Ground state phase diagram of the quantum spin 1 Blume-Capel model: reduced density fidelity study
Zhao Jian-Hui
Postdoctoral Research Station of Materials Science and Engineering, Chongqing University, Chongqing 400030, China
Abstract The reduced density fidelity is a measure of distance between two reduced density matrix, which can be used to characterize quantum phase transitions in quantum many-body systems. In this paper, we use the multi-scale entanglement reorganization ansatz (MERA) algorithm to simulate the spin 1 quantum Blume-Capel model and determine its ground-state phase diagram through calculating the reduced density fidelity. The qualitative relevant information contained in one site reduced density matrix is different from that contained two-site reduced density matrix, which can be detected by using the reduced density fidelity. In addition, we also characterize quantum phase transitions in quantum many-body systems by using the local parameters and energy gaps.
Key words ：
quantum phase transition
MERA
reduced density matrix
fidelity
Received: 2012-03-30
PACS:
05.30.Rt
(Quantum phase transitions)
02.70.-c
(Computational techniques; simulations)
Fund: Project supported by the Chongqing Postdoctoral Sustentation Fund (Grant No. CQXM201103019).
Corresponding Authors:
赵建辉
E-mail: jhzhaocqu@126.com
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2012, Vol. 61 
