Quantum theory of atomic clocks and gravito-inertial sensors: an update

In the framework of the ABCD-xi formulation of atom optics and with an adequate modeling of the beam splitters, we establish an exact analytical phase shift expression for atom interferometers. This result is valid for a time-dependent external Hamiltonian at most quadratic in position and momentum...

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Bibliographic Details
Published inJournal of optics. B, Quantum and semiclassical optics Vol. 5; no. 2; pp. S199 - S207
Main Authors Antoine, Ch, Bordé, Ch J
Format Journal Article Conference Proceeding
LanguageEnglish
Published Bristol IOP Publishing 01.04.2003
Institute of Physics
Subjects
Atom and neutron interferometry
Atom and neutron optics
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Matter waves
Measurements common to several branches of physics and astronomy
Metrology, measurements and laboratory procedures
Physics
Time and frequency
Accelerometers
Atom interferometry
ABCD matrix
Gyrometer
Atom optics
Phase shift
Hamiltonians
Theoretical study
Beam separators
Ramsey-Bordé interferometer
Atomic clocks
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Summary:In the framework of the ABCD-xi formulation of atom optics and with an adequate modeling of the beam splitters, we establish an exact analytical phase shift expression for atom interferometers. This result is valid for a time-dependent external Hamiltonian at most quadratic in position and momentum operators and is expressed in terms of coordinates and momenta of the wave packet centers at the interaction vertices only. As a specific application, the case of atom gyrometers and accelerometers is presented in detail.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1464-4266
1741-3575
DOI:10.1088/1464-4266/5/2/380