Dipole oscillations in fermionic mixtures

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.033624· OSTI ID:21408479

Chiacchiera, S; Macri, T; Trombettoni, A ^[1]

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1. Centro de Fisica Computacional, Department of Physics, University of Coimbra, P-3004-516, Coimbra (Portugal)

We study dipole oscillations in a general fermionic mixture. Starting from the Boltzmann equation, we classify the different solutions in the parameter space through the number of real eigenvalues of the small oscillations matrix. We discuss how this number can be computed using the Sturm algorithm and its relation with the properties of the Laplace transform of the experimental quantities. After considering two components in harmonic potentials having different trapping frequencies, we study dipole oscillations in three-component mixtures. Explicit computations are done for realistic experimental setups using the classical Boltzmann equation without intraspecies interactions. A brief discussion of the application of this classification to general collective oscillations is also presented.

• OSTI ID: 21408479
• Journal Information: Physical Review. A, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevA.81.033624; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
BOLTZMANN EQUATION
CALCULATION METHODS
CLASSIFICATION
DIPOLES
EIGENVALUES
FERMIONS
HARMONIC POTENTIAL
INTERACTIONS
LAPLACE TRANSFORMATION
MATHEMATICAL SOLUTIONS
MATRICES
OSCILLATIONS
SPACE
TRAPPING
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRAL TRANSFORMATIONS
INTEGRO-DIFFERENTIAL EQUATIONS
KINETIC EQUATIONS
MATHEMATICAL LOGIC
MULTIPOLES
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
TRANSFORMATIONS