1. Fast and Robust Laser Cooling of Trapped Systems Javier Cerrillo-Moreno, Alex Retzker, Martin B. Plenio Obergurgl, 7 th June 2010

2. 2 Motivation Quantum Information Processing Quantum Simulation Quantum Optics Localized quantum object Precision measurements Spectroscopy R. Blatt

3. 3 Overview Cooling schemes for trapped systems Building Blocks  EIT cooling  Stark-shift cooling Proposal  Concept  Mechanism  Features

4. 4 One-phonon processes Carrier transition Blue side-band transition Red side-band transition

5. 5 Side-band cooling Carrier Transition Blue side-band transition Red side-band transition

6. 6 Dark-state cooling Carrier Transition Blue side-band transition Red side-band transition

7. 7 Dark-state cooling Carrier Transition Blue side-band transition Red side-band transition

8. 8 Double Dark-state cooling ? Carrier Transition Blue side-band transition Red side-band transition

9. 9 Overview Cooling schemes for trapped systems Building Blocks  EIT cooling  Stark-shift cooling Proposal  Concept  Mechanism  Features

10. 10 Electromagnetically-Induced Transparency EIT cooling Ω, -η Ω, η Morigi, Eschner and Keitel PRL, 85 (2004)

11. 11 Stark Shift cooling Ω Ω Ωc, η ν Stark Shift gate A. Retzker, M. Plenio, New J. of Phys. 9 (2007) 279

12. Cooling schemes for trapped systems Building Blocks  EIT cooling  Stark-shift cooling Proposal  Concept  Mechanism  Features 12 Overview J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

13. 13 Robust cooling – Concept ΩaΩa ΩaΩa Ωb, ηb Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

14. 14 Robust cooling – Steady state Stark Shift OR EIT cooling Stark Shift AND EIT cooling Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

15. 15 Robust cooling – Mechanism H EIT H int = H EIT + H SS = 0 + aH EIT = 0 H EIT H SS ≠ a J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

16. 16 Robust cooling – Features Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010) Final Temperature Cooling rate Implementation

17. Robust cooling - Implementation 17 Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

18. 18 Robust cooling – Features Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010) Final Temperature Cooling rate Robustness Implementation

19. 19 Robust cooling – Robustness Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)

20. 20 Summary Interference of 2 cooling schemes Steady state is a pure state Best final T and cooling rate Easy implementation Experimentally robust Ωa, -ηa Ωa, ηa Ωb, ηb J. Cerrillo, A. Retzker, M. Plenio, Phys. Rev. Lett. 104, 043003 (2010)