Effective self-similar expansion for the Gross-Pitaevskii equation
| Autor: | Michele Modugno, Gianni Pagnini, Manuel Angel Valle-Basagoiti |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Wave packet FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Gross–Pitaevskii equation Proof of concept Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Free expansion Statistical physics 010306 general physics Wave function Condensed Matter - Quantum Gases Scaling Quantum Ansatz |
| Zdroj: | BIRD: BCAM's Institutional Repository Data instname |
| DOI: | 10.1103/physreva.97.043604 |
| Popis: | 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. Grant No. FIS2015-67161-P (MINECO/FEDER, UE) Grant No. IT986-16 Grant No. FPA2015-64041-C2-1-P Grant No. IT979-16 |
| Databáze: | OpenAIRE |
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