Lower entropy bounds and particle number fluctuations in a Fermi sea

Details Lower entropy bounds and particle number fluctuations in a Fermi sea Lower entropy bounds and particle number fluctuations in a Fermi sea

2004-06-10

arxiv.org/abs/quant-ph/0406068v2

J.Phys. A39 (2006) L85-L92

Physics

Quantum Physics

shorter version, typos fixed

Scientific paper

10.1088/0953-4075/39/1/009

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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