Monday, November 26, 2012

1211.5302 (Pedro Bargueño et al.)

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

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