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Testing the Equivalence Principle with a two-species atom interferometer in free fall

Patrick Cheinet

Jun 1, 20100 citations

Diffraction of particles in free fall

David Condado, J. Lorenzo Díaz-Cruz, A. Rosado +1 more

The problem of a beam of quantum particles falling through a diffractive screen is studied. The solutions for single and double slits are obtained explicitly when the potential is approximated by a linear function. It is found that the resulting patterns depend on a quasitime $\ensuremath{\tau}$ given by a function of the coordinate along the propagation axis in a classical combination ${z}_{0}\ensuremath{-}{t}^{2}F/m$, while the diffraction effects along transverse axes are due solely to $m/\ensuremath{\hbar}$. The consequences on the precision at which the equivalence principle can be tested are discussed. Realizations with ultracold neutrons, Bose-Einstein condensates, and molecular beams are proposed.The problem of a beam of quantum particles falling through a diffractive screen is studied. The solutions for single and double slits are obtained explicitly when the potential is approximated by a linear function. It is found that the resulting patterns depend on a quasitime $\ensuremath{\tau}$ given by a function of the coordinate along the propagation axis in a classical combination ${z}_{0}\ensuremath{-}{t}^{2}F/m$, while the diffraction effects along transverse axes are due solely to $m/\ensuremath{\hbar}$. The consequences on the precision at which the equivalence principle can be tested are discussed. Realizations with ultracold neutrons, Bose-Einstein condensates, and molecular beams are proposed.

arXiv:1806.02409Physical Review AOct 15, 20180 citations

Probing Quantum Violations of the Equivalence Principle

G. Z. Adunas, Bety Rodriguez-Milla, Dharam Vir Ahluwalia

arXiv:gr-qc/0006022General Relativity and GravitationFeb 1, 200160 citations

Atom-Based Test of the Equivalence Principle

Sebastian Fray, Martin Weitz

We describe a test of the equivalence principle with quantum probe particles based on atom interferometry. For the measurement, a light pulse atom interferometer based on the diffraction of atoms from effective absorption gratings of light has been developed. A differential measurement of the Earth’s gravitational acceleration g for the two rubidium isotopes 85 Rb and 87 Rb has been performed, yielding a difference Δ g / g =(1.2±1.7)×10 −7 . In addition, the dependence of the free fall on the relative orientation of the electron to the nuclear spin was studied by using atoms in two different hyperfine states. The determined difference in the gravitational acceleration is Δ g / g =(0.4±1.2)×10 −7 . Within their experimental accuracy, both measurements are consistent with a free atomic fall that is independent from internal composition and spin orientation.We describe a test of the equivalence principle with quantum probe particles based on atom interferometry. For the measurement, a light pulse atom interferometer based on the diffraction of atoms from effective absorption gratings of light has been developed. A differential measurement of the Earth’s gravitational acceleration g for the two rubidium isotopes 85 Rb and 87 Rb has been performed, yielding a difference Δ g / g =(1.2±1.7)×10 −7 . In addition, the dependence of the free fall on the relative orientation of the electron to the nuclear spin was studied by using atoms in two different hyperfine states. The determined difference in the gravitational acceleration is Δ g / g =(0.4±1.2)×10 −7 . Within their experimental accuracy, both measurements are consistent with a free atomic fall that is independent from internal composition and spin orientation.

Space Science ReviewsJul 24, 200911 citations

Quantum tests of the equivalence principle with atom interferometry

Naceur Gaaloul, Henning Ahlers, Torben Schulze +5 more

Acta AstronauticaJul 17, 201011 citations

Equivalence Principle, Quantum Mechanics, and Atom-Interferometric Tests

Domenico Giulini

arXiv:1105.0749Springer eBooksJan 1, 201245 citations

Testing the equivalence principle with time-diffracted free-falling quantum particles

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