Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Introduces a local one-point fidelity correlator to define SW-SSB, preserving key features like channel stability and long-range conditional mutual information while enabling detection in large and thermodynamic-limit systems.
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
Introduces subdimensional entanglement entropy (SEE) as a probe of geometric-topological responses in quantum phases and establishes a bulk-to-mixed-state holographic correspondence via strong and weak symmetries on subdimensional subsystems.
Proves equivalence of redundant Goldstone and adjoint-matter formulations of SK EFTs for non-Abelian symmetries and extends both to all orders in ħω/T while classifying invariant kernels under DKMS and unitarity.
Coupling frustration-free or commuting-projector Hamiltonians to bosons produces high-temperature Gibbs states that reproduce low-temperature order.
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.
citing papers explorer
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Holographically Emergent Gauge Theory in Symmetric Quantum Circuits
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Local Strong-to-Weak Spontaneous Symmetry Breaking
Introduces a local one-point fidelity correlator to define SW-SSB, preserving key features like channel stability and long-range conditional mutual information while enabling detection in large and thermodynamic-limit systems.
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Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
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Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography
Introduces subdimensional entanglement entropy (SEE) as a probe of geometric-topological responses in quantum phases and establishes a bulk-to-mixed-state holographic correspondence via strong and weak symmetries on subdimensional subsystems.
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Schwinger-Keldysh effective theory of charge transport: redundancies and systematic $\omega/T$ expansion
Proves equivalence of redundant Goldstone and adjoint-matter formulations of SK EFTs for non-Abelian symmetries and extends both to all orders in ħω/T while classifying invariant kernels under DKMS and unitarity.
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Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
Coupling frustration-free or commuting-projector Hamiltonians to bosons produces high-temperature Gibbs states that reproduce low-temperature order.
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Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
Strong symmetries in open quantum systems always break spontaneously to weak symmetry or completely, producing gapless Goldstone modes, charge diffusion, and time crystalline order in some cases.
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Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.