Static and Dynamic Properties of Trapped Fermionic Tonks-Girardeau Gases

Journal Article · Fri Jul 01 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.010406· OSTI ID:20696413

Girardeau, M D ^[1]; Wright, E M ^[1]

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1. College of Optical Sciences, University of Arizona, Tucson, Arizona 85721 (United States)

We investigate some static and dynamic properties of harmonically trapped fermionic Tonks-Girardeau gases in tight de Broglie waveguides with attractive p-wave interactions induced by a Feshbach resonance. An exact solution for the one-body density matrix is analyzed in terms of its natural orbitals, with the surprising result that for odd, but not for even, numbers of fermions the maximally occupied orbital coincides with the ground harmonic oscillator orbital. A dynamical consequence of this is that when the interactions are turned off the on-axis density remains a maximum for an odd number of fermions, whereas a minimum develops for an even number.

• OSTI ID: 20696413
• Journal Information: Physical Review Letters, Vol. 95, Issue 1; Other Information: DOI: 10.1103/PhysRevLett.95.010406; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
EXACT SOLUTIONS
FERMI GAS
FERMIONS
HARMONIC OSCILLATORS
P WAVES
QUANTUM MECHANICS
RESONANCE
SPIN
TRAPPING
WAVEGUIDES