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System of fermions confined in a harmonic potential and subject to a magnetic field or a rotational motion

Abstract : Making use of the Bloch density matrix technique, we derive exact analytical expressions for the density profile in Fourier space, for the current density and the so-called integrated current for fermionic systems confined by a two-dimensional harmonic oscillator, in the presence of a magnetic field or in a rotating trap of arbitrary strength. We present numerical, illustrative examples with or without magnetic field (with or without rotation).
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Submitted on : Monday, July 11, 2011 - 10:52:23 AM
Last modification on : Friday, June 5, 2020 - 10:52:05 AM

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H. Naidja, K. Bencheikh, J. Bartel, P. Quentin. System of fermions confined in a harmonic potential and subject to a magnetic field or a rotational motion. Physical Review A, American Physical Society, 2011, 83, pp.053631. ⟨10.1103/PhysRevA.83.053631⟩. ⟨in2p3-00607751⟩

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