Physics – Quantum Physics
Scientific paper
2009-11-19
Phys. Rev A 81, 052324 (2010)
Physics
Quantum Physics
23 pages, 32 figures. More details added about the metastable branch and the first-order phase transition
Scientific paper
10.1103/PhysRevA.81.052324
We study the distribution of the Schmidt coefficients of the reduced density matrix of a quantum system in a pure state. By applying general methods of statistical mechanics, we introduce a fictitious temperature and a partition function and translate the problem in terms of the distribution of the eigenvalues of random matrices. We investigate the appearance of two phase transitions, one at a positive temperature, associated to very entangled states, and one at a negative temperature, signalling the appearance of a significant factorization in the many-body wave function. We also focus on the presence of metastable states (related to 2-D quantum gravity) and study the finite size corrections to the saddle point solution.
Facchi Paolo
Parisi Giorgio
Pascazio Saverio
Pasquale Antonella de
Scardicchio Antonello
No associations
LandOfFree
Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum 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 Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-431121