Bose-Einstein Condensation in Dilute Gases Book

	Preface
1	Introduction	1
1.1	Bose-Einstein condensation in atomic clouds	4
1.2	Superfluid [superscript 4]He	6
1.3	Other condensates	8
1.4	Overview	10
2	The non-interacting Bose gas	16
2.1	The Bose distribution	16
2.2	Transition temperature and condensate fraction	21
2.3	Density profile and velocity distribution	24
2.4	Thermodynamic quantities	29
2.5	Effect of finite particle number	35
2.6	Lower-dimensional systems	36
3	Atomic properties	40
3.1	Atomic structure	40
3.2	The Zeeman effect	44
3.3	Response to an electric field	49
3.4	Energy scales	55
4	Trapping and cooling of atoms	58
4.1	Magnetic traps	59
4.2	Influence of laser light on an atom	67
4.3	Laser cooling: the Doppler process	74
4.4	The magneto-optical trap	78
4.5	Sisyphus cooling	81
4.6	Evaporative cooling	90
4.7	Spin-polarized hydrogen	96
5	Interactions between atoms	102
5.1	Interatomic potentials and the van der Waals interaction	103
5.2	Basic scattering theory	107
5.3	Scattering length for a model potential	114
5.4	Scattering between different internal states	120
5.5	Determination of scattering lengths	139
6	Theory of the condensed state	146
6.1	The Gross-Pitaevskii equation	146
6.2	The ground state for trapped bosons	149
6.3	Surface structure of clouds	158
6.4	Healing of the condensate wave function	161
7	Dynamics of the condensate	165
7.1	General formulation	165
7.2	Elementary excitations	171
7.3	Collective modes in traps	178
7.4	Surface modes	193
7.5	Free expansion of the condensate	195
7.6	Solitons	196
8	Microscopic theory of the Bose gas	204
8.1	Excitations in a uniform gas	205
8.2	Excitations in a trapped gas	214
8.3	Non-zero temperature	218
8.4	Collisional shifts of spectral lines	230
9	Rotating condensates	238
9.1	Potential flow and quantized circulation	238
9.2	Structure of a single vortex	240
9.3	Equilibrium of rotating condensates	249
9.4	Vortex motion	254
9.5	The weakly-interacting Bose gas under rotation	257
10	Superfluidity	264
10.1	The Landau criterion	265
10.2	The two-component picture	267
10.3	Dynamical processes	270
10.4	First and second sound	273
10.5	Interactions between excitations	280
11	Trapped clouds at non-zero temperature	289
11.1	Equilibrium properties	290
11.2	Collective modes	298
11.3	Collisional relaxation above T[subscript c]	306
12	Mixtures and spinor condensates	320
12.1	Mixtures	321
12.2	Spinor condensates	328