Shi-Ju Ran, Bin Xi, Tao Liu, Gang Su
We develop a nonlinear dynamic theory based on the tensor network state representation that is termed as network catalyzer dynamics (NCD) to explore the thermodynamic properties of two-dimensional quantum lattice models. An imaginary-time-sweep algorithm for implementation of the NCD method is proposed for practical numerical simulations. The results obtained by the NCD are disclosed nicely in agreement with the quantum Monte Carlo calculations. The quasi-entanglement entropy $S$, Lyapunov exponent $I^{lya}$ and loop character $I^{loop}$ are introduced within the dynamic scheme, which are found to display the "nonlocality" near the critical point, and can be good characters to detect the thermodynamic phase transitions.
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http://arxiv.org/abs/1301.6439
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