Natural multiparticle entanglement in a Fermi gas
- Author(s)
- Christian Lunkes, Caslav Brukner, Vlatko Vedral
- Abstract
We investigate multipartite entanglement in a noninteracting fermion gas, as a function of fermion separation, starting from the many particle fermion density matrix. We prove that all multiparticle entanglement can be built only out of two-fermion entanglement. Although from the Pauli exclusion principle we would always expect entanglement to decrease with fermion distance, we surprisingly find the opposite effect for certain fermion configurations. The von Neumann entropy is found to be proportional to the volume for a large number of particles even when they are arbitrarily close to each other. We will illustrate our results using different configurations of two, three, and four fermions at zero temperature although all our results can be applied to any temperature and any number of particles. Π2005 The American Physical Society.
- Organisation(s)
- External organisation(s)
- Imperial College London
- Journal
- Physical Review Letters
- Volume
- 95
- No. of pages
- 4
- ISSN
- 0031-9007
- DOI
- https://doi.org/10.1103/PhysRevLett.95.030503
- Publication date
- 2005
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103026 Quantum optics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/2be22ade-2f34-49a0-b951-bda5a1ce210f