Geometric phases and quantum phase transitions in open systems

Details Geometric phases and quantum phase transitions in open systems Geometric phases and quantum phase transitions in open systems

2008-06-22

arxiv.org/abs/0806.3529v1

Phys.Rev.E78:015202,2008

Physics

Quantum Physics

ReVTeX style, 6 figures. Accepted for publication in Phys. Rev. E (Rapid Communication)

Scientific paper

10.1103/PhysRevE.78.015202

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.

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