Alexander I. Nesterov, S. G. Ovchinnikov
Published 2008-06-22Version 1
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.
Comments: ReVTeX style, 6 figures. Accepted for publication in Phys. Rev. E (Rapid Communication)
Journal: Phys.Rev.E78:015202,2008
Complex magnetic monopoles, geometric phases and quantum evolution in vicinity of diabolic and exceptional points
Threshold for Non-Thermal Stabilization of Open Quantum Systems
Mappings of open quantum systems onto chain representations and Markovian embeddings
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