We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second-order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is supposed to vary linearly in time. We show that, for sufficiently large system sizes, the excess energy after the quench admits a non-trivial scaling behavior that is not predictable by standard Kibble–Zurek arguments for isolated critical points or extended critical regions. This emerges from a competing effect of many accessible low-lying excited states, inside the whole continuous line of critical points.
Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy
ROSSINI, DAVIDE;FAZIO, ROSARIO;
2009
Abstract
We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second-order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is supposed to vary linearly in time. We show that, for sufficiently large system sizes, the excess energy after the quench admits a non-trivial scaling behavior that is not predictable by standard Kibble–Zurek arguments for isolated critical points or extended critical regions. This emerges from a competing effect of many accessible low-lying excited states, inside the whole continuous line of critical points.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
