Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Abstract:Matrix product states (MPS) provide a powerful framework for characterizing one-dimensional symmetry-protected topological (SPT) phases of matter and for formulating Lieb-Schultz-Mattis (LSM)-type constraints. Here we generalize the MPS formalism to translationally invariant systems with general modulated symmetries. We show that the standard symmetry "push-through" condition for conventional global symmetry must be revised to account for symmetry modulation, and we derive the appropriate generalized condition. Using this generalized push-through structure, we classify one-dimensional SPT phases with modulated symmetries and formulate LSM-type constraints within the same MPS-based framework.

Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2603.19189 [cond-mat.str-el]

(or arXiv:2603.19189v2 [cond-mat.str-el] for this version)

https://doi.org/10.48550/arXiv.2603.19189 Focus to learn more arXiv-issued DOI via DataCite

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