Open AccessQuantum phase transition and ground state entanglement of the quantum spin system: a MERA study
Author(s) -
Jun Zhao,
Haitao Wang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.210502
Subject(s) - quantum entanglement , physics , quantum phase transition , phase diagram , quantum mechanics , w state , ground state , quantum discord , entanglement witness , critical point (mathematics) , ansatz , quantum phases , quantum critical point , critical exponent , squashed entanglement , multipartite entanglement , concurrence , quantum , phase (matter) , phase transition , mathematics , geometry
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 β and ν from the numerical data near critical point.