1211.5302 (Pedro Bargueño et al.)

Dissipative and stochastic geometric phase of a qubit within a canonical
Langevin framework    [PDF]

Pedro Bargueño, S. Miret-Artés

Dissipative and stochastic effects in the geometric phase of a qubit are taken into account using a geometrical description of the corresponding open--system dynamics within a canonical Langevin framework based on a Caldeira--Leggett like Hamiltonian. By extending the Hopf fibration $S^{3}\to S^{2}$ to include such effects, the exact geometric phase for a dissipative qubit is obtained, whereas numerical calculations are used to include finite temperature effects on it.

View original: http://arxiv.org/abs/1211.5302