Few strongly interacting ultracold fermions in one-dimensional traps of different shapes Article Swipe
Related Concepts
Fermion
Physics
Scaling
Ground state
Spin (aerodynamics)
Limit (mathematics)
Harmonic
Range (aeronautics)
Condensed matter physics
Quantum mechanics
Geometry
Materials science
Composite material
Mathematics
Thermodynamics
Mathematical analysis
Daniel Pęcak
,
Tomasz Sowiński
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1103/physreva.94.042118
· OA: W2529730094
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1103/physreva.94.042118
· OA: W2529730094
The ground-state properties of a few spin-1/2 fermions with different masses\nand interacting via short-range contact forces are studied within an exact\ndiagonalization approach. It is shown that, depending on the shape of the\nexternal confinement, different scenarios of the spatial separation between\ncomponents manifested by specific shapes of the density profiles can be\nobtained in the strong interaction limit. We find that the ground-state of the\nsystem undergoes a specific transition between orderings when the confinement\nis changed adiabatically from a uniform box to a harmonic oscillator shape. We\nstudy the properties of this transition in the framework of the finite-size\nscaling method adopted to few-body systems.\n
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