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École Normale Supérieure Laborato
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Contents 1 Introduction 7 2 Theory
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Acknowledgments This thesis would n
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Chapter 1 Introduction “The inter
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T c / T F 1 10 -2 10 -4 cold Fe rm
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JILA, where they use magnetic field
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Chapter 2 Theory Da steh’ ich nun
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2.2. A REMINDER ON SCATTERING THEOR
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2.2. A REMINDER ON SCATTERING THEOR
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pote ntial e ne rgy or probability
- Page 21 and 22: 2.3. FESHBACH RESONANCES a total an
- Page 23 and 24: energy / mRy 2.0 1.5 1.0 0.5 0.0 -0
- Page 25 and 26: E / GH z 0,0 -0,5 -1,0 -1,5 -2,0 0
- Page 27 and 28: 2.3. FESHBACH RESONANCES relating t
- Page 29 and 30: 2.3. FESHBACH RESONANCES to fit the
- Page 31 and 32: second quantization, this is writte
- Page 33 and 34: equation (2.30) can easily be calcu
- Page 35 and 36: 2.4. BCS THEORY Using the substitut
- Page 37 and 38: occupation probability 1.0 0.8 0.6
- Page 39 and 40: 2.4. BCS THEORY loose the last smal
- Page 41 and 42: Chapter 3 Experimental setup LASER,
- Page 43 and 44: 3.1. THE VACUUM CHAMBER Figure 3.1:
- Page 45 and 46: 3.2. THE ZEEMAN SLOWER Figure 3.2:
- Page 47 and 48: 3.3 The laser system 3.3. THE LASER
- Page 49 and 50: 2 2 P 3/2 10 GH z 2 2 P 1/2 671 nm
- Page 51 and 52: input to Fabry- Pérot input non-po
- Page 53 and 54: 7 P Am p to m agnetic trap im aging
- Page 55 and 56: atom ic be am pinch coils M O T coi
- Page 57 and 58: 3.5. THE OPTICAL DIPOLE TRAP The he
- Page 59 and 60: heating time / s 10 4 10 3 10 2 10
- Page 61 and 62: Physics laser for the vertical. 3.6
- Page 63 and 64: frequency / MHz 1000 950 900 850 3.
- Page 65 and 66: 3.6. THE COOLING STRATEGY atoms in
- Page 67 and 68: 3.7 MOT imaging 3.7. MOT IMAGING Wh
- Page 69 and 70: 3.8. COMPUTER CONTROL where the cod
- Page 71: from scipy.special import erf from
- Page 75 and 76: 4.1. DETERMINATION OF THE TEMPERATU
- Page 77 and 78: optical density 14 12 10 4.1. DETER
- Page 79 and 80: F T = T r o f e u l a v d e t t i f
- Page 81 and 82: Chapter 5 Experimental results Well
- Page 83 and 84: 5.1. MOMENTUM DISTRIBUTION Now we h
- Page 85 and 86: 2 ¹h = ¹ 2 a m 2 6 5 4 3 2 1 0 -1
- Page 87 and 88: 5.1. MOMENTUM DISTRIBUTION get na 3
- Page 89 and 90: n( k) 3 F k 1.0 0.8 0.6 0.4 0.2 5.2
- Page 91 and 92: n( k) 3 F k 1.0 0.8 0.6 0.4 0.2 0.0
- Page 93 and 94: 5.3. HYDRODYNAMIC EXPANSION where A
- Page 95 and 96: 5.3. HYDRODYNAMIC EXPANSION The sit
- Page 97 and 98: 5.3. HYDRODYNAMIC EXPANSION and tak
- Page 99 and 100: ° 0.67 0.66 0.65 0.64 0.63 0.62 0.
- Page 101 and 102: ellipticity 1.6 1.4 1.2 1.0 0.8 clo
- Page 103 and 104: Ellipticity 1.55 1.50 1.45 1.40 1.3
- Page 105 and 106: ellipticity 1.4 1.3 1.2 1.1 1.0 0.9
- Page 107 and 108: 5.4. MOLECULAR CONDENSATE last sect
- Page 109 and 110: density (a. u.) 70 60 50 40 30 20 1
- Page 111 and 112: E / GH z 0 -1 -2 |1,1〉 ⊗ |1/2,-
- Page 113 and 114: number of atoms / 1000 25 20 15 10
- Page 115 and 116: 5.6. OTHER EXPERIMENTS AND OUTLOOK
- Page 117 and 118: Tem perature T c 0 Sarm a Ph ase 5.
- Page 119 and 120: 5.6. OTHER EXPERIMENTS AND OUTLOOK
- Page 121 and 122: Chapter 6 Conclusions In this thesi
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Cold fermions in optical lattices c
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Appendix A Articles A.1 Experimenta
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VOLUME 93, NUMBER 5 FIG. 1. Onset o
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VOLUME 93, NUMBER 5 gas. The platea
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P-wave Feshbach resonances of ultra
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P-WAVE FESHBACH RESONANCES OF ULTRA
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A.3 Expansion of a lithium gas in t
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Ry/Rx = 2.0(1) is consistent with t
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× ��� ��� �� �
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Bth (G) Bexp (G) 218 not seen 230 2
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Resonant scattering properties clos
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RESONANT SCATTERING PROPERTIES CLOS
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RESONANT SCATTERING PROPERTIES CLOS
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RESONANT SCATTERING PROPERTIES CLOS
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A.5 Expansion of an ultra-cold lith
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2 L. Tarruell, et al. to image the
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4 L. Tarruell, et al. of mean field
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6 L. Tarruell, et al. The starting
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8 L. Tarruell, et al. for 0.5 ms in
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10 L. Tarruell, et al. [11] M. H. A
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Appendix B Bibliography [1] H. VOGE
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[29] M. BARTENSTEIN, A. ALTMEYER, S
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[62] P. NOZIÈRES and S. SCHMITT-RI
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[98] M. MARINI, F. PISTOLESI, and G
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[131] S. STRINGARI, Collective Exci
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173