dorsal/arxiv
View SchemaLower entropy bounds and particle number fluctuations in a Fermi sea
| Authors | Israel Klich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406068 |
| URL | https://arxiv.org/abs/quant-ph/0406068 |
| DOI | 10.1088/0953-4075/39/1/009 |
| Journal | J.Phys. A39 (2006) L85-L92 |
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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"abstract": "We demonstrate, in an elementary manner, that given a partition of the single\nparticle Hilbert space into orthogonal subspaces, a Fermi sea may be factored\ninto pairs of entangled modes, similar to a BCS state. We derive expressions\nfor the entropy and for the particle number fluctuations of a subspace of a\nfermi sea, at zero and finite temperatures, and relate these by a lower bound\non the entropy. As an application we investigate analytically and numerically\nthese quantities for electrons in the lowest Landau level of a quantum Hall\nsample.",
"arxiv_id": "quant-ph/0406068",
"authors": [
"Israel Klich"
],
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"quant-ph",
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"doi": "10.1088/0953-4075/39/1/009",
"journal_ref": "J.Phys. A39 (2006) L85-L92",
"title": "Lower entropy bounds and particle number fluctuations in a Fermi sea",
"url": "https://arxiv.org/abs/quant-ph/0406068"
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