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Lower entropy bounds and particle number fluctuations in a Fermi sea

Israel Klich
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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.

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Israel Klich. 2004-06-23. Lower entropy bounds and particle number fluctuations in a Fermi sea. https://doi.org/10.1088/0953-4075/39/1/009

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