Martin Teichmann Atomes de lithium-6 ultra froids dans la ... - TEL

More documents

Recommendations

Info

CHAPTER 2. THEORY e ne rgy sh ift / M H z 400 200 F=3/2 -200 -400 0 F=1/2 m F =-1/2 m F =1/2 m F =3/2 m F =-3/2 m F =1/2 m F =-1/2 |6〉 |5〉 |4〉 |3〉 |2〉 |1〉 m I =1 m I =0 m I =-1 m I =-1 m I =0 m I =1 0 5 10 15 20 m agne tic fie ld / m T Figure 2.2: The energy levels of Lithium-6. For low magnetic fields we have a Zeeman effect, the total spin F of the atoms couples to the magnetic field. For high magnetic fields we are in the Paschen-Back regime, where the nuclear spin I and the total electron spin J <strong>de</strong>couple. In the center, we show the usual convention to give a number to each state. 22 m J =1/2 m J =-1/2
energy / mRy 2.0 1.5 1.0 0.5 0.0 -0.5 3 § u energy / mRy -10 -15 l Ec 2.3. FESHBACH RESONANCES -20 0 2 4 6 8 10 12 14 interatomic distance = a -1.0 0 5 10 interatomic distance = a 15 20 Figure 2.3: The two scattering potentials involved in the Lithium-6 Feshbach resonances. 3 Σu is the triplet, and 1 Σg is the singlet state. The singlet state contains bound states. The triplet state can be shifted using a magnetic field. Here, we show a shift down such that the dissociation energy of the triplet potential coinci<strong>de</strong>s with the bound state in the singlet state. This is what happens close to a Feshbach resonance. The binding energy Ec is not to scale, in reality the bound state is so close to dissociation that the difference would not be visible in this graph. The insert shows the overall picture at zero magnetic field. Data adopted from references [51, 52]. 23 10 5 0 -5 1 § g 0 0
Page 1 and 2: École Normale Supérieure Laborato
Page 3 and 4: Contents 1 Introduction 7 2 Theory
Page 5 and 6: Acknowledgments This thesis would n
Page 7 and 8: Chapter 1 Introduction “The inter
Page 9 and 10: T c / T F 1 10 -2 10 -4 cold Fe rm
Page 11 and 12: JILA, where they use magnetic field
Page 13 and 14: Chapter 2 Theory Da steh’ ich nun
Page 15 and 16: 2.2. A REMINDER ON SCATTERING THEOR
Page 17 and 18: 2.2. A REMINDER ON SCATTERING THEOR
Page 19 and 20: pote ntial e ne rgy or probability
Page 21: 2.3. FESHBACH RESONANCES a total an
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 and 72: from scipy.special import erf from
Page 73 and 74:
Chapter 4 Data analysis A correct d
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
Page 123 and 124:
Cold fermions in optical lattices c
Page 125 and 126:
Appendix A Articles A.1 Experimenta
Page 127 and 128:
VOLUME 93, NUMBER 5 FIG. 1. Onset o
Page 129 and 130:
VOLUME 93, NUMBER 5 gas. The platea
Page 131 and 132:
P-wave Feshbach resonances of ultra
Page 133 and 134:
P-WAVE FESHBACH RESONANCES OF ULTRA
Page 135 and 136:
A.3 Expansion of a lithium gas in t
Page 137 and 138:
Ry/Rx = 2.0(1) is consistent with t
Page 139 and 140:
× ��
Page 141 and 142:
Bth (G) Bexp (G) 218 not seen 230 2
Page 143 and 144:
Resonant scattering properties clos
Page 145 and 146:
RESONANT SCATTERING PROPERTIES CLOS
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
A.5 Expansion of an ultra-cold lith
Page 153 and 154:
2 L. Tarruell, et al. to image the
Page 155 and 156:
4 L. Tarruell, et al. of mean field
Page 157 and 158:
6 L. Tarruell, et al. The starting
Page 159 and 160:
8 L. Tarruell, et al. for 0.5 ms in
Page 161 and 162:
10 L. Tarruell, et al. [11] M. H. A
Page 163 and 164:
Appendix B Bibliography [1] H. VOGE
Page 165 and 166:
[29] M. BARTENSTEIN, A. ALTMEYER, S
Page 167 and 168:
[62] P. NOZIÈRES and S. SCHMITT-RI
Page 169 and 170:
[98] M. MARINI, F. PISTOLESI, and G
Page 171 and 172:
[131] S. STRINGARI, Collective Exci
Page 173 and 174:
173
show all

Martin Teichmann Atomes de lithium-6 ultra froids dans la ... - TEL

Create successful ePaper yourself

Delete template?

Save as template?