Israel Klich 2006 J. Phys. A: Math. Gen. 39 L85 doi:10.1088/0305-4470/39/4/L02
Lower entropy bounds and particle number fluctuations in a Fermi sea
FREE ARTICLEIsrael Klich
Show affiliationsLETTER TO THE EDITOR
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.
- PACS
- MSC
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81Qxx General mathematical topics and methods in quantum theory
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 4 (27 January 2006)
Received 21 October 2005, in final form 30 November 2005
Published 11 January 2006
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Lower entropy bounds and particle number fluctuations in a Fermi sea
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