Physics of Ultracold Quantum Gases

Chapter 1 Introduction
References
Part Ⅰ TOWARD STRONGLY CORRELATED SYSTEMS

Chapter 2 Atomic Structure
2.1 Electronic levels of alkali-metal atoms
2.2 Fine structure
2.3 Hyperfinc structure
2.4 Zeeman effect

Chapter 3 Atom-Light Interaction
3.1 Atom-light interaction Hamiltonian
3.2 Spontaneous emission
3.3 Stimulated absorption and emission
3.3.1 Rabi oscillation
3.3.2 Energy shifts
3.4 The optical Bloch equations
3.4.1 Density matrix
3.4.2 Steady-state solutions
3.5 Light forces on atoms
References

Chapter 4 Laser Cooling and Trapping
4.1 Beam deceleration
4.2 Doppler cooling
4.3 Evaporative cooling
4.4 Magnetic trapping
4.5 Optical trapping
References

Chapter 5 Interaction Between Atoms
5.1 Interaction potential between alkali-metal atoms
5.2 Two-atom scattering in free space
5.3 Effective interaction
5.3.1 Bethe-Peierls boundary condition
5.3.2 Huang-Yang pseudopotential
5.3.3 Contact potential with renormalization
References

Chapter 6 Feshbach Resonance
6.1 Basic physics of Feshbach resonance
6.2 Magnetic Feshbach resonance
6.3 Optical Feshbach resonance
References

Part Ⅱ ULTRACOLD FERMI GASES

Chapter 7 Background and Experimental Achievements
7.1 Brief introduction to experimental achievements
7.2 BCS-BEC crossover
7.3 Overview
References

Chapter 8 BCS-BEC Crossover
8.1 Cooper instability
8.2 BCS theory
8.3 Description of BCS-BEC crossover on the mean-field level
8.4 Feshbach resonance and the two-channel model
8.5 Narrow Feshbach resonance
8.6 BCS-BEC crossover in a harmonic trapping potential
……
Chapter 9 Beyond-Mean-Field Descriptions
Chapter 10 Polarized Fermi Gas
Chapter 11 Synthetic Gange Field
Chapter 12 Optical Lattice and Band Structure
Chapter 13 Simulation of Bose-Hubberard Model
Chapter 14 Dynamical Process
Chapter 15 Disordered Systems
Chapter 16 Simulation of Spin Systems