ATOMASER CONCEPT

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Comparison of atom and photon interferometers
using 5D optics
Christian J. Bordé Académie des Sciences
FLORENCE 2009
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Laser beams
Atoms
p/2 Pulses
Total phaseAction integralEnd splittingBeam
splitters
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Laser beams
p
p/2
p/2
BORDÉ-CHU INTERFEROMETER
Total phaseAction integralEnd splittingBeam
splitters
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BORDÉ-RAMSEY INTERFEROMETERS
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Multiple wave interferometer
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FROM 3 TO 4 SPATIAL DIMENSIONS
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b
E(p)
a
Mbc2
Mac2
p//
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E
Mc
p
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t
Sct
x
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OPTICAL PATH FERMATS PRINCIPLE IN (41)D
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BASICS OF ATOM /PHOTON OPTICS Parabolic
approximation of slowly varying phase and
amplitude
E(p)
p
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BASICS OF ATOM /PHOTON OPTICS
Schroedinger-like equation for the atom /photon
field
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ABCDx? LAW OF ATOM/PHOTON OPTICS
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Ehrenfest theorem Hamilton equations
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GENERAL FORMULA FOR THE PHASE SHIFT OF AN
ATOM/PHOTON INTERFEROMETER
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Exact phase shift for the atom gravimeter
which can be written to first-order in g, with
TT
Reference Ch. J. B., Theoretical tools for atom
optics and interferometry, C.R. Acad. Sci.
Paris, 2, Série IV, p. 509-530, 2001
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ARBITRARY 3D TIME-DEPENDENT GRAVITO-INERTIAL
FIELDS
Example Phase shift induced by a gravitational
wave
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Atomic phase shift induced by a gravitational wave
Ch.J. Bordé, Gen. Rel. Grav. 36 (March
2004) Ch.J. Bordé, J. Sharma, Ph. Tourrenc and
Th. Damour, Theoretical approaches to laser
spectroscopy in the presence of gravitational
fields, J. Physique Lettres 44 (1983) L983-990
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Bordé-Ramsey interferometers
Laser beams
Atom beam
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