Geometric phases and quantum phase transitions in open systems
arXiv:0806.3529 · doi:10.1103/PhysRevE.78.015202
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.
ReVTeX style, 6 figures. Accepted for publication in Phys. Rev. E (Rapid Communication)
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- Non-Hermitian Quantum Annealing in the Antiferromagnetic Ising Chain
- Amplitude control of a quantum state in a non-Hermitian Rice-Mele model driven by an external field
- Dynamics of geometric phase in the adiabatic limit of quantum phase transition
- Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points
- Classical correspondence of the exceptional points in the finite non-Hermitian system