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The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective
Open accessAbstract
It can be shown that the dynamics of the Landau-Zener model can be accurately described in terms of the Kibble-Zurek theory of the topological defect production in nonequilibrium phase transitions. The simplest quantum model exhibiting the Kibble-Zurek mechanism is presented. A new intuitive description of Landau-Zener dynamics is found.
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Citations
Cites
Non-adiabatic crossing of energy levels
Zener, C. (1932) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1932.0165 · Cited by 4,572
Cited by
Landau–Zener–Stückelberg interferometry
Shevchenko, S. N., Ashhab, S., & Nori, F. (2010) · Physics Reports · doi:10.1016/j.physrep.2010.03.002 · Cited by 821
Dynamics of a quantum phase transition and relaxation to a steady state
Dziarmaga, J. (2010) · Advances in Physics · doi:10.1080/00018732.2010.514702 · Cited by 717
Quantum Phase Transition and Universal Dynamics in the Rabi Model
Hwang, M.-J., Puebla, R., & Plenio, M. B. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.180404 · Cited by 441
Universality of phase transition dynamics: Topological defects from symmetry breaking
del Campo, A., & Zurek, W. H. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x1430018x · Cited by 364
Cincio, L., Dziarmaga, J., Rams, M. M., & Zurek, W. H. (2007) · Physical Review A · doi:10.1103/physreva.75.052321 · Cited by 182
Metadata
- Authors
- Damski, B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-13
- Volume
- 95
- Issue
- 3
- Pages
- 035701-035701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2027742874
- Cited by
- 365
- References
- 1
- FWCI
- 6.15
- Type
- journal article
- Language
- en
- Open access
- green
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- Damski, B. (2005). The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective. Physical Review Letters. https://doi.org/10.1103/physrevlett.95.035701
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
