Sagnac effect in a chain of mesoscopic quantum rings

Abstract

The ability to interferometrically detect inertial rotations via the Sagnac effect has been a strong stimulus for the development of atom interferometry because of the potential 10^{10} enhancement of the rotational phase shift in comparison to optical Sagnac gyroscopes. Here we analyze ballistic transport of matter waves in a one dimensional chain of N coherently coupled quantum rings in the presence of a rotation of angular frequency, Ω. We show that the transmission probability, T, exhibits zero transmission stop gaps as a function of the rotation rate interspersed with regions of rapidly oscillating finite transmission. With increasing N, the transition from zero transmission to the oscillatory regime becomes an increasingly sharp function of Ωwith a slope \partialT/\partial ΩN^2. The steepness of this slope dramatically enhances the response to rotations in comparison to conventional single ring interferometers such as the Mach-Zehnder and leads to a phase sensitivity well below the standard quantum limit.

References in corpus (7)

• Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
• Cold atom confinement in an all-optical dark ring trap
• A Bose-Einstein condensate interferometer with macroscopic arm separation
• Confinement effects in a guided-wave interferometer with millimeter-scale arm separation
• Dark dynamic acousto-optic ring lattices for ultracold atoms
• Dark Optical Lattice of Ring Traps for Cold Atoms
• Sagnac Rotational Phase Shifts in a Mesoscopic Electron Interferometer with Spin-Orbit Interactions

Cited by in corpus (6)

• Experimental realization of Josephson junctions for an Atom SQUID
• Entanglement enhanced atomic gyroscope
• A scalable Bose-Einstein condensate Sagnac interferometer in a linear trap
• Optically controlled periodical chain of quantum rings
• Aharonov-Bohm interferences in polycrystalline graphene
• Sagnac effect in a rotating ring with Dirac fermions