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This review consolidates recent advances in strong-to-weak spontaneous symmetry breaking, offering a unified framework for analyzing phases of matter in open quantum and classical systems. By bridging concepts from topological orders and emergent hydrodynamics with information-theoretic characterizations, the work provides a foundational perspective for researchers in condensed matter physics and quantum information. The paper serves as a comprehensive reference for understanding the theoretical underpinnings of these complex many-body states.
Strong-to-Weak Spontaneous Symmetry Breaking
arXiv:2606.02555v2 Announce Type: replace Abstract: Strong-to-weak spontaneous symmetry breaking (SW-SSB) has recently emerged as a useful framework for studying phases of matter in open systems, quantum or classical. Beginning with the simple idea of extending symmetry breaking to general mixed states, and the familiar equivalence between canonical and grand-canonical ensembles in statistical mechanics, the concept has grown into a unifying perspective connecting many different ideas in physics, including topological orders, emergent hydrodynamics, and information-theoretic characterization of phases of matter. This review provides a bird's-eye view of some of these recent developments.
Abstract:Strong-to-weak spontaneous symmetry breaking (SW-SSB) has recently emerged as a useful framework for studying phases of matter in open systems, quantum or classical. Beginning with the simple idea of extending symmetry breaking to general mixed states, and the familiar equivalence between canonical and grand-canonical ensembles in statistical mechanics, the concept has grown into a unifying perspective connecting many different ideas in physics, including topological orders, emergent hydrodynamics, and information-theoretic characterization of phases of matter. This review provides a bird's-eye view of some of these recent developments.
Review article, to appear in "Annual Review of Condensed Matter Physics". 25 pages
Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el)
arXiv:2606.02555 [quant-ph]
(or arXiv:2606.02555v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.02555 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 198 words