Physics – Quantum Physics
Scientific paper
2008-07-04
Physics
Quantum Physics
7 pages, 5 figures; corrected references
Scientific paper
10.1103/PhysRevA.78.052329
It is of high interest, in the context of Adiabatic Quantum Computation, to better understand the complex dynamics of a quantum system subject to a time-dependent Hamiltonian, when driven across a quantum phase transition. We present here such a study in the Lipkin-Meshkov-Glick (LMG) model with one variable parameter. We first display numerical results on the dynamical evolution across the LMG quantum phase transition, which clearly shows a pronounced effect of the spectral avoided level crossings. We then derive a phenomenological (classical) transition model, which already shows some closeness to the numerical results. Finally, we show how a simplified quantum transition model can be built which strongly improve the classical approach, and shed light on the physical processes involved in the whole LMG quantum evolution. From our results, we argue that the commonly used description in term of Landau-Zener transitions is not appropriate for our model.
Mosseri Remy
Ribeiro Pedro
Solinas Paolo
No associations
LandOfFree
Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model 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 Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-597930