We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change leads eventually to the disruption of the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one-dimensional quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems. © 2014 American Physical Society.
|Titolo:||Nonadiabatic stationary behaviour in a driven low-dimensional gapped system|
|Autori:||Maraga, Anna; Smacchia, Pietro; Fabrizio, Michele; Silva, Alessandro|
|Rivista:||PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1103/PhysRevB.90.041111|
|Appare nelle tipologie:||1.1 Journal article|