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

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

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 …