Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 34, Issue 23, Pages 4653-4662Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-4075/34/23/310
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We consider a system of one-dimensional non-interacting fermions in external harmonic confinement. Using an efficient Green 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.
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