2005/11/30 by Bogdan Damski, Wojciech H. Zurek · 7 citations
Computer Science · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Dynamics (music) #Impulse (physics) #Ising model #Phase transition #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Simple (philosophy) #Standard linear solid model #Statistical physics #Voltage #Zener diode #cond-mat.other #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.73.063405
published as Phys.Rev. A73 (2006) 063405 · 12 pages & 6 figures, minor corrections, version accepted in Phys. Rev. A
arxiv created 2006/04/11 · openalex publication_date 2006/06/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that a simple approximation based on concepts underlying the Kibble-Zurek theory of second order phase-transition dynamics can be used to treat avoided level crossing problems. The approach discussed in this paper provides an intuitive insight into quantum dynamics of two-level systems, and may serve as a link between the theory of dynamics of classical and quantum phase transitions. To illustrate these ideas we analyze dynamics of a paramagnet-ferromagnet quantum phase transition in the Ising model. We also present exact unpublished solutions of the Landau-Zener-like problems.