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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Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
Non-Hermitian bosonic chains with symmetric hopping can host k-local charges for selected k only, providing counterexamples to all-or-nothing integrability and showing the Grabowski-Mathieu 3-local test is not universal.
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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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Clifford Ergotropy
Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
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Violating the All-or-Nothing Picture of Local Charges in Non-Hermitian Bosonic Chains
Non-Hermitian bosonic chains with symmetric hopping can host k-local charges for selected k only, providing counterexamples to all-or-nothing integrability and showing the Grabowski-Mathieu 3-local test is not universal.