Side coupling of free spins to Ising models on lattices fragments the Hilbert space into exponentially many decoupled sectors at resonance between transverse field and coupling, inducing quantum scars.
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In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.
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Hilbert space fragmentation in quantum Ising systems induced by side coupling
Side coupling of free spins to Ising models on lattices fragments the Hilbert space into exponentially many decoupled sectors at resonance between transverse field and coupling, inducing quantum scars.
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Entanglement Growth from Structured Initial States in Many-Body Localized Systems
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.