Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy

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.

17 pages, 8 figures, published version

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• Quench dynamics of the 2d XY model
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Slow quench dynamics of periodically driven quantum gases
• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity
• Interaction ramps in a trapped Bose condensate
• Quasiadiabatic dynamics of ultracold bosonic atoms in a one-dimensional optical superlattice
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model