Volume 116, Number 6, December 2016
|Number of page(s)||6|
|Published online||06 February 2017|
Light cone in the two-dimensional transverse-field Ising model in time-dependent mean-field theory
Theoretical Physics, Saarland University - 66123 Saarbrücken, Germany
Received: 8 November 2016
Accepted: 16 January 2017
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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 75.10.Pq – Spin chain models / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EPLA, 2016
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