Entanglement entropy in collective models

Details Entanglement entropy in collective models Entanglement entropy in collective models

2006-10-30

arxiv.org/abs/cond-mat/0610833v2

J.Stat.Mech.0701:P01015,2007

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures

Scientific paper

10.1088/1742-5468/2007/01/P01015

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system (signaled by a divergence of the entanglement entropy) and the excitation energies. Such systems naturally arise when expanding collective spin Hamiltonians at leading order via the Holstein-Primakoff mapping. In a second step, we analyze several such models (the Dicke model, the two-level BCS model, the Lieb-Mattis model and the Lipkin-Meshkov-Glick model) and investigate the properties of the entanglement entropy in the whole parameter range. We show that when the system contains gapless excitations the entanglement entropy of the ground state diverges with increasing system size. We derive and classify the scaling behaviors that can be met.

Affiliated with

Also associated with

No associations

Rating

Entanglement entropy in collective models 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 Entanglement entropy in collective models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement entropy in collective models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230209