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Quantum Fidelity and Thermal Phase Transitions in a Two-Dimensional Spin System |
| WANG Bo1, HUANG Hai-Lin2, SUN Zhao-Yu2**, KOU Su-Peng1 |
1Department of Physics, Beijing Normal University, Beijing 100875
2School of Electrical and Electronic Engineering, Wuhan Polytechnic University, Wuhan 430000
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WANG Bo, HUANG Hai-Lin, SUN Zhao-Yu et al 2012 Chin. Phys. Lett. 29 120301 |
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Abstract We investigate the ability of quantum fidelity in detecting the classical phase transitions (CPTs) in a two-dimensional Heisenberg–Ising mixed spin model, which has a very rich phase diagram and is exactly soluble. For a two-site subsystem of the model, the reduced fidelity (including the operator fidelity and the fidelity susceptibility) at finite temperatures is calculated, and it is found that an extreme value presents at the critical temperature, thus shows a signal for the CPTs. In some parameter region, the signal becomes blurred. We propose to use the "normalized fidelity susceptibility" to solve this problem.
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Received: 04 June 2012
Published: 04 March 2013
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