Geometric phases and quantum phase transitions in open systems
Quantum Physics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the geometric phase associated with the ground state of the one-dimensional dissipative Ising model in a transverse magnetic field is evaluated, and it is demonstrated that related quantum phase transition is of the first order.
Cite
@article{arxiv.0806.3529,
title = {Geometric phases and quantum phase transitions in open systems},
author = {Alexander I. Nesterov and S. G. Ovchinnikov},
journal= {arXiv preprint arXiv:0806.3529},
year = {2008}
}
Comments
ReVTeX style, 6 figures. Accepted for publication in Phys. Rev. E (Rapid Communication)