Next Article in Journal
Quantum Thermodynamics with Degenerate Eigenstate Coherences
Next Article in Special Issue
Linear Quantum Entropy and Non-Hermitian Hamiltonians
Previous Article in Journal
Multivariate Surprisal Analysis of Gene Expression Levels
Previous Article in Special Issue
Hawking-Like Radiation from the Trapping Horizon of Both Homogeneous and Inhomogeneous Spherically Symmetric Spacetime Model of the Universe
Article Menu
Issue 12 (December) cover image

Export Article

Open AccessArticle
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

School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China
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))
View Full-Text   |   Download PDF [2420 KB, uploaded 14 December 2016]   |  


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

Figure 1

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).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top