期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 39, 期 4, 页码 L85-L91出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/39/4/L02
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In this letter 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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