Intro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Preamble; References; 2 Introduction and Theoretical Basics; 2.1 The Interacting 1d Bose Gas; 2.1.1 Lieb-Liniger Model; 2.1.2 Effective Description for Quasi-condensates; 2.1.3 Coupled Quasi-condensates; 2.2 From 3d to 1d; 2.2.1 Effective 1d Interaction Strength; 2.2.2 Transverse Broadening; 2.2.3 Collisions; 2.3 Numerical Methods; 2.3.1 Discretized Luttinger Liquid; 2.3.2 Gross-Pitaevskii Equation; References; 3 Experimental Setup and Probing; 3.1 Trapping and Cooling Neutral Atoms; 3.1.1 Magnetic Trapping

3.1.2 Wire Traps3.1.3 Radio-Frequency Dressed State Potentials; 3.1.4 Optical Dipole Potentials; 3.1.5 Evaporative Cooling; 3.2 Experimental Setup; 3.2.1 Overview; 3.2.2 Atom Chip Trap; 3.2.3 Box Trap; 3.3 Probing; 3.3.1 Time-of-Flight Expansion; 3.3.2 Absorption Imaging; 3.3.3 Density Ripple Thermometry; 3.3.4 Relative Phase Measurement; 3.3.5 Contrast Distribution Thermometry; 3.3.6 Balance Measurement; References; 4 Cooling Through Uniform Loss; 4.1 Experimental Observation; 4.2 Outcoupling Process; 4.3 Theoretical Model; 4.3.1 Loss Cooling; 4.3.2 Trap Effects; 4.3.3 Non-thermal States

4.3.4 Shot Noise Corrections4.4 Discussion; References; 5 Recurrences; 5.1 Dispersion Relation and Rephasing; 5.2 Experimental Implementation; 5.2.1 Measurement Scheme; 5.2.2 Results; 5.2.3 Non-recurring Zero Mode; 5.2.4 Common Density Dynamics; 5.3 Theoretical Description; 5.4 Damping; 5.4.1 Sources; 5.4.2 Theoretical Modeling; 5.4.3 Discussion; 5.5 Harmonic Trap; 5.6 Conclusion; References; 6 Outlook; 6.1 Arbitary 1d Potentials; References; A Transverse Broadening Corrections; B Radial GPE Simulations; C Bootstrap