Hi all,
this is a reminder of Christian Schilling's talk today at 4 pm in
the Time Room.
Title: Pinning of Fermionic Occupation Numbers
Speaker: Christian Schilling (ETH Zurich)
Abstract:
The problem of determining and describing the family of 1-particle
reduced density operators (1-RDO) arising from N-fermion pure states
(via partial trace) is known as the fermionic quantum marginal
problem. We present its solution, a multitude of constraints on the
eigenvalues of the 1-RDO, generalizing the Pauli exclusion
principle. To explore the relevance of these constraints we study an
analytically solvable model of N fermions in a harmonic potential
and determine the spectral `trajectory' corresponding to the ground
state as function of the fermion-fermion interaction strength.
Intriguingly, we find that the occupation numbers are almost, but
not exactly, pinned to the boundary of the allowed region
(quasi-pinned). Our findings suggest a generalization of the
Hartree-Fock approximation.
Date: Monday, Jan 21, 2013 - 4:00 pm
Location: Time Room (294)
Best,
Markus