Article
Geometric phases and quantum phase transitions in open systems
Fecha
2008Registro en:
10.1103/PhysRevE.78.015202
Autor
Nesterov, A.I.
Ovchinnikov, S.G.
Institución
Resumen
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. © 2008 The American Physical Society.