# The Lieb-Schultz-Mattis Theorem: A Topological Point of View

@inproceedings{Tasaki2022TheLT, title={The Lieb-Schultz-Mattis Theorem: A Topological Point of View}, author={Hal Tasaki}, year={2022} }

We review the Lieb-Schultz-Mattis theorem and its variants, which are no-go theorems that state that a quantum many-body system with certain conditions cannot have a locally-unique gapped ground state. We restrict ourselves to one-dimensional quantum spin systems and discuss both the generalized Lieb-Schultz-Mattis theorem for models with U(1) symmetry and the extended Lieb-Schultz-Mattis theorem for models with discrete symmetry. We also discuss the implication of the same arguments to systems…

## One Citation

From Lieb-Robinson Bounds to Automorphic Equivalence

- Mathematics
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. I review the role of Lieb-Robinson bounds in characterizing and utilizing the locality properties of the Heisenberg dynamics of quantum lattice systems. In particular, I discuss two deﬁnitions of…

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