Quantum phase transition and ground state entanglement of the quantum spin system: a MERA study

We use the multi-scale entanglement reorganization ansatz algorithm to simulate the spin 1/2 quantum XYX model and determine its ground-state phase diagram and entanglement phase diagram by using local order parameter and characterizing quantum entanglement: one-tangle, concurrence, and entanglement ratio R. We find that the information in entanglement phase diagram is more than in ground-state phase diagram. In addition, we extract the critical exponents beta and nu from the numerical data near critical point.