Quantum phase transitions in matrix product states of one-dimensional spin-1 chains

ZHU Jing-Min

doi:10.1088/1674-1137/38/10/103102

Chinese Physics C> 2014, Vol. 38> Issue(10) : 103102 DOI: 10.1088/1674-1137/38/10/103102

Quantum phase transitions in matrix product states of one-dimensional spin-1 chains

ZHU Jing-Min ^,

College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China

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Abstract：
We present a new model of quantum phase transitions in matrix product systems of one-dimensional spin-1 chains and study the phases coexistence phenomenon. We find that in the thermodynamic limit the proposed system has three different quantum phases and by adjusting the control parameters we are able to realize any phase, any two phases equal coexistence and the three phases equal coexistence. At every critical point the physical quantities including the entanglement are not discontinuous and the matrix product system has long-range correlation and N-spin maximal entanglement. We believe that our work is helpful for having a comprehensive understanding of quantum phase transitions in matrix product states of one-dimensional spin chains and of certain directive significance to the preparation and control of one-dimensional spin lattice models with stable coherence and N-spin maximal entanglement.

References

[1]

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ZHU Jing-Min. Quantum phase transitions in matrix product states of one-dimensional spin-1 chains[J]. Chinese Physics C, 2014, 38(10): 103102. doi: 10.1088/1674-1137/38/10/103102

ZHU Jing-Min. Quantum phase transitions in matrix product states of one-dimensional spin-1 chains[J]. Chinese Physics C, 2014, 38(10): 103102. doi: 10.1088/1674-1137/38/10/103102 shu

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Received: 2013-12-18
Revised: 2014-01-07

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Quantum phase transitions in matrix product states of one-dimensional spin-1 chains

Corresponding author: ZHU Jing-Min,

College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China

Received Date: 2013-12-18

Accepted Date: 2014-01-07

Available Online: 2014-10-05

Abstract: We present a new model of quantum phase transitions in matrix product systems of one-dimensional spin-1 chains and study the phases coexistence phenomenon. We find that in the thermodynamic limit the proposed system has three different quantum phases and by adjusting the control parameters we are able to realize any phase, any two phases equal coexistence and the three phases equal coexistence. At every critical point the physical quantities including the entanglement are not discontinuous and the matrix product system has long-range correlation and N-spin maximal entanglement. We believe that our work is helpful for having a comprehensive understanding of quantum phase transitions in matrix product states of one-dimensional spin chains and of certain directive significance to the preparation and control of one-dimensional spin lattice models with stable coherence and N-spin maximal entanglement.

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Quantum phase transitions in matrix product states of one-dimensional spin-1 chains

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