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Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble
Open accessAbstract
We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Néel states as initial states. We investigate numerically various short-ranged spin correlators in the long-time limit and find that they deviate significantly from predictions based on the generalized Gibbs ensemble (GGE) hypotheses. By computing the asymptotic spin correlators within the recently proposed quench-action formalism [Phys. Rev. Lett. 110, 257203 (2013)], however, we find excellent agreement with the numerical data. We, therefore, conclude that the GGE cannot give a complete description even of local observables, while the quench-action formalism correctly captures the steady state in this case.
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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
Quench 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
- Pozsgay, B., Mestyán, M., Werner, M. A., Kormos, M., Zaránd, G., & Takács, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-09-09
- Volume
- 113
- Issue
- 11
- Pages
- 117203-117203
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2086591223
- Cited by
- 343
- References
- 2
- FWCI
- 27.29
- Type
- journal article
- Language
- en
- Open access
- green
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- Pozsgay, B., Mestyán, M., Werner, M. A., Kormos, M., Zaránd, G., & Takács, G. (2014). Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble. Physical Review Letters. https://doi.org/10.1103/physrevlett.113.117203
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