Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
| Autor: | Halimeh, Jad C., Zauner-Stauber, Valentin, McCulloch, Ian P., de Vega, Inés, Schollwöck, Ulrich, Kastner, Michael |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 95, 024302 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.95.024302 |
| Popis: | We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions ($\propto 1/r^\alpha$ 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 $\alpha$ 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 $\alpha$ as well as on the quench parameters. Comment: 6 pages, 4 figures |
| Databáze: | arXiv |
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