Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- CNR-INFM BEC Center, I-38050 Povo (Tunisia) (Italy) and Centrum Fizyki Teoretycznej, Polska Akademia Nauk, 02-668 Warsaw (Poland)
- Tunisia; Italy
We discuss exact solutions of the Schroedinger equation for the system of two ultracold atoms confined in an axially symmetric harmonic potential. We investigate different geometries of the trapping potential, in particular we study the properties of eigenenergies and eigenfunctions for quasi-one-dimensional and quasi-two-dimensional traps. We show that the quasi-one-dimensional and the quasi-two-dimensional regimes for two atoms can be already realized in the traps with moderately large (or small) ratios of the trapping frequencies in the axial and the transverse directions. Finally, we apply our theory to Feshbach resonances for trapped atoms. Introducing in our description an energy-dependent scattering length we calculate analytically the eigenenergies for two trapped atoms in the presence of a Feshbach resonance.
- OSTI ID:
- 20853073
- Journal Information:
- Physical Review. A, Vol. 74, Issue 2; Other Information: DOI: 10.1103/PhysRevA.74.022712; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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