The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations
Abstract
A variational technique is applied to solve the time-dependent nonlinear Schr\"odinger equation (Gross-Pitaevskii equation) with the goal to model the dynamics of dilute ultracold atom clouds in the Bose-Einstein condensed phase. We derive analytical predictions for the collapse, equilibrium widths, and evolution laws of the condensate parameters and find them to be in very good agreement with our numerical simulations of the nonlinear Schr\"odinger equation. It is found that not only the number of particles, but also both the initial width of the condensate and the effect of different perturbations to the condensate may play a crucial role in the collapse dynamics. The results are applicable when the shape of the condensate is sufficiently simple.
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Cites
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Bose-Einstein Condensation in a Gas of Sodium Atoms
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Plancks Gesetz und Lichtquantenhypothese
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Cited by
Dynamics of collapsing and exploding Bose–Einstein condensates
Donley, E. A., Claussen, N. R., Cornish, S. L., Roberts, J. L., Cornell, E. A., & Wieman, C. E. (2001) · Nature · doi:10.1038/35085500 · Cited by 819
Theory of variational quantum simulation
Yuan, X., Endo, S., Zhao, Q., Li, Y., & Benjamin, S. C. (2019) · Quantum · doi:10.22331/q-2019-10-07-191 · Cited by 458
The physics of trapped dilute-gas Bose–Einstein condensates
Parkins, A. S., & Walls, D. F. (1998) · Physics Reports · doi:10.1016/s0370-1573(98)00014-3 · Cited by 401
Bose-Einstein Condensates in Atomic Gases: Simple Theoretical Results
Castin, Y. (2007) · Les Houches - Ecole d’Ete de Physique Theorique · doi:10.1007/3-540-45338-5_1 · Cited by 102
Metadata
- Authors
- Pérez-García, V. M., Michinel, H., Cirac, J. I., Lewenstein, M., & Zoller, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1997-08-01
- Volume
- 56
- Issue
- 2
- Pages
- 1424-1432
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2035386001
- Cited by
- 406
- References
- 21
- FWCI
- 7.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pérez-García, V. M., Michinel, H., Cirac, J. I., Lewenstein, M., & Zoller, P. (1997). Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations. Physical Review A. https://doi.org/10.1103/physreva.56.1424
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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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