Lower entropy bounds and particle number fluctuations in a Fermi sea

Abstract

We demonstrate, in an elementary manner, that given a partition of the single particle Hilbert space into orthogonal subspaces, a Fermi sea may be factored into pairs of entangled modes, similar to a BCS state. We derive expressions for the entropy and for the particle number fluctuations of a subspace of a fermi sea, at zero and finite temperatures, and relate these by a lower bound on the entropy. As an application we investigate analytically and numerically these quantities for electrons in the lowest Landau level of a quantum Hall sample.

shorter version, typos fixed

References in corpus (3)

• The X-ray spectrum of Fe XVII revisited with a multi-ion model
• Influence of Resonances on Spectral Formation of X-Ray Lines in Fe XVII
• Breit-Pauli R-matrix calculations for electron impact excitation of Fe XVII: a benchmark study

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