The interacting Anderson Quantum Sun model exhibits unconventional regimes featuring volume-law entanglement with intermediate spectral statistics and Poisson statistics with sub-volume entanglement growth.
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Conjecture that the Hausdorff dimension of the frontier of the SFF random walk approaches 4/3 for chaotic Hamiltonians and 1 for integrable ones, with proofs of Gaussian statistics under Lyapunov conditions on degeneracies and exact moments for unequal-step walks.
Energy-space quantum walks separate classical population equilibration to Gibbs statistics from persistent quantum coherence that prevents full state convergence to the thermal manifold.
Quantum many-body scars in the PXP model display extensive ergotropy that scales with system size and can be charged via coherent rotation resets, enabling their use for quantum many-body batteries.
Exact closed-form size-independent expressions for von Neumann and Rényi entanglement entropies plus Loschmidt echoes are obtained for quench dynamics in the staggered XXZ antiferromagnetic chain in the flat-band limit, validated by IBM-Q simulations.
Quasiperiodic MBL systems host a broad unconventional regime with fat-tailed long-distance correlations and resonant cat states beyond what standard diagnostics detect.
citing papers explorer
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Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
The interacting Anderson Quantum Sun model exhibits unconventional regimes featuring volume-law entanglement with intermediate spectral statistics and Poisson statistics with sub-volume entanglement growth.
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Integrability and Chaos via fractal analysis of Spectral Form Factors: Gaussian approximations and exact results
Conjecture that the Hausdorff dimension of the frontier of the SFF random walk approaches 4/3 for chaotic Hamiltonians and 1 for integrable ones, with proofs of Gaussian statistics under Lyapunov conditions on degeneracies and exact moments for unequal-step walks.
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Energy-space quantum walks: Thermalization without state convergence
Energy-space quantum walks separate classical population equilibration to Gibbs statistics from persistent quantum coherence that prevents full state convergence to the thermal manifold.
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Ergotropy of quantum many-body scars
Quantum many-body scars in the PXP model display extensive ergotropy that scales with system size and can be charged via coherent rotation resets, enabling their use for quantum many-body batteries.
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Quench dynamics of the quantum XXZ chain with staggered interactions: Exact results and simulations on digital quantum computers
Exact closed-form size-independent expressions for von Neumann and Rényi entanglement entropies plus Loschmidt echoes are obtained for quench dynamics in the staggered XXZ antiferromagnetic chain in the flat-band limit, validated by IBM-Q simulations.
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Long-range resonances in quasiperiodic many-body localization
Quasiperiodic MBL systems host a broad unconventional regime with fat-tailed long-distance correlations and resonant cat states beyond what standard diagnostics detect.