Hilbert-space fragmentation selects channels of strong-to-weak spontaneous symmetry breaking

arXiv:2609.26453 · quant-ph, cond-mat.stat-mech, cond-mat.str-el · Submitted 2026-09-22 · Read on arXiv

quant-ph, cond-mat.stat-mech, cond-mat.str-el

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Symmetry Breaking — 23× in this paper · explained in 3 episodes
• Fidelity — 12× in this paper · explained in 2 episodes
• Hilbert Space — 11× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 3 episodes
• Lindblad master equation — 2× in this paper · explained in 2 episodes
• Metastability — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Antiferromagnetic Correlation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Bosonization — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Hybrid System — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Strong-to-Weak Spontaneous Symmetry Breaking
• Strong and weak symmetries and their spontaneous symmetry breaking in mixed states emerging from the quantum Ising model under multiple decoherence
• Quantum Strong-to-Weak Spontaneous Symmetry Breaking in Decohered One Dimensional Critical States
• Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations
• Localization in fractonic random circuits
• Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
• Hilbert space fragmentation in driven-dephasing Rydberg atom array
• Strong-to-weak symmetry breaking in monitored dipole conserving quantum circuits
• Charge Scrambling in Strong-to-Weak Spontaneous Symmetry Breaking
• Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
• Correlation functions of one-dimensional strongly interacting two-component gases
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Local Strong-to-Weak Spontaneous Symmetry Breaking
• A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems
• Measuring polynomial functions of states
• Universal Dynamical Scaling of Strong-to-Weak Spontaneous Symmetry Breaking in Open Quantum Systems
• Strong-to-Weak Symmetry Breaking in Open Quantum Systems: From Discrete Particles to Continuum Hydrodynamics
• Exponentially slow thermalization and the robustness of Hilbert space fragmentation
• Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
• Towards a theory of metastability in open quantum dynamics

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