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Entropy 2016, 18(12), 446; doi:10.3390/e18120446

Effects Induced by the Initial Condition in the Quantum Kibble–Zurek Scaling for Changing the Symmetry-Breaking Field

1
School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China
2
Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan
*
Authors to whom correspondence should be addressed.
Academic Editor: Ignazio Licata
Received: 18 November 2016 / Revised: 7 December 2016 / Accepted: 9 December 2016 / Published: 14 December 2016
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
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Abstract

The Kibble–Zurek scaling describes the driven critical dynamics starting with an equilibrium state far away from the critical point. Recently, it has been shown that scaling behaviors also exist when the fluctuation term changes starting near the critical point. In this case, the relevant initial conditions should be included in the scaling theory as additional scaling variables. Here, we study the driven quantum critical dynamics in which a symmetry-breaking field is linearly changed starting from the vicinity of the critical point. We find that, similar to the case of changing the fluctuation term, scaling behaviors in the driven dynamics can be described by the Kibble–Zurek scaling with the initial symmetry-breaking field being included as its additional scaling variable. Both the cases of zero and finite temperatures are considered, and the scaling forms of the order parameter and the entanglement entropy are obtained. We numerically verify the scaling theory by taking the quantum Ising model as an example. View Full-Text
Keywords: Kibble–Zurek scaling; initial condition; symmetry-breaking field; finite temperature Kibble–Zurek scaling; initial condition; symmetry-breaking field; finite temperature
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhai, L.-J.; Yin, S. Effects Induced by the Initial Condition in the Quantum Kibble–Zurek Scaling for Changing the Symmetry-Breaking Field. Entropy 2016, 18, 446.

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