Parametric Down Conversion. Quantum optics seminar Winter 2008 Assaf Shaham

Transcription

1 Paam Dow Covso Quaum ops sma 7774 W 8 ssaf Shaham

2 ox Iouo Thoy of lass Sum Fquy Gao Quaum Hamloa fo PDC pplaos

3 No la ops Cao of w fqus h sysm. Usually h w fqus hav small amplu lav o h pu fqus. Hamo Dff Gao pump l opoal No la mum pump l sgal PDC: h ga as / pump No la mum / pump Sgal l

4 Nola mum No la py of h polazao h lal fl: D 4P P χ χ χ... P P P... NL P P Th suspbly s a so. D P P ε P χ NL NL 4 4.g.s

5 Subsug Maxwll quao gvs: 4 P ssumg >> ρ Slowly vayg mplu a w g h wav quao a mum: 4 P Rpsg h fquy ompo: Fo vy w hav:.. NL NL NL P P P.. 4 NL ε P D 4ρ B B D 4 H J

6 Pops of h so o suspbly P m χ m m m m Symms u h umb of umbs o sb χ. χ s al fo Losslss ma. Klma symmy: s fa away fom m soa of h ma. P χ m m m P 4 ff Fo h ga as: P ff

7 Thoy of lass Sum Fquy Gao Ivs poss of Hamo Dff Gao No la mum W oa o h z z.. wav fg: ε P z P.. 4ff.. 4ff Subsug 4 NL ε P gvs 6 ff z z z Slowly vayg mplu appoxmao: << z z

8 W f h py of a By h sam way w f also ha No plg pump appoxmao: z ff z 8 z ff z * 8 z ff z * 8 z L L ff L z ff 8 8 L o la mum lgh s L L I ff L ff <<

9 I 5 5 ff I I λ L s L Implaos: Th sy s quaa L f. I I I. If So Hamo Gao h I I.

10 Mho o ahv phas mahg W o ool h fao x fo vy fquy: gl ug - usg bfg pops of h ola ysal. KDP - KHPO 4 BBO - Ba-BaB O 4 Tmpau ug lhum oba LNbO Quas phas mahg LNbO LTaO KTP - KTOPO4 Phas mahg Quas Phas mahg No Phas mahg Fom Rf. p []

11 Bfg assum Fo omal spso s sg moooally Solluo: usg bfg ysal Sllm BBO yp λ [ m] µ λ.78.9 m m o µ λ µ λ θ o o xampl fo yp uaxal o o θ

12 Ix llpso fo uaxal ysals θ ẑ θ z s h opal axs xaoay. x y a oay axs. x o y o z ŷ o Polazao D s o h x-y pla a hav. o Polazao D hav θ. o x θ s θ os θ o Fom Rf. p []

13 Pops of bfg ysals Fo uaxal ysals: Typ Typ Posv uaxal Ngav uaxal > < o o o o o o o o Popagag o xampls: Colla o olla K K o Wal off: spaal mpoal.

14 lassal paam ow ovso s mpossbl I 5 5 / ff II λ L s L If I z Il z h wll b o PDC aog o h lassal hoy. pump No la mum / pump Sgal l ẑ > W hav o us Quaum mhas

15 Quaum Hamloa fo Spoaous Paam Dow Covso Classal lal gy o la ma: D NL D P B D B H ε... ; ; ; χ χ χ l l P ; χ χ ε X X X X B H

16 So quazao fo h X m: X Df: â 4 ' " χ "; ' ' " ' H X a s h ahlao opao fo mo I h ga as wh : hχ[ a a a a a a ] H X h V V quazao volum χ ' '' χ ' '' Nomal og a assumg lassal pump H a << ν ν hχ[ a a ν..] X χ Couplg osa

17 quaos of moo Slowly omplx mo amplus a a ] [ ] [ H H χν χν χν χν χ χ h h θ θ θ ν ν χν χν χν χν ν χ ν χ sh osh sh osh

18 Phoo sass Th h mom of : < Ψ > < [ θ ] [ θ osh sh osh χν χν χν sh χν ] θ sh χ ν sh sh!sh < Ψ > χ ν < > χ ν... < χ ν > > Fo w g h sam sul:!sh χ ν >... Rsul a smla o hmal phoo sass: ρ s xp H / B [ xp H / K T ]! K β T B momum s polazao

19 Opal Paam Oslao Ga s asympoally f xpoal f : z gz g 64 / ff Tuabl by hagg h phas mahg oo o hagg h avy s lgh. B Fss 4 p s Fom Rf. p []

20 Gag of squzg sa usg OPO Sgal o os

21 Sou fo sgl phoos Las yp ola ysal / P.B.S / H > V > H.W.P Q.W.P POL Homoy o P.B.S: Polazg Bam Spl H.W.P: Half Wav Pla Q.W.P: Qua Wav Pla POL: polaz

22 Sou fo aglm phoos No olla yp SPDC Ψ > > ϕ H V V H Fom Rf. p []

23 fs R.W. Boy Nola ops o am Pss Nw Yo. L. Mal Wolf Opal oh a Quaum ops Cambg uvsy pss Nw Yo 995. Wu L. Kmbl H.. Hall J.L. Wu Hufa Gao of squz sas by paam ow ovso Phys v L Bbah G Shll S Mly J Masum of h quaum sas of squz lgh Nau Rub M.H. Klysho D.N. Sh Y.H. Sgo.V. Thoy of wo phoo aglm yp-ii opal paam ow-ovso Phys. Rv Kwa P. G. Mal K. Wfu H. Zlg. Sgo. V. Shh Y. Nw Hgh-Isy sou of Polazao-agl phoo pas Phys. Rv. L Halv. Thss Wo Th Hbw Uvsy of Jusalm 8. Pus fom: [] RP Phoos: hp:// [] hp:// [] Gg Ma S. Kll S. Jams Cao a Chaazao of agl phoos Va so Hamo Gao of Ifa Dos Kyo Collg Gamb OH. 6: hp://bology.yo.u/hhmi/poss_5/ggm.pg