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- From Pauli's Principle to Fermionic Entanglement

The Pauli exclusion principle is a constraint on the

natural occupation numbers of fermionic states. It has been suspected for

decades, and only proved very recently, that there is a multitude of further

constraints on these numbers, generalizing the Pauli principle. Surprisingly,

these constraints are linear: they cut out a geometric object known as a

polytope. This is a beautiful mathematical result, but are there systems whose

physics is governed by these constraints?

In order to address this question, we studied a system of

a few fermions connected by springs. As we varied the spring constant, the

occupation numbers moved within the polytope. The path they traced hugs very

close to the boundary of the polytope, suggesting that the generalized constraints

affect the system. I will mention the implications of these findings for the

structure of few-fermion ground states and then discuss the relation between

the geometry of the polytope and different types of fermionic entanglement.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Friday, May 3, 2013 - 14:30 to 16:00

Location:

Bob Room

Room #:

405

©2012 Perimeter Institute for Theoretical Physics