Attractive Bose-Einstein condensates in anharmonic traps: accurate numerical treatment and the intriguing physics of the variance
The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and relative-motion degrees-of-freedom necessitates an accurate numerica...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
22 September 2018
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| In: |
Chemical physics
Year: 2018, Volume: 515, Pages: 287-298 |
| DOI: | 10.1016/j.chemphys.2018.09.029 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.chemphys.2018.09.029 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0301010418307183 
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| Author Notes: | Ofir E. Alon, Lorenz S. Cederbaum |
| Summary: | The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and relative-motion degrees-of-freedom necessitates an accurate numerical treatment. The multiconfigurational time-dependent Hartree for bosons (MCTDHB) method is used, and high convergence of the energy, depletion and occupation numbers, and position and momentum variances is proven numerically. We demonstrate for the ground state and out-of-equilibrium dynamics, for condensed and fragmented condensates, for small systems and en route to the infinite-particle limit, that intriguing differences between the density and variance of an attractive Bose-Einstein condensate emerge. Implications are briefly discussed. |
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| Item Description: | Gesehen am 06.05.2020 |
| Physical Description: | Online Resource |
| DOI: | 10.1016/j.chemphys.2018.09.029 |