Pinning of Fermionic Occupation Numbers
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Pinning of Fermionic Occupation Numbers. / Schilling, Christian; Gross, David; Christandl, Matthias.
In: Physical Review Letters, Vol. 110, No. 4, 040404 , 22.01.2013.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Pinning of Fermionic Occupation Numbers
AU - Schilling, Christian
AU - Gross, David
AU - Christandl, Matthias
PY - 2013/1/22
Y1 - 2013/1/22
N2 - he Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. It has been suspected since at least the 1970s, and only proved very recently, that there is a multitude of further constraints on these numbers, generalizing the Pauli principle. Here, we provide the first analytic analysis of the physical relevance of these constraints. We compute the natural occupation numbers for the ground states of a family of interacting fermions in a harmonic potential. Intriguingly, we find that the occupation numbers are almost, but not exactly, pinned to the boundary of the allowed region (quasipinned). The result suggests that the physics behind the phenomenon is richer than previously appreciated. In particular, it shows that for some models, the generalized Pauli constraints play a role for the ground state, even though they do not limit the ground-state energy. Our findings suggest a generalization of the Hartree-Fock approximation.
AB - he Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. It has been suspected since at least the 1970s, and only proved very recently, that there is a multitude of further constraints on these numbers, generalizing the Pauli principle. Here, we provide the first analytic analysis of the physical relevance of these constraints. We compute the natural occupation numbers for the ground states of a family of interacting fermions in a harmonic potential. Intriguingly, we find that the occupation numbers are almost, but not exactly, pinned to the boundary of the allowed region (quasipinned). The result suggests that the physics behind the phenomenon is richer than previously appreciated. In particular, it shows that for some models, the generalized Pauli constraints play a role for the ground state, even though they do not limit the ground-state energy. Our findings suggest a generalization of the Hartree-Fock approximation.
U2 - 10.1103/PhysRevLett.110.040404
DO - 10.1103/PhysRevLett.110.040404
M3 - Journal article
C2 - 25166142
VL - 110
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 4
M1 - 040404
ER -
ID: 120540062