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SUMMARY:Pinning of Fermionic occupation numbers - Schilling\, C (ETH Zrich
 )
DTSTART:20131017T130000Z
DTEND:20131017T140000Z
UID:TALK48237@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: David Gross (University of Freiburg)\, Matthias Ch
 ristandl (ETH Zurich) \n\nThe problem of determining and describing the fa
 mily of 1-particle reduced density operators (1-RDO) arising from N-fermio
 n pure states (via partial trace) is known as the fermionic quantum margin
 al problem. We present its solution\, a multitude of constraints on the ei
 genvalues of the 1-RDO\, generalizing the Pauli exclusion principle. To ex
 plore the relevance of these constraints we study an analytically solvable
  model of N-fermions in a harmonic potential and determine the spectral `t
 rajectory' corresponding to the ground state as function of the fermion-fe
 rmion interaction strength. Intriguingly\, we find that the occupation num
 bers are almost\, but not exactly\, pinned to the boundary of the allowed 
 region. Our findings suggest a generalization of the Hartree-Fock approxim
 ation.\n
LOCATION:Seminar Room 1\, Newton Institute
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