TY - JOUR
T1 - Sagnac effect in a chain of mesoscopic quantum rings
AU - Search, Christopher P.
AU - Toland, John R.E.
AU - Zivkovic, Marko
PY - 2009/5/1
Y1 - 2009/5/1
N2 - 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 1010 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 Ω with a slope ∼ N2. The steepness of this slope dramatically enhances the response to rotations in comparison to conventional single ring interferometers such as the Mach-Zehnder interferometer and leads to a phase sensitivity well below the quantum shot-noise limit typical of atom interferometers.
AB - 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 1010 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 Ω with a slope ∼ N2. The steepness of this slope dramatically enhances the response to rotations in comparison to conventional single ring interferometers such as the Mach-Zehnder interferometer and leads to a phase sensitivity well below the quantum shot-noise limit typical of atom interferometers.
UR - http://www.scopus.com/inward/record.url?scp=65649114047&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=65649114047&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.79.053607
DO - 10.1103/PhysRevA.79.053607
M3 - Article
AN - SCOPUS:65649114047
SN - 1050-2947
VL - 79
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 053607
ER -