The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Quantum Quench in the Transverse-Field Ising Chain
Open accessAbstract
We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.
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Cites
Thermalization and its mechanism for generic isolated quantum systems
Rigol, M., Dunjko, V., & Olshanii, M. (2008) · Nature · doi:10.1038/nature06838 · Cited by 3,065
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Rigol, M., Dunjko, V., Yurovsky, V., & Olshanii, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.050405 · Cited by 1,578
Evolution of entanglement entropy in one-dimensional systems
Calabrese, P., & Cardy, J. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/04/p04010 · Cited by 1,295
Self-citationCollapse and revival of the matter wave field of a Bose–Einstein condensate
Greiner, M., Mandel, O., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/nature00968 · Cited by 1,219
Time Dependence of Correlation Functions Following a Quantum Quench
Calabrese, P., & Cardy, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.136801 · Cited by 1,190
Self-citationForm Factors in Completely Integrable Models of Quantum Field Theory
Smirnov, F. A. (1992) · Advanced Series in Mathematical Physics · doi:10.1142/1115 · Cited by 917
Statistical Mechanics of theXYModel. II. Spin-Correlation Functions
Barouch, E., & McCoy, B. M. (1971) · Physical Review A · doi:10.1103/physreva.3.786 · Cited by 826
Non-equilibrium coherence dynamics in one-dimensional Bose gases
Hofferberth, S., Lesanovsky, I., Fischer, B., Schumm, T., & Schmiedmayer, J. (2007) · Nature · doi:10.1038/nature06149 · Cited by 791
Quantum quenches in extended systems
Calabrese, P., & Cardy, J. (2007) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2007/06/p06008 · Cited by 658
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Cited by
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D'Alessio, L., Kafri, Y., Polkovnikov, A., & Rigol, M. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1198134 · Cited by 2,330
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
Self-citationTime Evolution of Local Observables After Quenching to an Integrable Model
Caux, J.-S., & Essler, F. H. L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.257203 · Cited by 566
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Metadata
- Authors
- Calabrese, P., Essler, F. H. L., & Fagotti, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-06-02
- Volume
- 106
- Issue
- 22
- Pages
- 227203-227203
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2081153753
- Cited by
- 688
- References
- 46
- FWCI
- 24.15
- Type
- journal article
- Language
- en
- Open access
- green
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- Calabrese, P., Essler, F. H. L., & Fagotti, M. (2011). Quantum Quench in the Transverse-Field Ising Chain. Physical Review Letters. https://doi.org/10.1103/physrevlett.106.227203
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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