

Author: Hafner J. Blass B. Rieger H.
Publisher: Edp Sciences
E-ISSN: 1286-4854|116|6|60002-60002
ISSN: 0295-5075
Source: EPL (EUROPHYSICS LETTERS), Vol.116, Iss.6, 2017-02, pp. : 60002-60002
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We investigate the propagation of a local perturbation in the two-dimensional transverse-field Ising model with a time-dependent application of the mean-field theory based on the BBGKY hierarchy. We show that the perturbation propagates through the system with a finite velocity and that there is a transition from Manhattan to Euclidian metric, resulting in a light cone with an almost circular shape at sufficiently large distances. The propagation velocity of the perturbation defining the front of the light cone is discussed with respect to the parameters of the Hamiltonian and compared to exact results for the transverse-field Ising model in one dimension.
Related content




Three-dimensional Ising spin-glasses and mean-field theory
Journal de Physique Lettres, Vol. 45, Iss. 20, 1984-10 ,pp. :


Path integrals and time-dependent mean-field theories
Journal de Physique Lettres, Vol. 41, Iss. 3, 1980-02 ,pp. :


Quantum annealing of an infinite-range transverse-field Ising model
Journal of Physics: Conference Series , Vol. 143, Iss. 1, 2009-01 ,pp. :