A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
arXiv:1010.0044 · doi:10.1007/s00601-011-0298-6
Abstract
We propose a systematic T-matrix approach to solve few-body problems with s-wave contact interactions in ultracold atomic gases. The problem is generally reduced 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 proper renormalization for internal relative motions. This approach is able to incorporate various scattering problems and the calculations of related physical quantities in a single framework, and also provides a physically transparent way to understand the mechanism of resonance scattering. For applications, we study two-body effective scattering in 2D-3D mixed dimensions, where the resonance position and width are determined with high precision from only a few number of matrix elements. We also study three fermions in a (rotating) harmonic trap, where exotic scattering properties in terms of mass ratios and angular momenta are uniquely identified in the framework of T-matrix.
14 pages, 4 figures
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Cited by in corpus (11)
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Universal Trimers induced by Spin-Orbit Coupling in Ultracold Fermi Gases
- Two-body quench dynamics of harmonically trapped interacting particles
- Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases
- Multiple-Channel Scattering Resonance of One-Dimensional Ultracold Spinor Bosons
- Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
- Separation induced resonances in quasi-one-dimensional ultracold atomic gases
- Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
- Effects of Efimov states on quench dynamics in a three-boson trapped system
- Determination of classical behaviour of the Earth for large quantum numbers using quantum guiding equation
- Arbitrary interaction quench phenomena in harmonically trapped two-body systems