One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties

Abstract

We consider a system of one-dimensional non-interacting fermions in external harmonic confinement. Using an efficient Green's function method we evaluate the exact profiles and the pair correlation function, showing a direct signature of the Fermi statistics and of the single quantum-level occupancy. We also study the dynamical properties of the gas, obtaining the spectrum both in the collisionless and in the collisional regime. Our results apply as well to describe a one-dimensional Bose gas with point-like hard-core interactions.

11 pages, 5 figures

References in corpus (3)

• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Hydrodynamic Excitations in a Spin-Polarized Fermi Gas under Harmonic Confinement in One Dimension
• Light scattering from a degenerate quasi-onedimensional confined gas of non-interacting fermions

Cited by in corpus (9)

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• Ultracold bosons in lattices with binary disorder
• Exact first-order density matrix for a d-dimensional harmonically confined Fermi gas at finite temperature
• Semiclassical theory for spatial density oscillations in fermionic systems
• Exact and asymptotic local virial theorems for finite fermionic systems
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"