Numerical study of Kibble-Zurek Mechanism in the presence of long-range interaction

WANG Zhen; HAN Yongjian; GUO Guangcan

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Numerical study of Kibble-Zurek Mechanism in the presence of long-range interaction

WANG Zhen,HAN Yongjian * #,GUO Guangcan

Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei, Anhui, 230026

*Correspondence author

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Funding: National Basic Research Program of China（No.2011CB921200, 2013CB933304）, Strategic Priority Research Program(B) of the Chinese Academy of Sciences（No.XDB01030300）, National Natural Science Foundation of China（No.11474267）, SRFDP （No.WJ2470000007）

Opened online:14 December 2015

Accepted by: none

Citation: WANG Zhen,HAN Yongjian,GUO Guangcan.Numerical study of Kibble-Zurek Mechanism in the presence of long-range interaction[OL]. [14 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4667650

In condensed matter physics, long-range correlation is well known for bringing exotic phenomenons into quantum systems and breaking boundaries of short-ranged theories. In this work, we utilize the latest time-dependent variational principle(TDVP) algorithm for matrix product states that can simulate time evolutions with errors no larger than 10^{-8}. By numerically simulating the quantum quenching processes, we study Kibble-Zurek Mechanism in quantum Ising model with long-range correlations which decay in power-law with distance r^(-α). The results show that the density of topological defects goes well beyond previous theory derived from short-ranged quantum systems, and surprisingly show a transition in density of kink at α~1.5. Our work reveals the relation between long-ranged correlations and Kibble-Zurek Mechanism and points a possible direction for implementing experiments.

Keywords:condensed matter physics; kibble-zurek mechanism; tensor network; long-rang correlation

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