Physics – Quantum Physics
Scientific paper
2007-03-15
Physics
Quantum Physics
7 pages, no figures
Scientific paper
We investigate tacitly assumed relationships between the concepts of super-fluidity (-conductivity), long range order and entanglement. We prove that the three are by no means equivalent, but that notwithstanding, some rigorous implication can be established between them. This leads to three different, albeit frequently related, notions of "criticality", all of which are exemplified within the Hubbard model in the low density regime. We use Peierls' method of twisted Hamiltonians to link the existence of entanglement to superfluidity and (quasi)-long range order. As an application of our formalism, we show that recent experiments with cold atoms already prove the existence of the field theoretic, spatial entanglement in two dimensions. More interestingly, the appearance of entanglement in these experiments seems to be intimately related to the phase transition of the Kosterlitz Thouless type.
No associations
LandOfFree
When Do Superfluidity and Long Range Order Imply Entanglement? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with When Do Superfluidity and Long Range Order Imply Entanglement?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and When Do Superfluidity and Long Range Order Imply Entanglement? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-364507