collectively known as LLI-and EEP-violating coefficients, and are further subdivided into 'sectors' that deal with terms involving a particular particle. In this Letter, we focus on tests of the electron-sector c µν tensor, which modifies the inertial energy of electrons according to their direction of motion.Spectroscopy of neutral dysprosium atoms has already led to one of the world's most sensitive tests of electronic LLI and EEP [7]. More recently, a still more sensitive measurement of the electron c µν coefficients was obtained by engineering the quantum state of a pair of trapped Ca + ions [8], extending precision tests of electronic LLI past the electroweak (relative to the Planck mass) scale. Both of these experiments operate at or near the interrogation-time-of-flight or atom (ion) shot-noise limit. In this Letter, we consider the possibility of using rare earth ions doped in a crystalline lattice to perform similar measurements of the electronic c µν . Rare-earth ion...

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Clock-Comparison Tests of Lorentz andCPTSymmetry in Space

Cited by 244 publications

References 57 publications

Optical interferometry in the presence of large phase diffusion

Optical interferometry in the presence of large phase diffusion

Search for Lorentz invariance violation through tests of the gravitational inverse square law at short ranges

Effects of Lorentz-symmetry violation on the spectra of rare-earth ions in a crystal field

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