Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
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Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
Floquet circuits can be built to host many-body cages that carry topological features and π-quasienergy modes, producing time-crystalline spatiotemporal order in models such as the quantum hard disk.
Interference-protected subspaces in chaotic spin chains host broad nonthermal phenomena at high energy densities, explained by a quantitative leakage theory that extends weak ergodicity breaking beyond homogeneous scars.
Domain-wall magnetization persists indefinitely in coupled XX chains due to exponentially many chiral symmetry-protected zero modes, with a localization transition at critical interchain coupling.
Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
The paper reviews advances in quantum simulation of out-of-equilibrium dynamics in gauge theories, covering particle production, string breaking, thermalization, and related phenomena.
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Quantum Quenches that Resemble Operator Growth
Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Floquet Many-Body Cages
Floquet circuits can be built to host many-body cages that carry topological features and π-quasienergy modes, producing time-crystalline spatiotemporal order in models such as the quantum hard disk.
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Coherent dynamics in chaotic spin chains via interference-protected subspaces
Interference-protected subspaces in chaotic spin chains host broad nonthermal phenomena at high energy densities, explained by a quantitative leakage theory that extends weak ergodicity breaking beyond homogeneous scars.
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Magnetic domains stabilized by symmetry-protected zero modes
Domain-wall magnetization persists indefinitely in coupled XX chains due to exponentially many chiral symmetry-protected zero modes, with a localization transition at critical interchain coupling.
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Granovskii-Zhedanov Scars of XYZ Models: Modern Algebraic Perspectives and Realization in Higher Dimensional Lattices
Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.
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Localized Fock Space Cages in Kinetically Constrained Models
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
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Quantum simulation of out-of-equilibrium dynamics in gauge theories
The paper reviews advances in quantum simulation of out-of-equilibrium dynamics in gauge theories, covering particle production, string breaking, thermalization, and related phenomena.