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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In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.
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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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Nonstabilizerness Mpemba Effects
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
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Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
Quantum quenches in the Ising chain exhibit qualitatively distinct out-of-equilibrium dynamics when crossing continuous versus first-order quantum transitions depending on the transverse field strength.