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Open Quantum Systems Decoherence Quantum Simulation

Light cone in the two-dimensional transverse-field Ising model in time-dependent mean-field theory

arXiv

Authors: Jonas Hafner, Benjamin Blaß, Heiko Rieger

Year

2016

Paper ID

42511

Status

Preprint

Abstract Read

~2 min

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Abstract

We investigate the propagation of a local perturbation in the two-dimensional transverse-field Ising model with a time-dependent application of 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 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.

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We investigate the propagation of a local perturbation in the two-dimensional transverse-field Ising model with a time-dependent application of mean-field theory based on the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.02476 [2] arXiv https://arxiv.org/abs/1611.02476 [3] Publisher https://arxiv.org/abs/1611.02476

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