Experiments to Control Atom Number and Phase-Space Density in ...

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Isaac Chavez, Melissa Jerkins, Simon Kheifets, Akarsh Simha, Rodrigo Castillo-Garza, Bruce Klappauf, Jamie Gardner, Rob Clark, Christoph Schaeff, Christian Parthey and Maria Becker. During my time as a PhD student I also had the opportunity to work a few months with Professor Selim Jochim’s group at the Max-Planck-Institute for Nuclear Physics in Heidelberg, Germany. Selim’s enthusiasm for his work was truly inspiring and was echoed by the interactions I had with the members of his group: Timo Ottenstein, Thomas Lompe, Gerhard Zuern, Friedhelm Serwane, Martin Ries and Philipp Simon. I am truly grateful for the knowledge and experience I gained during those few months. I would also like to thank the administrative staff of the Center for Nonlinear Dynamics, Olga Vera, Marybeth Casias and Elena Simmons, for all their help during these years. I am very grateful towards Allan Schroeder and the physics machine shop who did a terrific job with all the machining projects we had. Without this resource much of this work would not have been possible. Lanny Sandefur and Ed Baez have provided excellent support in the cryogenics shop. I would also like to thank Jack Clifford for all the help he provided in the student machine shop. Ein ganz besonderer Dank geht auch an meine Familie, die mich immer ermutigt hat meinen eigenen Weg zu gehen. Die Gewissheit, dass sie mich immer unterstuetzen wird, ist unbezahlbar. I am also grateful to have the support from my new family. vi Kirsten Viering
Experiments to Control Atom Number and Phase-Space Density in Cold Gases Kirsten Viering, Ph.D. The University of Texas at Austin, 2012 Supervisor: Mark G. Raizen This dissertation presents the development and implementation of two novel experimental techniques for controlling atom number and phase-space density in cold atomic gases. The first experiment demonstrates the method of single-photon cooling, an optical realization of Maxwell’s demon, using an ensemble of rubidium atoms. Single-photon cooling increases the phase-space density of a cloud of magnetically trapped atoms, reducing the entropy of the ensemble by irreversibly transferring atoms through a one- way wall via a single-photon scattering event. While traditional laser cooling methods are limited in their applicability to a small number of atoms, single-photon cooling is much more general and should in principle be applicable to almost all atoms in the periodic table. The experiment described in this dissertation demonstrates a one-dimensional implementation of the cooling scheme. Complete phase-space compression along this dimension is observed. The limitations on the cooling performance are shown to be given by trap dynamics in the magnetic trap. The second part of this dissertation is dedicated to the experiment built to control the atom number of a degenerate Fermi gas on a single particle level. Creating Fock states of atoms with ultra-high fidelity is a mandatory step for studying quantum entan- glement on a single atom level. The experimental technique implemented to control the atom number in this experiment is called laser culling. Decreasing the trapping potential reduces the atom number in a controlled way, giving precise control over the number of atoms remaining in the trap. This dissertation details the design and construction vii
Page 1 and 2: Copyright by Kirsten Viering 2012
Page 3 and 4: Experiments to Control Atom Number
Page 5: Acknowledgments First of all, I wou
Page 9 and 10: Table of Contents Acknowledgments v
Page 11 and 12: Chapter 7. Lithium Apparatus 92 7.1
Page 13 and 14: List of Tables 2.1 Physical propert
Page 15 and 16: 4.1 Vacuum chamber . . . . . . . .
Page 17 and 18: 7.39 Future vertical axis optics .
