Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension

Abstract

We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.

arXiv comment5 pages. Original paper for EPJ ST in connection with the workshop BEC2014 28-31 May 2014 in Levico Terme, Italy

References in corpus (9)

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• Few interacting fermions in one-dimensional harmonic trap
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Cited by in corpus (8)

• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Simulation of Time-dependent Heisenberg Models in 1D
• Fluctuation relations and strong inequalities for thermally isolated systems
• Intercomponent correlations in attractive one-dimensional mass-imbalanced few-body mixtures
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap