Prethermalization and persistent order in the absence of a thermal phase transition

Halimeh, Jad C. ; Zauner-Stauber, Valentin ; McCulloch, Ian P. ; De Vega, Ines ; Schollwock, Ulrich ; Kastner, Michael (2017)

CITATION: Halimeh, J. C., et al. 2017. Prethermalization and persistent order in the absence of a thermal phase transition. Physical Review B, 95(2):1-7, doi:10.1103/PhysRevB.95.024302.

The original publication is available at https://journals.aps.org/prb

Article

We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions (∝1/rα with distance r), for finite chains and also directly in the thermodynamic limit. In nonequilibrium, i.e., before the system settles into a thermal state, we find a long-lived regime that is characterized by a prethermal value of the magnetization, which in general differs from its thermal value. We find that the ferromagnetic phase is stabilized dynamically: as a function of the quench parameter, the prethermal magnetization shows a transition between a symmetry-broken and a symmetric phase, even for those values of α for which no finite-temperature transition occurs in equilibrium. The dynamical critical point is shifted with respect to the equilibrium one, and the shift is found to depend on α as well as on the quench parameters.

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