Page 19 and 20: The development of techniques to la
Page 21 and 22: Ptorr 10 5 10 6 10 7 10 8 10 9 260
Page 23 and 24: Property Symbol Value Reference Ato
Page 25 and 26: 2.3.2 Hyperfine Structure So far th
Page 27 and 28: The Wigner-Eckhart theorem can be u
Page 29 and 30: The total magnetic moment of an ato
Page 31 and 32: interaction. The shift in the energ
Page 33 and 34: (a) (b) scattering length a 0 Energ
Page 35 and 36: a laser field with frequency ω. Th
Page 37 and 38: Here ω0 is the resonance frequency
Page 39 and 40: Optical molasses do not provide a s
Page 41 and 42: J=1 J=0 -1 Δ σ + σ - σ - 0 +1 -
Page 43 and 44: phase-space density is defined as
Page 45 and 46: which maintains a constant η = U/k
Page 47 and 48: 2.12.1 Saturated Absorption Spectro
Page 49 and 50: Figure 2.22: Saturation absorption
Page 51 and 52: Signal 0 Signal (a) (b) Signal Freq
Page 53 and 54: (a) (b) (c) (d) Figure 2.24: Absorp
Page 55 and 56: y more complex energy level structu
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ight side of the box. An irreversib
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time (a) (b) (c) Figure 3.3: Single
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them to move from B to A, but close
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Figure 4.1: Vacuum chamber. Photogr
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( ( Figure 4.3: Helicoflex seal. (a
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88 mm 4.2.3 Auxiliary Coils 62 mm Q
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5 2 P 3/2 5 2 S 1/2 384. 230 484 46
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distribution of the MOT master lase
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shifts. First a frequency shift of
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transition. However, the laser freq
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4.3.1.4 Upper MOT Horizontal Slave
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provides the beam for the upper MOT
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demon beam λ λ horizontal MOT bea
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scholar, Florian Schreck. It is wri
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Atoms are then optically pumped to
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ferred into the |F = 1,mF = 0〉 or
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5.2 Branching Ratios and Population
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effect of the reflected beam at zer
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y the repulsive trough beams, gaini
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Figure 5.9: Atom number as a functi
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Figure 5.10: Radius of the magnetic
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on the collision rate of atoms insi
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ferred via the single-photon coolin
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By comparison an atomic Fock state
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of atoms in the two hyperfine groun
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difference in the lifetimes is dete
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Chapter 7 Lithium Apparatus Creatin
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angle valve rotary feedthrough ion
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an ion gauge controller (Granville
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viewports (MDC, 450002) are attache
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not trapped by the MOT impinge on t
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Should contamination of the vacuum
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Figure 7.12: The assembled Zeeman s
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7.2.2 MOT Coils A second set of coi
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BGauss 250 200 150 100 50 30 20 10
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are required to create the high mag
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The coils are then checked for shor
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+ B A Figure 7.23: Feshbach coil H-
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ensure that no particulates build u
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118 Figure 7.26: Optical layout of
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The error signal shows three lines,
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into the CO2 laser. The optical lay
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Thorlabs PDA10A Coupler ZDC-10-1 to
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Imaging ber Imaging ber from Imagin
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Table 7.4 summarizes the beam power
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CO2 laser 40 MHz AOM f=2 in f=2 in
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132 Figure 7.38: Optical layout aro
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Feshbach coil objective lenses atom
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MOT beams are no longer traveling a
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The second card (NI6733) offers eig
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Averaging over the magnetic subleve
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2 2 P 3/2 D 2=670.977nm 2 2 S 1/2 m
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The right hand side of equation 7.1
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= E0 1 −n2 √2 exp σ0 ± iE0
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esidual potentials besides gravitat
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Figure 8.1: MOT loading. Typical lo
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A linear ramp typically changes the
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A typical MOT is density-limited at
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ubidium [113-115] and cesium[116].
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that most of the noise is due to th
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(a) (c) y . x z X=0.0mm Z=2.5mm 1)
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Figure 8.11: Different shapes of MO
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ZnSe lens f=5 in knife edge ZnSe wi
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shown in figure 8.13. By matching t
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Figure 8.15: Atom number and temper
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275 Hz. Using these values the beam
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system. Maybe the easiest way to ac
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Appendix A Magic Wavelength of Hydr
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transitions for the excited state p
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Bibliography [1] J.J. Thomson. Cath
Page 197 and 198:
[22] C.J. Foot. Atomic Physics. Oxf
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[46] E.D. Black. An introduction to
Page 201 and 202:
[67] J.L. Hanssen. Controlling Atom
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[88] D.S. Naik, C.G. Peterson, A.G.
Page 205 and 206:
[110] J.W. Goodman. Introduction to
Page 207:
[132] C. Degenhardt, H. Stoehr, U.
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