1. Multimode quantum optics Nicolas Treps Claude Fabre Gaëlle Keller Vincent Delaubert Benoît Chalopin Giuseppe Patera Virginia d’Auria Jean-François Morizur Olivier Pinel Laurent Lopez Thomas Coudreau Agnès Maître En collaboration avec Hans Bachor, Canberra

2. Light : information light beam detector intensity photocurrent Continuous variable regime : about 10 16 photons/second

3. intensity phase Light : information

4. intensity phase polarization Light : information

5. intensity phase polarization position Light : information

6. intensity phase polarization position imaging traitement d’image Light : information

7. intensity phase polarization position imagerie traitement d’image time Light : information

8. intensity phase polarization position imaging traitement d’image time Light : information

9. Multimode light Light beam Monochromatic case : All modes, even vacuum, have to be considered polarization space frequency Electric field operator

10. Quantum description of multimode light (n-1) non- classical state of zero mean value vacuum Single mode “classically” : modes single mode beam state of mean value  0 multimode beam Single mode vs. multimode Prospective : use of symplectic transformation to extract invariant quantities

11. Menu Quantum optics with frequency combs Position measurement and spatial entanglement Noiseless image amplification EPR states generation and characterization : see poster of Gaëlle Keller

12. Menu Quantum optics with frequency combs Position measurement and spatial entanglement Noiseless image amplification

13. 1 er ordre (Taylor) proportionnel à Pas de dépendance en d = + x For small displacement ( ) of a TEM 00 Displacement of a gaussian beam

14. Small displacementIntensity measurement light beam w0w0 w0w0 +1+1 -1 Detection mode : image x gain function 64% overlap

15. Standard Cramer Rao bound is reached + PZT incident TEM 00 beam -  LO x Homodyne detection Field measure

16. Multimode quantum light + PZT TEM 00 incident -  LO x + Coherent squeezed vacuum Experimental realization in Canberra : 2dB of spatial noise squeezing position squeezed beam

17. Several bits on a focal point : Application to optical read-out

18. + Coherent squeezed vacuum + Coherent squeezed vacuum Spatial entanglement Conjugate variable ? Multimode entanglement

19. Transverse displacement d Displacement and tilt of a gaussian beam +  Tilt + Entanglement between position and momentum of a macroscopic beam ! First results : inseparability « measure » mesuré corrigé des pertes critère EPR Other variables : angular momentum, rotations Quantum information

20. Experiment at ANU

21. Menu Quantum optics with frequency combs Position measurement and spatial entanglement Noiseless image amplification

22. Signal Pump Parametric generation Idler Parametric generation Spatial and time correlations pump signal idler in out pump Parametric amplification IN OUT IN OUT Insensible à la phase Sensible à la phase

23. OPO in a dual cavity Semi-confocal Relative phase between pump and image

24. Injection output Setup EOM intensity modulation spectrum analyser image generation Noiseless amplification in Type II Noise factor Gain Amplified images noiseless amplification regime phase insensitive phase sensitive

25. Relative phase (amplification/deamplification) Time (Locked traces) Noiseless amplification Twin images Squeezing and entanglement

26. OPA Squeezed and entangled beams of various transverse shapes OPA in a self imaging cavity pump All images ! Bellow threshold : - local squeezing - multimode entanglement Squeezing and entanglement

27. Réduction du bruit quantique et intrication

28. Menu Quantum optics with frequency combs Position measurement and spatial entanglement Noiseless image amplification

29. Time and frequency Mode locked femtosecond laser synchronously pumped OPO Laser OPO Advantages Act as a continuous laser with very high peak intensity Very low threshold cavity High efficiency for generation of non classical light

30.  …  Frequency domain  frequency comb signal and idler Time and frequency Mode locked femtosecond laser synchronously pumped OPO Laser OPO

31. Temporal homodyne detection Laser OPO frequency doubling pulse shaping - Application : scanning the temporal modes emitted by the OPO time measurement by analogy with spatial measurement correlations / entanglement Prospective : quantum noise in metrology quantum information and communication spatiotemporal quantum effects