Dynamics of quantum coherence and quantum phase transitions in XY spin systems

Meng Qin, Zhongzhou Ren, and Xin Zhang
Phys. Rev. A 98, 012303 – Published 3 July 2018

Abstract

We provide an analysis on the critical property of quantum coherence in XY spin systems based on the quantum renormalization group theory. We find that the quantum coherence obeys a conservation relation, i.e., the quantum coherence of a three-block state that is the sum of its reduced state coherence. The quantum coherence of the whole block state and its reduced state obey similar scaling properties with identical quantum coherence exponent 0.999. This means that the quantum critical behavior of a system may gain from its reduced state. With the unitary operator approaches, we evaluated the evolutionary characteristics of the large-scale system and illustrate its behavior with different initial states. The result shows that quantum coherence periodically fluctuates over time. The period decreases under the system size increasing.

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  • Received 17 December 2017

DOI:https://doi.org/10.1103/PhysRevA.98.012303

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Meng Qin1,*, Zhongzhou Ren2,3,†, and Xin Zhang2

  • 1Department of General Education, Army Engineering University of PLA, Nanjing 211101, China
  • 2Department of Physics and Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China
  • 3School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

  • *qrainm@gmail.com
  • zren@tongji.edu.cn

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Vol. 98, Iss. 1 — July 2018

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