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
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
Publisher:
arXiv Publisher's website
Publication date:
2015-08-20
Source identifiers:
539732
Pubs id:
pubs:539732
UUID:
uuid:c06d5e74-2db1-4044-9897-b85a3956ed48
Local pid:
pubs:539732
Deposit date:
2015-08-20