Journal article

### Number-parity effect for confined fermions in one dimension

Abstract:

For $N$ spin-polarized fermions in a $1$-dimensional trap with strong attractive interactions an odd-even effect is found. The entanglement spectrum of the $1$-particle reduced density matrix of the system's ground state differs qualitatively for $N$ odd and $N$ even. Since this effect does not occur for bosons it is the result of the competition between the attractive interaction and the repulsive nature of Pauli's exclusion principle. In contrast to the spectrum, the fermionic $1$-particle ...

Publication status:
Submitted

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Atomic and Laser Physics
Role:
Author
Publisher:
arXiv Publisher's website
Publication date:
2015-08-20
URN:
uuid:c06d5e74-2db1-4044-9897-b85a3956ed48
Source identifiers:
539732
Local pid:
pubs:539732