TY - JOUR
T1 - Characterizing entanglement by momentum jump in the frustrated Heisenberg ring at a quantum phase transition
AU - Qian, Xiao Feng
AU - Shi, Tao
AU - Li, Ying
AU - Song, Z.
AU - Sun, C. P.
PY - 2005/7
Y1 - 2005/7
N2 - We study the pairwise concurrences, a measure of entanglement, of the ground states for the frustrated Heisenberg ring to explore the relation between entanglement and quantum phase transition associated with the momentum jump. The ground-state concurrences between any two sites are obtained analytically and numerically. It shows that the summation of all possible pairwise concurrences is an appropriate candidate to depict the phase transition. We also investigate the role that the momentum takes in the jump of concurrence at the critical points. We find that an abrupt momentum change results in the maximal concurrence difference of two degenerate ground states.
AB - We study the pairwise concurrences, a measure of entanglement, of the ground states for the frustrated Heisenberg ring to explore the relation between entanglement and quantum phase transition associated with the momentum jump. The ground-state concurrences between any two sites are obtained analytically and numerically. It shows that the summation of all possible pairwise concurrences is an appropriate candidate to depict the phase transition. We also investigate the role that the momentum takes in the jump of concurrence at the critical points. We find that an abrupt momentum change results in the maximal concurrence difference of two degenerate ground states.
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U2 - 10.1103/PhysRevA.72.012333
DO - 10.1103/PhysRevA.72.012333
M3 - Article
AN - SCOPUS:27144531650
SN - 1050-2947
VL - 72
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 012333
ER -