A rigorous version of quantization of transported charge in mnay-body systems.
Event Date:
2020-02-04T16:00:00
2020-02-04T17:00:00
Event Location:
Hennings 309
Speaker:
Wojciech de Roeck, Katholieke Universiteit Leuven, Belgium
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Intended Audience:
Graduate
Local Contact:
Robert Raussendorf, Sven Bachmann (Math)
Event Information:
We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional groundstate sector. The index is fractional with the denominator given by p. In particular, this yields a new short proof of the quantization of the Hall conductance and of Lieb-Schulz-Mattis theorem. In the case that the index is non-integer, the argument provides an explicit construction of Wilson-loop operators exhibiting a non-trivial braiding and that can be used to create fractionally charged Abelian anyons.
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2020-02-04T16:00:00
2020-02-04T17:00:00
A rigorous version of quantization of transported charge in mnay-body systems.
Event Information:
We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional groundstate sector. The index is fractional with the denominator given by p. In particular, this yields a new short proof of the quantization of the Hall conductance and of Lieb-Schulz-Mattis theorem. In the case that the index is non-integer, the argument provides an explicit construction of Wilson-loop operators exhibiting a non-trivial braiding and that can be used to create fractionally charged Abelian anyons.
Event Location:
Hennings 309