Geometric phases induced in auxiliary qubits by many-body systems near its critical points
Quantum Physics
2009-11-13 v1
Abstract
The geometric phase induced in an auxiliary qubit by a many-body system is calculated and discussed. Two kinds of coupling between the auxiliary qubit and the many-body system are considered, which lead to dephasing and dissipation in the qubit, respectively. As an example, we consider the XY spin-chain dephasingly couple to a qubit, the geometric phase induced in the qubit is presented and discussed. The results show that the geometric phase might be used to signal the critical points of the many-body system, and it tends to zero with the parameters of the many-body system going away from the critical points.
Cite
@article{arxiv.quant-ph/0703049,
title = {Geometric phases induced in auxiliary qubits by many-body systems near its critical points},
author = {X. X. Yi and W. Wang},
journal= {arXiv preprint arXiv:quant-ph/0703049},
year = {2009}
}