Multipulse Phases in k-Mixtures of Bose–Einstein Condensates
By S. Terracini, Gianmaria Verzini. 2008
159 citations recorded by the source corpus.
AbstractFor the system $$-\Delta U_i+ U_i=U_i^3-\beta U_i\sum_{j\neq i}U_j^2,\quad i=1,\dots,k,$$(with k ≧ 3), we prove the existence for β large of positive radial solutions on $${\mathbb R^N}$$ . We show that as β → + ∞, the profile of each component Ui separates, in many pulses, from the others. Moreover, we can prescribe the location of such pulses in terms of the oscillations of the changing-sign solutions of the scalar equation − ΔW + W = W3. Within an Hartree–Fock approximation, this provides a theoretical indication of phase separation into many nodal domains for the k-mixtures of Bose–Einstein condensates.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2fcb63748fa1ba628f5ef9e366a2969fdcc26820
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In Applied Mathematics
- Nicola Soave
- Thomas Bartsch
- Gianmaria Verzini
- Hugo Tavares
- Benedetta Noris
- Tobias Weth
- Louis Jeanjean
- Wenming Zou
In Mathematical Physics
- Thomas Bartsch
- Nicola Soave
- Gianmaria Verzini
- Hugo Tavares
- Benedetta Noris
- Louis Jeanjean
- Wenming Zou
- Houwang Li
Citations in the corpus
- A natural constraint approach to normalized solutions of nonlinear Schr\"odinger equations and systems (2016, background): “[2,10,15,25,28,29,31,38,40,41,42,51,53] and the references therein, while problem (1.”
- Stable solitary waves with prescribed $L^2$-mass for the cubic Schr\"odinger system with trapping potentials (2014, background): “Most of them are concerned with the case of fixed chemical potentials; as a few example we quote here the papers [18, 20, 3, 7, 31, 19, 35, 6, 12, 24, 36, 11, 27, 32, 34], referring to their bibliography for an extensive list of references on this topic.”