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Dynamics of a Quantum Phase Transition
Open accessAbstract
We present two approaches to the dynamics of a quench-induced phase transition in the quantum Ising model. One follows the standard treatment of thermodynamic second order phase transitions but applies it to the quantum phase transitions. The other approach is quantum, and uses Landau-Zener formula for transition probabilities in avoided level crossings. We show that predictions of the two approaches of how the density of defects scales with the quench rate are compatible, and discuss the ensuing insights into the dynamics of quantum phase transitions.
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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
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Probing many-body dynamics on a 51-atom quantum simulator
Bernien, H., Schwartz, S., Keesling, A., Levine, H., Omran, A., Pichler, H., Choi, S., Zibrov, A. S., Endres, M., Greiner, M., et al. (2017) · Nature · doi:10.1038/nature24622 · Cited by 2,460
Ultracold quantum gases in optical lattices
Bloch, I. (2005) · Nature Physics · doi:10.1038/nphys138 · Cited by 1,457
Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
Ebadi, S., Wang, T. T., Levine, H., Keesling, A., Semeghini, G., Omran, A., Bluvstein, D., Samajdar, R., Pichler, H., Ho, W. W., et al. (2020) · arXiv · doi:10.48550/arxiv.2012.12281 · Cited by 995
Metadata
- Authors
- Zurek, W. H., Dorner, U., & Zoller, P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-01
- Volume
- 95
- Issue
- 10
- Pages
- 105701-105701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2161655651
- Cited by
- 808
- References
- 1
- FWCI
- 11.48
- Type
- journal article
- Language
- en
- Open access
- green
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- Zurek, W. H., Dorner, U., & Zoller, P. (2005). Dynamics of a Quantum Phase Transition. Physical Review Letters. https://doi.org/10.1103/physrevlett.95.105701
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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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