Gauging Quantum Phases: A Matrix Product State Approach

• URL: http://arxiv.org/abs/2504.14380v2
• Date: Fri, 05 Sep 2025 12:02:55 GMT
• Title: Gauging Quantum Phases: A Matrix Product State Approach
• Authors: David Blanik, José Garre-Rubio, Norbert Schuch,
• Abstract summary: We investigate gauging as a method for exploring quantum phases of matter.<n>Specifically, we describe how symmetry-protected topological (SPT) phases and spontaneous symmetry breaking ( SSB) phases behave under twisted gauging.<n>We conjecture a precise correspondence between SSB and non-MNC SPT phases, possibly enabling the detection of such phases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Utilizing the framework of matrix product states, we investigate gauging as a method for exploring quantum phases of matter. Specifically, we describe how symmetry-protected topological (SPT) phases and spontaneous symmetry breaking (SSB) phases in one-dimensional spin systems behave under twisted gauging, a generalization of the well-known gauging procedure for globally symmetric states. Compared to previous, order parameter-based, approaches our analysis is not limited to the case of maximally non-commutative (MNC) phases and we use our findings to propose a generalization of the Kennedy-Tasaki transformation to the non-MNC setting. A key result of our work is that gauging produces configurations characterized by a combination of MNC order and symmetry breaking, when applied to non-MNC SPT phases. More generally, we conjecture a precise correspondence between SSB and non-MNC SPT phases, possibly enabling the detection of such phases using local and string order parameters.

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