The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
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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.
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
Nonsymmorphic 1D four-band models with Kramers degeneracy support Z2 and Z4 invariants computed via extended open-path winding numbers, realized in topolectric circuits whose impedance reproduces phase boundaries and zero-energy modes that remain pinned under minimal disorder.
A protocol using emergent Hamiltonians enables storage of Bell-product and GHZ entangled states by making them exact eigenstates of a local Hamiltonian.
Random spin-orbit coupling systematically lowers the quantum percolation threshold in site-diluted honeycomb lattices while shifting the critical behavior toward the two-dimensional symplectic universality class.
In finite 2D disordered systems, Anderson localization at low energies coexists with quantum scarring at higher energies due to energy-dependent localization lengths and finite-size effects, producing observable signatures in intensity patterns and spectral statistics.
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
The study finds that the spectral form factor in the closed Dicke model deviates from Poissonian expectations in the regular regime unless spin sizes are very large, while the dissipative spectral form factor in the open model with cavity damping shows robust quadratic dip-ramp-plateau behavior in a
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Proof of the absence of local conserved quantities in the Holstein model
The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
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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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Emergent prethermal Bethe integrability in a periodically driven Rydberg chain
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
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One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
Nonsymmorphic 1D four-band models with Kramers degeneracy support Z2 and Z4 invariants computed via extended open-path winding numbers, realized in topolectric circuits whose impedance reproduces phase boundaries and zero-energy modes that remain pinned under minimal disorder.
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From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
A protocol using emergent Hamiltonians enables storage of Bell-product and GHZ entangled states by making them exact eigenstates of a local Hamiltonian.
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Quantum percolation in honeycomb lattices under random spin-orbit coupling
Random spin-orbit coupling systematically lowers the quantum percolation threshold in site-diluted honeycomb lattices while shifting the critical behavior toward the two-dimensional symplectic universality class.
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Coexistence of Anderson Localization and Quantum Scarring in Two Dimensions
In finite 2D disordered systems, Anderson localization at low energies coexists with quantum scarring at higher energies due to energy-dependent localization lengths and finite-size effects, producing observable signatures in intensity patterns and spectral statistics.
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Optimal quantum reservoir learning in proximity to universality
A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.
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Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
The study finds that the spectral form factor in the closed Dicke model deviates from Poissonian expectations in the regular regime unless spin sizes are very large, while the dissipative spectral form factor in the open model with cavity damping shows robust quadratic dip-ramp-plateau behavior in a