Generalized Pauli constraints in large systems: The Pauli principle dominates
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Generalized Pauli constraints in large systems : The Pauli principle dominates. / Reuvers, Robin.
In: Journal of Mathematical Physics, Vol. 62, No. 3, 032204, 2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Generalized Pauli constraints in large systems
T2 - The Pauli principle dominates
AU - Reuvers, Robin
N1 - Erratum: https://aip.scitation.org/doi/10.1063/5.0051061
PY - 2021
Y1 - 2021
N2 - Lately, there has been a renewed interest in fermionic one-body reduced density matrices and their restrictions beyond the Pauli principle. These restrictions are usually quantified using the polytope of allowed, ordered eigenvalues of such matrices. Here, we prove that this polytope's volume rapidly approaches the volume predicted by the Pauli principle as the dimension of the one-body space grows and that additional corrections, caused by generalized Pauli constraints, are of much lower order unless the number of fermions is small. Indeed, we argue that the generalized constraints are most restrictive in (effective) few-fermion settings with low Hilbert space dimension.
AB - Lately, there has been a renewed interest in fermionic one-body reduced density matrices and their restrictions beyond the Pauli principle. These restrictions are usually quantified using the polytope of allowed, ordered eigenvalues of such matrices. Here, we prove that this polytope's volume rapidly approaches the volume predicted by the Pauli principle as the dimension of the one-body space grows and that additional corrections, caused by generalized Pauli constraints, are of much lower order unless the number of fermions is small. Indeed, we argue that the generalized constraints are most restrictive in (effective) few-fermion settings with low Hilbert space dimension.
UR - http://www.scopus.com/inward/record.url?scp=85103240281&partnerID=8YFLogxK
U2 - 10.1063/5.0031419
DO - 10.1063/5.0031419
M3 - Journal article
AN - SCOPUS:85103240281
VL - 62
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 3
M1 - 032204
ER -
ID: 261517193