Geometric phases in open systems: an exact model to study how they are corrected by decoherence

FERNANDO C. LOMBARDO & PAULA I. VILLAR

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

American Physical Society, APS, Ridge

Lugar: New York, EEUU; Año: 2006 vol. 74 p. 42311 - 42316

1050-2947

We calculate the geometric phase for an open system spin-boson model which interacts with an environment ohmic or nonohmic at arbitrary temperature. However there have been many assumptions about the time scale at which the geometric phase can be measured, there has been no reported observation of geometric phases for mixed states under nonunitary evolution yet. We study not only how they are corrected by the presence of the different type of environments but estimate the corresponding times at which decoherence becomes effective as well. These estimations should be taken into account when planning experimental setups to study the geometric phase in the nonunitary regime, particularly important for the application of fault-tolerant quantum computation.