Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
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Abstract
We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the first-principles-based quench-action method allows us to give an exact description of the postquench steady state in the thermodynamic limit. We show that a generalized Gibbs ensemble, implemented using all known local conserved charges, fails to reproduce the exact quench-action steady state and to correctly predict postquench equilibrium expectation values of physical observables. This is supported by numerical linked-cluster calculations within the diagonal ensemble in the thermodynamic limit.
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The record
- Venue
- Physical Review Letters
- Topic
- Quantum many-body systems
- Field
- Physics and Astronomy
- Canadian institutions
- —
- Funders
- Nederlandse Organisatie voor Wetenschappelijk OnderzoekOffice of Naval ResearchInstitut Périmètre de physique théoriqueCity University of New York
- Keywords
- Canonical ensembleThermodynamic limitPhysicsObservableHamiltonian (control theory)Ising modelDiagonalAnisotropyAntiferromagnetismIntegrable systemStatistical physicsLimit (mathematics)Heisenberg modelQuantum mechanicsMathematical physicsMonte Carlo methodMathematicsMathematical analysis
- Has abstract in OpenAlex
- yes