Physics – Quantum Physics
Scientific paper
2002-02-14
Physics
Quantum Physics
6 pages, 5 figures
Scientific paper
10.1140/epjb/e2002-00343-2
We consider a statistical mixture of two identical harmonic oscillators which is characterized by four parameters, namely, the concentrations (x and y) of diagonal and nondiagonal bipartite states, and their associated thermal-like noises (T/a and T, respectively). The fully random mixture of two spins 1/2 as well as the Einstein-Podolsky-Rosen (EPR) state are recovered as particular instances. By using the conditional nonextensive entropy as introduced by Abe and Rajagopal, we calculate the separable-entangled frontier. Although this procedure is known to provide a necessary but in general not sufficient condition for separability, it does recover, in the particular case x=T=0 (for all a), the 1/3 exact result known as Peres' criterion. This is an indication of reliability of the calculation of the frontier in the entire parameter space. The x=0 frontier remarkably resembles to the critical line associated with standard diluted ferromagnetism where the entangled region corresponds to the ordered one and the separable region to the paramagnetic one. The entangled region generically shrinks for increasing T or increasing a.
Anteneodo Celia
Prato Domingo
Tsallis Constantino
No associations
LandOfFree
Separable-entangled frontier in a bipartite harmonic system 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 Separable-entangled frontier in a bipartite harmonic system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separable-entangled frontier in a bipartite harmonic system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-43172