期刊
PHYSICAL REVIEW A
卷 97, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.97.043604
关键词
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资金
- Spanish Ministry of Economy, Industry, and Competitiveness (MINECO)
- European Regional Development Fund FEDER [FIS2015-67161-P]
- Basque Government [IT986-16]
- Basque Government through the BERC program
- MINECO through BCAM Severo Ochoa excellence accreditation [SEV-2013-0323, MTM2016-76016-R]
- MINECO [FPA2015-64041-C2-1-P]
- Basque Government Grant [IT979-16]
We consider an effective scaling approach for the free expansion of a one-dimensional quantum wave packet, consisting in a self-similar evolution to be satisfied on average, i.e., by integrating over the coordinates. A direct comparison with the solution of the Gross-Pitaevskii equation shows that the effective scaling reproduces with great accuracy the exact evolution-the actual wave function is reproduced with a fidelity close to one-for arbitrary values of the interactions. This result represents a proof of concept of the effectiveness of the scaling ansatz, which has been used in different forms in the literature but never compared against the exact evolution.
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