A general T-matrix approach applied to two-body and three-body problems in cold atomic gases - Condensed Matter > Quantum GasesReportar como inadecuado




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Abstract: We propose a systematic T-matrix approach to solve few-body problems withs-wave contact interactions in ultracold atomic gases. The problem is generallyreduced to a matrix equation expanded by a set of orthogonal molecular states,describing external center-of-mass motions of pairs of interacting particles;while each matrix element is guaranteed to be finite by a properrenormalization for internal relative motions. This approach is able toincorporate various scattering problems and the calculations of relatedphysical quantities in a single framework, and also provides a physicallytransparent way to understand the mechanism of resonance scattering. Forapplications, we study two-body effective scattering in 2D-3D mixed dimensions,where the resonance position and width are determined with high precision fromonly a few number of matrix elements. We also study three fermions in arotating harmonic trap, where exotic scattering properties in terms of massratios and angular momenta are uniquely identified in the framework ofT-matrix.



Autor: Xiaoling Cui

Fuente: https://arxiv.org/







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