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Vol. 165, Issue 2, February 2014, pp. 227-233




Bifurcation in Ground-state Fidelity and Quantum Criticality in Two-leg Potts Ladder

1 Sheng-Hao LI, 1 Xiao-Bing WU, 2 Hong-Lei WANG

1 Chongqing Vocational Institute of Engineering, Chongqing 400037, The People’s Republic of China
2 Faculty of Basic Medical Science, Chongqing Medical University, Chongqing 400016, The People’s Republic of China
1 Tel.: +08615123317228

1 E-mail: shenghaoli@cqu.edu.cn


Received: 7 January 2014 /Accepted: 7 February 2014 /Published: 28 February 2014

Digital Sensors and Sensor Sysstems


Abstract: We have investigated an intriguing connection between bifurcations, reduced fidelity per lattice site, local order parameter, universal order parameter, entropy and quantum phase transitions in the ground state for quantum three-state Potts model with two coupled infinite-size ladder system, in the context of the tensor network algorithm. The tensor network algorithm produces degenerate symmetry-breaking ground-state wave functions arising from the Z3 symmetry breaking, each of results from a randomly chosen initial state. We expect that our approach might provide further insights into critical phenomena in quantum many-body infinite lattice systems in condensed matter physics.


Keywords: Bifurcation, Reduced fidelity, Order parameter, Entropy, Phase transition, Tensor network algorithm.


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