Patrizia Vignolo and Anna Minguzzi 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4653 doi:10.1088/0953-4075/34/23/310
One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties
Patrizia Vignolo1 and Anna Minguzzi
Show affiliationsWe 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.
- PACS
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05.30.Fk Fermion systems and electron gas
- Subjects
- Dates
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Issue 23 (14 December 2001)
Received 29 August 2001
Published 21 November 2001
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One-dimensional non-interacting fermions in harmonic confinement: equilibrium and dynamical properties
Patrizia Vignolo and Anna Minguzzi 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4653
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