Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined
quantum critical point
- URL: http://arxiv.org/abs/2002.12861v1
- Date: Fri, 28 Feb 2020 16:55:26 GMT
- Title: Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined
quantum critical point
- Authors: Rui-Zhen Huang, Shuai Yin
- Abstract summary: We study the driven critical dynamics near a one-dimensional incarnation of deconfined quantum critical point.
By investigating the dependence of the density of the topological defects on the driving rate, we verify the KZM in this Landau-forbidden critical point.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The conventional Kibble-Zurek mechanism (KZM) describes the driven critical
dynamics in the Landau-Ginzburg-Wilson (LGW) spontaneous symmetry-breaking
phase transitions. However, whether the KZM is still applicable in the
deconfined quantum criticality, which is beyond the LGW paradigm, has not been
explored. In this paper, we study the driven critical dynamics near a
one-dimensional incarnation of deconfined quantum critical point between a
ferromagnetic (FM) phase and a valance-bond-solid (VBS) phase. By investigating
the dependence of the density of the topological defects on the driving rate,
we verify the KZM in this Landau-forbidden critical point. Moreover, we find
that both the FM and the VBS order parameters satisfy the finite-time scaling
in the whole driven process. The effects of the emergent symmetry in the
nonequilibrium dynamics are also studied.
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