The Local Lorentz Symmetry Violation and Einstein Equivalence Principle

Abstract

Lorentz symmetry violation (LV) was recently proposed to be testable with a new method, in which the effect of the violation is described as a certain local interaction [R. Shaniv, et al, PRL 120, 103202 (2018)]. We revisit this LV effect in the paper and show that it is not only local, but it also represents a classical violation according to the recent quantum formulation of the Einstein equivalence principle (EEP). Based on a harmonically trapped spin-1/2 atomic system, we apply the results of table-top experiments testing LV effect to estimate the corresponding violation parameter in the quantum formulation of EEP. We find that the violation parameter is indeed very small, as expected by the earlier theoretical estimation.

References in corpus (9)

• Twin matter waves for interferometry beyond the classical limit
• Matter-gravity couplings and Lorentz violation
• Deterministic entanglement generation from driving through quantum phase transitions
• Quantum test of the equivalence principle for atoms in superpositions of internal energy eigenstates
• What Do We Know About Lorentz Invariance?
• Rotating optical cavity experiment testing Lorentz invariance at the 10^{-17} level
• Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
• A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
• New ideas for tests of Lorentz invariance with atomic systems