In his seminal work, Thouless considered the evolution of a non-interacting electron gas under periodic driving and showed that the charge transported in a cycle is quantized provided the Fermi energy remains in a spectral gap throughout the evolution. In this talk, we will consider periodic transformations of states of locally interacting matter, which are both invariant under a compact group G and short range entangled. I will explain that a quantized $G$-charge is pumped during each cycle. Moreover, the pumping is stable under deformations of the loops, and two loops pumping the same charge can be deformed into each other. I will further relate this work to the classification of symmetry protected states.
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2023-03-16T14:00:002023-03-16T15:00:00Classifying topological quantum pumpsEvent Information:
Abstract:
In his seminal work, Thouless considered the evolution of a non-interacting electron gas under periodic driving and showed that the charge transported in a cycle is quantized provided the Fermi energy remains in a spectral gap throughout the evolution. In this talk, we will consider periodic transformations of states of locally interacting matter, which are both invariant under a compact group G and short range entangled. I will explain that a quantized $G$-charge is pumped during each cycle. Moreover, the pumping is stable under deformations of the loops, and two loops pumping the same charge can be deformed into each other. I will further relate this work to the classification of symmetry protected states.
Event Location:
HENN 318