TY - JOUR
ID - 1617
TI - Non-local order parameter for topological phase transition in the
quantum toric code
JO - Iranian Journal of Physics Research
JA - IJPR
LA - en
SN - 1682-6957
AU - Zarei, M H
AD - Department of Physics, School of Science, Shiraz University, Shiraz, Iran
Y1 - 2020
PY - 2020
VL - 20
IS - 2
SP - 281
EP - 291
KW - topological phase transition
KW - quantum toric code
KW - non-local order parameter
KW - Ising model
DO - 10.47176/ijpr.20.2.38251
N2 - It has been known that by encoding the Boltzmann weights of a classical Ising model in the amplitudes of the wave function of the ground state of the toric code model, the classical phase transition in Ising model is mapped to a topological phase transition in a perturbed toric code model. Since such topological phase transitions cannot be characterized by any local order parameter, it will be an important challenge to find an order parameter which describes the above topological phase transition. In this paper, using a simple technic based on mapping between classical Ising model and the ground state of the toric code model, we find a non-local order parameter which well reveals the topological nature of the above phase transition. We show that such an order parameter is, in fact, a kind of string order parameter which has been recently introduced for some topological phase transitions.
UR - https://ijpr.iut.ac.ir/article_1617.html
L1 - https://ijpr.iut.ac.ir/article_1617_fe9316c5b9a72c563be32f9aae56df4e.pdf
ER -