TY - JOUR
T1 - Quantum phase transitions in matrix product systems
AU - Wolf, Michael M.
AU - Ortiz, Gerardo
AU - Verstraete, Frank
AU - Cirac, J. Ignacio
PY - 2006
Y1 - 2006
N2 - We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of "conventional" QPTs.
AB - We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of "conventional" QPTs.
UR - http://www.scopus.com/inward/record.url?scp=33748702689&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.97.110403
DO - 10.1103/PhysRevLett.97.110403
M3 - Article
AN - SCOPUS:33748702689
SN - 0031-9007
VL - 97
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
M1 - 110403
ER -