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• W2019202099 abstract "The integer quantum Hall effect (IQHE) and chaos are commonly conceived as being unrelated. Contrary to common wisdoms, we find in a canonical chaotic system, the kicked spin-$1/2$ rotor, a Planck's quantum($h_e$)-driven phenomenon bearing a firm analogy to IQHE but of chaos origin. Specifically, the rotor's energy growth is unbounded ('metallic' phase) for a discrete set of critical $h_e$-values, but otherwise bounded ('insulating' phase). The latter phase is topological in nature and characterized by a quantum number ('quantized Hall conductance'). The number jumps by unity whenever $h_e$ decreases passing through each critical value. Our findings, within the reach of cold-atom experiments, indicate that rich topological quantum phenomena may emerge from chaos." @default.
• W2019202099 created "2016-06-24" @default.
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• W2019202099 date "2014-11-21" @default.
• W2019202099 modified "2023-10-18" @default.
• W2019202099 title "Planck’s Quantum-Driven Integer Quantum Hall Effect in Chaos" @default.
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• W2019202099 doi "https://doi.org/10.1103/physrevlett.113.216802" @default.
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