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Topological Quantum Computing Open Quantum Systems Decoherence

Twin Phases: Phase Transitions Without Hidden Symmetry Breaking

arXiv
Authors: Alison Warman, Yuhan Gai, Sakura Schafer-Nameki

Year

2026

Paper ID

68053

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

0

Abstract

We introduce the concept of twin phases for a symmetry mathcal{S}, defined as inequivalent phases, whose order parameters are part of the same generalized charge under mathcal{S}. Stable, direct transitions between such twin phases are never spontaneous-symmetry-breaking transitions, even after (partially) gauging the initial symmetry mathcal{S}: they are phase transitions without hidden symmetry breaking. We illustrate this with an (anomalous) finite group symmetry in 1+1d, which exhibits such intrinsically beyond Landau transitions.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We introduce the concept of twin phases for a symmetry mathcalS, defined as inequivalent phases, whose order parameters are part of the same generalized charge under mathcalS.

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