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Exploring topological phases with quantum walks
The quantum walk was originally proposed as a quantum-mechanical analog of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show thatExpand
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Controlling spin exchange interactions of ultracold atoms in optical lattices.
We describe a general technique that allows one to induce and control strong interaction between spin states of neighboring atoms in an optical lattice. We show that the properties of spin exchangeExpand
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Robust optical delay lines with topological protection
The robustness of edge states against external influence is a phenomenon that has been successfully applied to electron transport. A study now predicts that the same concept can also lead to improvedExpand
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Direct measurement of the Zak phase in topological Bloch bands
Geometric phases that characterize the topological properties of Bloch bands play a fundamental role in the band theory of solids. Here we report on the measurement of the geometric phase acquired byExpand
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Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of atomic clocks and degenerate quantum gases. At the same time, they are attractingExpand
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Topological Characterization of Periodically-Driven Quantum Systems
Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can alsoExpand
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Relaxation and Prethermalization in an Isolated Quantum System
Prethermalization When a physical system is subjected to a rapid change of conditions (for example, a gas of atoms is allowed to occupy a volume twice the size of the original container), it quicklyExpand
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Fractional quantum Hall states of atoms in optical lattices.
We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a chargedExpand
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Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
In this paper, we study transport properties of non-equilibrium systems under the application of light in many-terminal measurements, using the Floquet picture. We propose and demonstrate that theExpand
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Observation of topologically protected bound states in photonic quantum walks
Topological phenomena in physical systems are a direct consequence of the topology of the underlying wave-functions and are robust against perturbations; for example, the Hall conductance induced byExpand
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