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Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
Open accessAbstract
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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Cites
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
Bethe, H. (1931) · Zeitschrift f�r Physik · doi:10.1007/bf01341708 · Cited by 3,768
Light-cone-like spreading of correlations in a quantum many-body system
Cheneau, M., Barmettler, P., Poletti, D., Endres, M., Schauß, P., Fukuhara, T., Gross, C., Bloch, I., Kollath, C., & Kuhr, S. (2012) · Nature · doi:10.1038/nature10748 · Cited by 864
Cited by
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Transport in Out-of-EquilibriumXXZChains: Exact Profiles of Charges and Currents
Bertini, B., Collura, M., De Nardis, J., & Fagotti, M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.207201 · Cited by 852
Self-citationQuench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Metadata
- Authors
- Wouters, B., De Nardis, J., Brockmann, M., Fioretto, D., Rigol, M., & Caux, J.-S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-09-09
- Volume
- 113
- Issue
- 11
- Pages
- 117202-117202
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2107715957
- Cited by
- 358
- References
- 2
- FWCI
- 27.62
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Wouters, B., De Nardis, J., Brockmann, M., Fioretto, D., Rigol, M., & Caux, J.-S. (2014). Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions. Physical Review Letters. https://doi.org/10.1103/physrevlett.113.117202
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