Physics 452 Quantum Optics and Quantum Gases. Class information:

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1 Physcs 45 Quantum Otcs and Quantum Gases Class nformaton: htts://ultracold.uchcago.edu/hys_courses

2 Physcs 45 Quantum Otcs and Quantum Gases Autumn 017 Physcs 4500 Quantum Otcs and Quantum Gases Tme: MWF 09:00-10:0 am Offce hour: TuTh 11am~1m Classroom: KPTC 105 Lecturer: Cheng Chn Webste: htts://ultracold.uchcago.edu/autumn_017_p45 Quantum Gases Wk01 09/5 M 9:00~10:0 The holy gral Bose-Ensten condensaton Wk01 09/7 W 9:00~10:0 Quantum gas vs. normal gas HW1 Wk0 10/0 M 9:00~10:0 Atomc s-wave nteractons Wk0 10/04 W 9:00~10:0 Weakly nteractng BEC: Gross-Ptaevsk equaton Wk03 10/09 M 9:00~10:0 Weakly nteractng BEC: Bogolubov transformaton Wk03 10/11 W 9:00~10:0 Cold collsons and Feshbach resonances HW3 Wk04 10/16 M 9:00~10:0 Strongly nteractng gas: Bosons vs. Fermons Wk04 10/18 W 9:00~10:0 Lab Tour Wk04 10/3 M 9:00~10:0 Ultracold molecules Wk05 10/5 W 9:00~10:0 Otcal lattces HW4 Wk06 10/30 M 9:00~10:0 Presentatons 1 + Mdterm HW

3 Physcs 45 Quantum Otcs and Quantum Gases Quantum Otcs Wk06 11/01 W 9:00~10:0 Inelastc and elastc Raylegh scatterng HW5 Wk07 11/06 M 9:00~10:0 Lght shfts and dressed atom cture Wk07 11/08 W 9:00~10:0 Precson measurements HW6 Wk07 11/10 F 9:00~10:0 Coherent states and squeezed states Wk08 11/13 M 9:00~10:0 Photon entanglement HW7 Wk08 11/15 W 9:00~10:0 o Class Wk08 11/0 M 9:00~10:0 Quantum teleortaton Wk09 11/ M 9:00~10:0 Cavty QED Wk09 11/7 M 9:00~10:0 Quantum comutaton HW8 Wk09 11/9 W 9:00~10:0 Presentatons + Fnal Evaluaton Problem sets 40% Mdterm 0% Fnal 0% Fnal aer/resentaton 30%

4 Presentatons Quantum gas Rado Frequency Magneto-Otcal Trang of CaF wth Hgh Densty: Phys. Rev. Lett Formaton of matter-wave solton trans by modulaton nstablty: Scence Creaton of a Bose-condensed gas by laser coolng: arxve: An atom-by-atom assembler of defect-free arbtrary d atomc arrays: Scence Quantum otcs Quantum suerostons at metre scales: ature ature 537 E1-E 015 and arxve: Loohole-free Bell nequalty volaton usng electron sns searated by 1.3 km: ature Bell correlatons n thermal gas and Bose condensates: Physcal Revew Letters Scence Entanglement of almost 3000 atoms heralded by one hoton: ature Cavty Coolng of many atoms: Physcal Revew Letters

5 Physcs 45 Quantum Otcs and Quantum Gases Suortng tets Quantum gases: Bose-Ensten Condensaton n Dlute Gases by C. J. Pethck and H. Smth Bose-Ensten Condensaton by L. Ptaevsk S. Strngar G.-P. equaton and Bogolubov aromaton A.J. Leggett ew J. Phys Revew aers: The cold atom Hubbard toolbo Annals of Physcs Theory of Bose-Ensten condensaton n traed gases RMP Theory of ultracold atomc Ferm gases RMP Many-body hyscs wth ultracold gases RMP Feshbach resonances n ultracold gases RMP Quantum otcs: Quantum Otcs by M. Scully and S. Zubary Mesoscoc Quantum Otcs by Y. Yamamoto and A. Imamoglu Quantum Otcs by D. F. Walls and G. J. Mlburn Electromagnetc ose and Quantum Otcal Measurements by Hermann A. Haus Revew aers: Modern aroach to quantum otcs: S.L. Braunsten and P. van Loock RMP Photon echos: I.D. Abella.A. Kurnt and S.R. Hartmann Phys. Rev Contnuous-varable otcal quantum-state tomograhy: RMP Lnear otcal quantum comutng wth hotonc qubts: RMP

6 Physcs 45 Quantum Otcs and Quantum Gases Phase sace densty Classcal mechancs: # of artcle n a unt hase sace P E 0 n 3 db H / kt ~ e dd / Quantum Mechancs: # of artcle n the ground state 3

7 Physcs 45 Quantum Otcs and Quantum Gases BEC as a coherent source of matterwave 1995~001 Matter waves Interference MIT grou 1997 Matter wave laser MPQ grou 000 ortces n Bose-Ensten Condensaton JILA grou 000 lam laser Ansotroc eanson JILA MIT 1996 Whch eerment really rove Bose-Ensten condensaton?

8 Physcs 45 Quantum Otcs and Quantum Gases on-nteractng BEC and Ferm gas

9 Interactng gas E H Many-body aroach j j m H ˆ ˆ Mean feld aroach: ntroduce one more artcle n the system H g m H ˆ E constant g :coulng Gross-Ptaevsk Equaton: ˆ g m

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