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Strongly Interacting Few-Fermion Systems in a Trap

Christian Forssén (Institutionen för fundamental fysik) ; Rikard Lundmark (Institutionen för fundamental fysik) ; Jimmy Rotureau (Institutionen för fundamental fysik) ; Jonathan Larsson (Institutionen för fundamental fysik) ; David Lidberg (Institutionen för fundamental fysik)
Few-Body Systems (0177-7963). Vol. 56 (2015), 11-12, p. 837-844.
[Artikel, refereegranskad vetenskaplig]

Few- and many-fermion systems on the verge of stability, and consisting of strongly interacting particles, appear in many areas of physics. The theoretical modeling of such systems is a very difficult problem. In this work we present a theoretical framework that is based on the rigged Hilbert space formulation. The few-body problem is solved by exact diagonalization using a basis in which bound, resonant, and non-resonant scattering states are included on an equal footing. Current experiments with ultracold atoms offer a fascinating opportunity to study universal properties of few-body systems with a high degree of control over parameters such as the external trap geometry, the number of particles, and even the interaction strength. In particular, particles can be allowed to tunnel out of the trap by applying a magnetic-field gradient that effectively lowers the potential barrier. The result is a tunable open quantum system that allows detailed studies of the tunneling mechanism. In this Paper we introduce our method and present results for the decay rate of two distinguishable fermions in a one-dimensional trap as a function of the interaction strength. In particular, we present for the first time several technical and numerical details of our approach, recently published in Lundmark et al. (Phys Rev A 91:041601, 2015). We also show results from a careful analysis of the numerical convergence.

Denna post skapades 2016-01-21. Senast ändrad 2016-05-30.
CPL Pubid: 231061


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Institutionen för fundamental fysik (2005-2015)



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Denna publikation är ett resultat av följande projekt:

Ab initio approach to nuclear structure and reactions (++) (ANSR) (EC/FP7/240603)