multimode quantum optics nicolas treps claude fabre galle keller vincent delaubert benot chalopin...
DESCRIPTION
intensity phase Light : informationTRANSCRIPT
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Multimode quantum optics
Nicolas TrepsClaude Fabre
Gaëlle KellerVincent DelaubertBenoît ChalopinGiuseppe PateraVirginia d’Auria
Jean-François MorizurOlivier Pinel
Laurent Lopez
Thomas CoudreauAgnès Maître
En collaboration avec Hans Bachor, Canberra
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Light : information
light beam
detector
intensity
photocurrent
Continuous variable regime : about 1016 photons/second
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intensity
phase
Light : information
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intensity
phasepolarization
Light : information
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intensity
phase
polarization
position
Light : information
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intensity
phase
polarization
position
imaging
traitement d’image
Light : information
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intensity
phase
polarization
position
imagerietraiteme
nt d’image
time
Light : information
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intensity
phase
polarization
position
imagingtraiteme
nt d’image
time
Light : information
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Multimode light
Light beam
Monochromatic case :
All modes, even vacuum, have to be considered
polarization
space frequency
Electric field operator
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Quantum description of multimode light
(n-1) non-classical state of zero mean value
1( )u r
( )nu r
vacuum
vacuum
Single mode “classically” : 0 0ˆ ( ) ( )E r u r
modes
0 ( )u rsingle mode beam
state of mean value 0 state of mean value 0
multimode beam
Single mode vs. multimode
Prospective : use of symplectic transformation to extract invariant quantities
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Menu
Quantum optics with frequency combs
Position measurement and spatial entanglement
Noiseless image amplification
EPR states generation and characterization : see poster of Gaëlle Keller
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Menu
Quantum optics with frequency combs
Position measurement and spatial entanglement
Noiseless image amplification
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1er ordre (Taylor)
proportionnel à Pas de dépendanceen
d
= + x
For small displacement ( ) of a TEM00
Displacement of a gaussian beam
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Small displacementIntensity measurement
light beamw0 light beamw0
+1
-1x
g xg
x
g
Detection mode : image x gain function
1i
2i
64% overlap
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Standard Cramer Rao bound is reached
+PZT
incident TEM00 beam -
LO
x
Homodyne detection
Field measure
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Multimode quantum light
+PZT
TEM00 incident -
LO
x
+Coherent squeezed vacuum
Experimental realization in Canberra : 2dB of spatial noise squeezing
position squeezed beam
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Several bits on a focal point :
Application to optical read-out
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+Coherent squeezed vacuum
+Coherent squeezed vacuum
Spatial entanglementConjugate variable ?
Multimode entanglement
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Transverse displacement
d
Displacement and tilt of a gaussian beam
+
Tilt
+
Entanglement between position and momentum of a macroscopic beam !First results :inseparability « measure »
mesurécorrigé des pertes
critère EPR critère EPR
Other variables : angular momentum, rotationsQuantum information
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Experiment at ANU
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Menu
Quantum optics with frequency combs
Position measurement and spatial entanglement
Noiseless image amplification
![Page 22: Multimode quantum optics Nicolas Treps Claude Fabre Galle Keller Vincent Delaubert Benot Chalopin Giuseppe Patera Virginia dAuria Jean-Franois Morizur](https://reader036.vdocuments.net/reader036/viewer/2022070610/5a4d1b997f8b9ab0599c4d47/html5/thumbnails/22.jpg)
Signal
PumpParametric generation
Idler
Parametric generation
Spatial and time correlations
pump
signal
idlerin
2out
pump2
Parametric amplification
IN
OUT
IN
OUT
Insensible à la phase Sensible à la phase
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OPO in a dual cavity
Semi-confocal
Relative phase between pump and image
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Injectionoutput
Setup
EOMintensitymodulation
spectrumanalyser
image generation
Noiseless amplification in Type II
Noise
fact
or
Gain
Amplified images
noiseless amplification regime
phase insensitive
phase sensitive
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Relative phase (amplification/deamplification)Time (Locked traces)
Noiseless amplificationTwin images
Squeezing and entanglement
Squeezing and entanglement
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OPA
Squeezed and entangled beams of various transverse shapes
OPA in a self imaging cavity
pumpAll images !Bellow threshold :
- local squeezing- multimode entanglement
Squeezing and entanglement
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Réduction du bruit quantique et intrication
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Menu
Quantum optics with frequency combs
Position measurement and spatial entanglement
Noiseless image amplification
![Page 29: Multimode quantum optics Nicolas Treps Claude Fabre Galle Keller Vincent Delaubert Benot Chalopin Giuseppe Patera Virginia dAuria Jean-Franois Morizur](https://reader036.vdocuments.net/reader036/viewer/2022070610/5a4d1b997f8b9ab0599c4d47/html5/thumbnails/29.jpg)
Time and frequency
Mode locked femtosecond laser
synchronously pumped OPO
LaserOPO
Advantages
Act as a continuous laser with very high peak intensityVery low threshold cavity
High efficiency for generation of non classical light
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…
Frequency domain
frequency comb
signal and idler
Time and frequency
Mode locked femtosecond laser
synchronously pumped OPO
LaserOPO
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Temporal homodyne detection
LaserOPO
frequency doubling
pulse shaping
-
Application : scanning the temporal modes emitted by the OPOtime measurement by analogy with spatial measurementcorrelations / entanglement
Prospective : quantum noise in metrology quantum information and communication
spatiotemporal quantum effects
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