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.
Emergent SU(2) dynamics and perfect quantum many-body scars
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Motivated by recent experimental observations of coherent many-body revivals in a constrained Rydberg atom chain, we construct a weak quasi-local deformation of the Rydberg blockade Hamiltonian, which makes the revivals virtually perfect. Our analysis suggests the existence of an underlying non-integrable Hamiltonian which supports an emergent SU(2)-spin dynamics within a small subspace of the many-body Hilbert space. We show that such perfect dynamics necessitates the existence of atypical, nonergodic energy eigenstates - quantum many-body scars. Furthermore, using these insights, we construct a toy model that hosts exact quantum many-body scars, providing an intuitive explanation of their origin. Our results offer specific routes to enhancing coherent many-body revivals, and provide a step towards establishing the stability of quantum many-body scars in the thermodynamic limit.
verdicts
UNVERDICTED 2representative citing papers
Review of integrable anyonic chains with new examples identified for su(2)_k, Tambara-Yamagami TY(Z_n), Fib x Fib, Fib x Ising, and preliminary results for Haagerup-Izumi categories.
citing papers explorer
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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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Constrained integrability and anyonic chains
Review of integrable anyonic chains with new examples identified for su(2)_k, Tambara-Yamagami TY(Z_n), Fib x Fib, Fib x Ising, and preliminary results for Haagerup-Izumi categories.