Antiferromagnetic spinor condensates in microwave dressing fields and optical lattices

In this thesis, I present the design and construction of several experimental parts, e.g., a spin-flip Zeeman slower, a fast feedback circuit, and some magnetic field driving circuits. An efficient method of optimizing the slower with our simulation program is explained. I also demonstrate how the efficiency of a slower strongly depends on a few of its intrinsic parameters, such as the intensity of the slowing laser beam and the length of each section in the slower. These findings lead to a simple three-step procedure of designing an optimal Zeeman slower for neutral atoms, especially for those atomic species with high initial velocities, for example lithium atoms.;In addition, we experimentally study spin dynamics of a sodium antiferromagnetic spinor condensate as a result of spin-dependent interactions c and microwave dressing field interactions characterized by the net quadratic Zeeman effect qnet. In contrast to magnetic fields, microwave dressing fields enable us to access both negative and positive values of qnet. We find an experimental signature to determine the sign of qnet, and observe harmonic spin population oscillations at every qnet except near each separatrix in phase space where spin oscillation period diverges. No spin domains and spatial modes are observed in our system. Our data in the negative qnet region exactly resembles what is predicted to occur in a ferromagnetic spinor condensate in the positive qnet region. This observation agrees with an important prediction derived from the mean-field theory: spin dynamics in spin-1 condensates substantially depends on the sign of qnet/ c. This work may be the first to use only one atomic species to reveal mean-field spin dynamics, especially the remarkably different relationship between each separatrix and the magnetization, of spin-1 antiferromagnetic and ferromagnetic spinor condensates.;Furthermore, we experimentally demonstrate that spin dynamics and the phase diagram of spinor condensates can be conveniently tuned by a two-dimensional optical lattice. Spin population oscillations and a lattice-tuned separatrix in phase space are observed in every lattice where a substantial superfluid fraction exists. In a sufficiently deep lattice, we observe a phase transition from a longitudinal polar phase to a broken-axisymmetry phase in steady states of lattice-confined spinor condensates. The steady states are found to depend sigmoidally on the lattice depth and exponentially on the magnetic field. we also introduce a phenomenological model that semi-quantitatively describes our data without adjustable parameters.;In addition, I will discuss immediate applications of spinor BECs in quantum information science.