Titlebook: Artificial Gauge Fields with Ultracold Atoms in Optical Lattices; Monika Aidelsburger Book 2016 Springer International Publishing Switzerl

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Harper-Hofstadter Model and Spin Hall Effect,s rise to a uniform flux distribution ., which is described by the famous Harper-Hofstadter Hamiltonian. By exploiting an additional pseudo-spin degree of freedom the setup further implements the time-reversal symmetric Hamiltonian underlying the quantum spin Hall effect. This led to the first exper

大量殺死

All-Optical Setup for Flux Rectification,e potentials. However, observing the global properties of a fully connected 2D lattice in the presence of an artificial magnetic field remained out of reach. In this chapter a new experimental all-optical setup is described which led to the first Chern-number measurement in a non-electronic system.

Lamina

Chern-Number Measurement of Hofstadter Bands,tup discussed in the previous chapter. After appying an external force to the atoms, that were loaded into artificially generated Hofstadter bands, we recorded the evolution of the in-situ center-of-mass position of the atomic cloud. Together with band population measurements we were able to determi

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Square Lattice with Magnetic Field,s in terms of magnetic translation symmetries. The topological properties of the system are further discussed in terms of topological invariants, the Chern numbers, which are directly related to the quantization of the Hall conductivity.

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迎合

Book 2016 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

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