# Spatial Kibble–Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case

@article{cki2017SpatialKM, title={Spatial Kibble–Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case}, author={Mateusz K. Łącki and Bogdan Damski}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2017}, volume={2017} }

We study the quantum Ising model in the transverse inhomogeneous magnetic field. Such a system can be approached numerically through exact diagonalization and analytically through the renormalization group techniques. Basic insight into its physics, however, can be obtained by adopting the Kibble–Zurek theory of non-equilibrium phase transitions to description of spatially inhomogeneous systems at equilibrium. We employ all these approaches and focus on derivatives of longitudinal and…

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