Quantum superposition at the half-metre scale

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1 Quantum superposition at the half-metre scale Jinuk Kim Quantum-Field Laser Laboratory Department of Physics and Astronomy Seoul National University, Korea Your Occasion April 25,

2 B.A., Physics, Dartmouth College, 1985 M.A., Physics and Philosophy, Merton College, Oxford University, 1987 Ph.D., Applied Physics, Stanford University, June 1992 (Thesis: "Atom interferometry in an atomic fountain") Professor, Physics Dept., Stanford University, 2002-present Professor, Physics Dept., Yale University, Associate Professor, Physics Dept., Yale University, Assistant Professor, Physics Dept., Stanford University, Your Occasion April 25,

3 Research Interest - Atom Interferometric Test of the Equivalence Principle - Measurement of gravitational waves Eötvös-parameter Your Occasion April 25,

4 Your Occasion April 25, Contents Principle of the atom interferometer Preparation of the state of atoms Large momentum transfer Beam splitter Experimental result

5 Your Occasion April 25,

6 Energy diagram and Raman transition 87 RR FF = 2, m f = 0 e F = 1, m f = 0 g A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25,

7 Raman Mach-Zehnder interferometer position e, ħk φ 1 g, 0ħk φ 2 π/2 ppppp π ppppp π/2 ppppp 0 T A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25, T time

8 Your Occasion April 25,

9 Gravitational effect Δφ g 2nnnT 2 Your Occasion April 25,

10 Preparation of the atomic state A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25,

11 Magnetic lens t = khz trap Your Occasion April 25,

12 Your Occasion April 25, Magnetic lens t < t llll

13 Your Occasion April 25, Magnetic lens t = t llll

14 Your Occasion April 25, Magnetic lens t = t llll T f T i = Δx i Δx f 2 sssssssssssss RR aaaaa

15 Your Occasion April 25, Optical lattice launch V 0 t δ(t) V x, t = V 0 t cos 2kk + δ(t)t J Hecker Denschlag et al, J. Phys. B: At. Mol. Opt. Phys. 35,3095 (2002).

16 Your Occasion April 25, Sequential Raman transition Energy 2,6ħk FF = 2, m f = 0 2,0ħk 2,2ħk 2,4ħk 1,8ħk 1,6ħk F = 1, m f = 0 1,0ħk 1,2ħk 1,4ħk

17 Your Occasion April 25, Large momentum transfer atomic beamsplitter T. Kovachy et al, Nature 528, (2015).

18 Your Occasion April 25, Fluorescence images of outputports 2ħk iiiiiiiiiiiiii 90ħk iiiiiiiiiiiiii T. Kovachy et al, Nature 528, (2015).

19 Your Occasion April 25, Loss of atoms and Contrast T. Kovachy et al, Nature 528, (2015).

20 Q&A A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25,

21 Your Occasion April 25, Supplementary materials

22 Raman transition F = 1, m f = 0 FF = 2, m f = 0 A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25,

23 Raman beam configuration A. Sugarbaker, Ph.D. thesis, Stanford University, (2014) Your Occasion April 25,

24 Your Occasion April 25, Atomic lens

25 Your Occasion April 25, Atomic lens

26 Your Occasion April 25, Coherece time

27 Sequential Raman transitions Your Occasion April 25,

28 Your Occasion April 25, Spatial interference fringes

29 Your Occasion April 25,

30 Your Occasion April 25, Lagrangian of atoms

31 Your Occasion April 25, Lagrangian of atoms

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