# On adiabatic cycles of quantum spin systems

@inproceedings{Shiozaki2021OnAC, title={On adiabatic cycles of quantum spin systems}, author={Ken Shiozaki}, year={2021} }

Motivated by the Ω-spectrum proposal of unique gapped ground states by Kitaev [1], we study adiabatic cycles in gapped quantum spin systems from various perspectives. We give a few exactly solvable models in one and two spatial dimensions and discuss how nontrivial adiabatic cycles are detected. For one spatial dimension, we study the adiabatic cycle in detail with the matrix product state and show that the symmetry charge can act on the space of matrices without changing the physical states…

## 3 Citations

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