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Ground state phase diagram of the quantum spin 1 Blume-Capel model: reduced density fidelity study

Zhao Jian-Hui

Ground state phase diagram of the quantum spin 1 Blume-Capel model: reduced density fidelity study

Zhao Jian-Hui
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  • PDF Downloads:  510
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Publishing process
  • Received Date:  30 March 2012
  • Accepted Date:  26 May 2012
  • Published Online:  05 November 2012

Ground state phase diagram of the quantum spin 1 Blume-Capel model: reduced density fidelity study

  • 1. Postdoctoral Research Station of Materials Science and Engineering, Chongqing University, Chongqing 400030, China
Fund Project:  Project supported by the Chongqing Postdoctoral Sustentation Fund (Grant No. CQXM201103019).

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.

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