Gauging Quantum Phases: A Matrix Product State Approach

Autor(en)

David Blanik, José Garre Rubio, Norbert Schuch

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation, Institut für Mathematik

Externe Organisation(en)

Instituto de Física Teórica UAM-CSIC

Seiten

1-23

DOI

https://doi.org/10.48550/arXiv.2504.14380

Publikationsdatum

04-2025

ÖFOS 2012

103036 Theoretische Physik, 103025 Quantenmechanik, 101028 Mathematische Modellierung

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/53a36d8b-a72c-4062-8bad-ebe6e6bd4439