Microwave Control of the Interaction Between Two Optical Photons. David Szwer 09/09/ / 40

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1 Microwave Control of the Interaction Between Two Optical Photons David Szwer 09/09/ / 40

2 Introduction Photon-photon interaction is weak David Szwer 09/09/ / 40

3 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state David Szwer 09/09/ / 40

4 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state Strong atom-atom interactions blockade David Szwer 09/09/ / 40

5 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state Strong atom-atom interactions blockade Map single photons to Rydberg excitations David Szwer 09/09/ / 40

6 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state Strong atom-atom interactions blockade Map single photons to Rydberg excitations David Szwer 09/09/ / 40

7 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state Strong atom-atom interactions blockade Map single photons to Rydberg excitations Result: strong photon-photon interactions David Szwer 09/09/ / 40

8 Introduction Photon-photon interaction is weak Rydberg atom Atom in high n state Strong atom-atom interactions blockade Map single photons to Rydberg excitations Result: strong photon-photon interactions David Szwer 09/09/ / 40

9 Consider two atoms... David Szwer 09/09/ / 40

10 Consider two atoms... Induced dipole-dipole (van der Waals): Δ = ±C 6 /R 6 C 6 n 11 (for large n) Béguin et al., PRL 110, (2013) David Szwer 09/09/ / 40

11 Rydberg blockade David Szwer 09/09/ / 40

12 Rydberg blockade David Szwer 09/09/ / 40

13 Rydberg blockade David Szwer 09/09/ / 40

14 Rydberg blockade David Szwer 09/09/ / 40

15 Experiment - apparatus David Szwer 09/09/ / 40

16 87 Rb David Szwer 09/09/ / 40

17 Experiment - apparatus David Szwer 09/09/ / 40

18 Experiment - sequence David Szwer 09/09/ / 40

19 g (2) Maxwell et al., PRL 110, (2013) Dudin & Kuzmich, Science 336, 887 (2012) Peyronel et al., Nature 488, 57 (2012) David Szwer 09/09/ / 40

20 Consider two atoms... Induced dipole-dipole (van der Waals): Δ = ±C 6 /R 6 C 6 n 11 (for large n) Béguin et al., PRL 110, (2013) David Szwer 09/09/ / 40

21 Consider two atoms... Induced dipole-dipole (van der Waals): Δ = ±C 6 /R 6 C 6 n 11 (for large n) Intrinsic or resonant dipole-dipole: Δ = ±C 3 /R 3 C 3 n 4 (for large n) David Szwer 09/09/ / 40

22 87 Rb David Szwer 09/09/ / 40

23 Experiment - sequence David Szwer 09/09/ / 40

24 Microwave Rabi oscillations Maxwell et al., PRL 110, (2013) Bariani et al., PRL 108, (2012) David Szwer 09/09/ / 40

25 Microwave Rabi oscillations Maxwell et al., PRL 110, (2013) Bariani et al., PRL 108, (2012) David Szwer 09/09/ / 40

26 Microwave Rabi oscillations and g (2) Maxwell et al., arxiv: [physics.atom-ph] David Szwer 09/09/ / 40

27 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

28 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

29 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

30 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

31 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

32 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

33 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

34 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

35 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

36 2-Qubit Deterministic Gate Paredes-Barato and Adams, in preparation David Szwer 09/09/ / 40

37 2-Qubit Deterministic Gate Fidelity 95% Ω c = 2π 10 MHz Ω μ = 2π 1 MHz Temperature 1 μk n 60 Probe focus 0.2 R (6) B Efficiency 80% (storage / retrieval probability for / cm 3 atom density) Might avoid problems of Kerr effect Shapiro, PRA 73, (2006) Fane et al., PRL 110, (2013) David Szwer 09/09/ / 40

38 2-Qubit Deterministic Gate Fidelity 95% Ω c = 2π 10 MHz Ω μ = 2π 1 MHz Temperature 1 μk n 60 Probe focus 0.2 R (6) B Efficiency 80% (storage / retrieval probability for / cm 3 atom density) Might avoid problems of Kerr effect Shapiro, PRA 73, (2006) Fane et al., PRL 110, (2013) David Szwer 09/09/ / 40

39 2-Qubit Deterministic Gate Fidelity 95% Ω c = 2π 10 MHz Ω μ = 2π 1 MHz Temperature 1 μk n 60 Probe focus 0.2 R (6) B Efficiency 80% (storage / retrieval probability for / cm 3 atom density) Might avoid problems of Kerr effect Shapiro, PRA 73, (2006) Fane et al., PRL 110, (2013) David Szwer 09/09/ / 40

40 The Team Dan Maxwell David Paredes Barato Jon Pritchard Hannes Busche Alex Gauguet Matt Jones Kevin Weatherill Charles Adams David Szwer 09/09/ / 40

41 n 11 David Szwer 09/09/ / 40

42 g (2) g (2) (τ) = N(t) N(t+τ) / N(t) 2 David Szwer 09/09/ / 40

43 Microwave Rabi oscillations t = 300 ns 2π Ω μ = 2 MHz to 50 MHz R μ = 19 μm to 7 μm David Szwer 09/09/ / 40

44 Microwave Rabi oscillations N excitations cos 2N (Ω μ t) Maxwell et al., PRL 110, (2013) Bariani et al., PRL 108, (2012) David Szwer 09/09/ / 40

45 Microwave Rabi oscillations David Szwer 09/09/ / 40

46 Experiment - apparatus David Szwer 09/09/ / 40

47 Experiment - apparatus David Szwer 09/09/ / 40

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