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Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices.

It is shown that for two atomic spin states with opposite magnetic moments, the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms naturally realizes the time-reversal-symmetric Hamiltonian underlying the quantum spin Hall effect.
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Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms

Chern numbers characterize the quantum Hall effect conductance—non-zero values are associated with topological phases. Previously only spotted in electronic systems, they have now been measured in…
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Observation of chiral currents with ultracold atoms in bosonic ladders

Engineering optical lattices with laser-induced tunnelling amplitudes has enabled the realization of artificial magnetic fields with remarkable tunability. Here, we report on the observation of…
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A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice

Topological charge pumping enables the transport of charge through an adiabatic cyclic evolution of the underlying Hamiltonian. In contrast to classical transport, the transported charge is quantized…
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Exploring 4D quantum Hall physics with a 2D topological charge pump

These findings pave the way to experimentally probing higher-dimensional quantum Hall systems, in which additional strongly correlated topological phases, exotic collective excitations and boundary phenomena such as isolated Weyl fermions are predicted.
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Power-law decay of the spatial correlation function in exciton-polariton condensates

The results indicate that Berezinskii–Kosterlitz–Thouless-like phase order survives in open-dissipative systems and to clarify the influence of external noise on spatial coherence in nonequilibrium phase transitions.
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Spin Pumping and Measurement of Spin Currents in Optical Superlattices.

A novel detection method to measure spin currents in optical lattices via superexchange oscillations emerging after a projection onto static double wells and directly verify spin transport through in situ measurements of the spins' center-of-mass displacement is demonstrated.
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Topological charge pumping in the interacting bosonic Rice-Mele model

We investigate topological charge pumping in a system of interacting bosons in the tight-binding limit, described by the Rice-Mele model. An appropriate topological invariant for the many-body case…
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Revealing the topology of Hofstadter bands with ultracold bosonic atoms

Topological charge pumping with ultracold bosonic atoms in optical superlattices

Elektrische Strome werden ublicherweise durch eine externe Spannung hervorgerufen, die zu einem dissipativen Ladungstransport in Richtung des Gradienten fuhrt. Schon in der Antike war jedoch bekannt,…
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