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 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.
Non-reciprocal coupling of two Ising gauge theories yields linear asymptotic Wilson loop scaling with tunable confinement length, self-avoiding quasiparticle trails on critical percolation clusters, and non-reciprocity-tuned logarithmic noise contributions plus long-lived trapped states.
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.
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.
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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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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Non-reciprocal Ising gauge theory
Non-reciprocal coupling of two Ising gauge theories yields linear asymptotic Wilson loop scaling with tunable confinement length, self-avoiding quasiparticle trails on critical percolation clusters, and non-reciprocity-tuned logarithmic noise contributions plus long-lived trapped states.
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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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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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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
- Quantum Quenches that Resemble Operator Growth