تقرير
Scaling dynamics of the ultracold Bose gas
| العنوان: | Scaling dynamics of the ultracold Bose gas |
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| المؤلفون: | Bradley, Ashton S., Clarke, Jordan, Neely, Tyler W., Anderson, Brian P |
| المصدر: | Physical Review A 106, 053316 (2022) |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Quantum Gases, Physics - Computational Physics, Quantum Physics |
| الوصف: | The large-scale expansion dynamics of quantum gases is a central tool for ultracold gas experiments and poses a significant challenge for theory. In this work we provide an exact reformulation of the Gross-Pitaevskii equation for the ultracold Bose gas in a coordinate frame that adaptively scales with the system size during evolution, enabling simulations of long evolution times during expansion or similar large-scale manipulation. Our approach makes no hydrodynamic approximations, is not restricted to a scaling ansatz, harmonic potentials, or energy eigenstates, and can be generalized readily to non-contact interactions via the appropriate stress tensor of the quantum fluid. As applications, we simulate the expansion of the ideal gas, a cigar-shaped condensate in the Thomas-Fermi regime, and a linear superposition of counter propagating Gaussian wavepackets. We recover known scaling for the ideal gas and Thomas-Fermi regimes, and identify a linear regime of aspect-ratio preserving free expansion; analysis of the scaling dynamics equations shows that an exact, aspect-ratio invariant, free expansion does not exist for nonlinear evolution. Our treatment enables exploration of nonlinear effects in matter-wave dynamics over large scale-changing evolution. Comment: 12 pages, 3 figures, 2 appendices |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.106.053316 |
| URL الوصول: | http://arxiv.org/abs/2112.09280 |
| رقم الأكسشن: | edsarx.2112.09280 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.106.053316 |
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