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X-WR-CALDESC:Events for Dirac Materials
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DTSTART:20190331T010000
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DTSTART:20191027T010000
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DTSTART;TZID="Europe/Stockholm":20191122T110000
DTEND;TZID="Europe/Stockholm":20191122T170000
DTSTAMP:20260409T165404
CREATED:20191120T154913Z
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UID:1598-1574420400-1574442000@diracmaterials.org
SUMMARY:Kazuki Ikeda (Osaka) - Mathematics and Physics of Hofstadter Butterfly\, and Quantum Computation 
DESCRIPTION:Speaker: Kazuki Ikeda from Osaka university.\nTitle: Mathematics and Physics of Hofstadter Butterfly\,\nand Quantum Computation\n\nAbstract:\nQuantum Hall effect (QHE) is one of the most important phenomena in condensed matter physics\, high energy physics\, and mathematical physics. Especially QHE is the crucial for the recent advances in symmetry protected topological phase and topological quantum computation. In my talk\, I’ll explain the mathematics and physics of QHE by the following plan.\n\nIn part 1\, I explain mathematical foundation of quantum Hall effect and Hofstadter butterfly from a viewpoint of the Langlands program\, which is the “grand unification theory” of mathematics. In part 2\, I address the Hofstadter problem on a lattice with defects. I show the energy spectra associated with the localised current around the defect appear in the energy gaps of fractal butterfly. In part 3\, I describe application of adiabatic quantum computation to the material search.\n
URL:http://diracmaterials.org/calendar2/kazuki-ikeda-osaka-mathematics-and-physics-of-hofstadter-butterfly-and-quantum-computation/
LOCATION:NORDITA // South  (Meeting Room 112.006B)\, Roslagstullsbacken 23\, Stockholm\, 106 91\, Sweden
CATEGORIES:Talks
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