title: Geometric phases and quantum phase transitions in open systems.
abstract: The relationship is established between quantum phase transitions and complex geometric phases for open quantum systems governed by a non-Hermitian effective Hamiltonian with accidental crossing of the eigenvalues. 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 the related quantum phase transition is of the first order.
authors.affiliation: Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, Codigo Postal 44420, Jalisco, México. nesterov@cencar.udg.mx
authors.forename: Alexander I
authors.initials: AI
authors.lastname: Nesterov
authors.forename: S G
authors.initials: SG
authors.lastname: Ovchinnikov