[quantum-info] Today's PIQuDos

[Markus Mueller]

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

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