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Artificial Gauge Fields with Ultracold Atoms in Optical Lattices (Hardcover, 1st ed. 2016)
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Artificial Gauge Fields with Ultracold Atoms in Optical Lattices (Hardcover, 1st ed. 2016)
Series: Springer Theses
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This work reports on the generation of artificial magnetic fields
with ultracold atoms in optical lattices using laser-assisted
tunneling, as well as on the first Chern-number measurement in a
non-electronic system. It starts with an introduction to the
Hofstadter model, which describes the dynamics of charged particles
on a square lattice subjected to strong magnetic fields. This model
exhibits energy bands with non-zero topological invariants called
Chern numbers, a property that is at the origin of the quantum Hall
effect. The main part of the work discusses the realization of
analog systems with ultracold neutral atoms using
laser-assisted-tunneling techniques both from a theoretical and
experimental point of view. Staggered, homogeneous and
spin-dependent flux distributions are generated and characterized
using two-dimensional optical super-lattice potentials.
Additionally their topological properties are studied via the
observation of bulk topological currents. The experimental
techniques presented here offer a unique setting for studying
topologically non-trivial systems with ultracold atoms.
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