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**Harvard**

Forssén, C., Lundmark, R., Rotureau, J., Larsson, J. och Lidberg, D. (2015) *Strongly Interacting Few-Fermion Systems in a Trap*.

** BibTeX **

@article{

Forssén2015,

author={Forssén, Christian and Lundmark, Rikard and Rotureau, Jimmy and Larsson, Jonathan and Lidberg, David},

title={Strongly Interacting Few-Fermion Systems in a Trap},

journal={Few-Body Systems},

issn={0177-7963},

volume={56},

issue={11-12},

pages={837-844},

abstract={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.},

year={2015},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 231061

A1 Forssén, Christian

A1 Lundmark, Rikard

A1 Rotureau, Jimmy

A1 Larsson, Jonathan

A1 Lidberg, David

T1 Strongly Interacting Few-Fermion Systems in a Trap

YR 2015

JF Few-Body Systems

SN 0177-7963

VO 56

IS 11-12

SP 837

OP 844

AB 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.

LA eng

DO 10.1007/s00601-015-0989-5

LK http://dx.doi.org/10.1007/s00601-015-0989-5

OL 30