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Lower entropy bounds and particle number fluctuations in a Fermi sea

Klich, Israel (2006) Lower entropy bounds and particle number fluctuations in a Fermi sea. Journal of Physics A: Mathematical and General, 39 (4). L85-L91. ISSN 0305-4470. 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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Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2006. Received 21 October 2005, in final form 30 November 2005. Published 11 January 2006. Print publication: Issue 4 (27 January 2006) I thank J D Bekenstein, J Lebowitz, L S Levitov, B Shapiro, A Retzker and M Reznikov for useful remarks.
Issue or Number:4
Record Number:CaltechAUTHORS:KLIjpa06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6278
Deposited By: Archive Administrator
Deposited On:30 Nov 2006
Last Modified:08 Nov 2021 20:32

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