caa a22 4500 445886234 CHVBK 20180317145600.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11128-010-0178-x doi (NATIONALLICENCE)springer-10.1007/s11128-010-0178-x Geometric phase as a determinant of a qubit- environment coupling [Elektronische Daten] [J. Dajka, J. Łuczka, P. Hänggi] We investigate the qubit geometric phase and its properties in dependence on the mechanism for decoherence of a qubit weakly coupled to its environment. We consider two sources of decoherence: dephasing coupling (without exchange of energy with environment) and dissipative coupling (with exchange of energy). Reduced dynamics of the qubit is studied in terms of the rigorous Davies Markovian quantum master equation, both at zero and non-zero temperature. For pure dephasing coupling, the geometric phase varies monotonically with respect to the polar angle (in the Bloch sphere representation) parameterizing an initial state of the qubit. Moreover, it is antisymmetric about some points on the geometric phase-polar angle plane. This is in distinct contrast to the case of dissipative coupling for which the variation of the geometric phase with respect to the polar angle typically is non-monotonic, displaying local extrema and is not antisymmetric. Sensitivity of the geometric phase to details of the decoherence source can make it a tool for testing the nature of the qubit-environment interaction. Springer Science+Business Media, LLC, 2010 Geometric phase nationallicence Dephasing nationallicence Dissipation nationallicence Open system nationallicence Davies theory nationallicence Dajka J. Institute of Physics, University of Silesia, 40-007, Katowice, Poland aut Łuczka J. Institute of Physics, University of Silesia, 40-007, Katowice, Poland aut Hänggi P. Institute of Physics, University of Augsburg, 86135, Augsburg, Germany aut Quantum Information Processing Springer US; http://www.springer-ny.com 10/1(2011-02-01), 85-96 1570-0755 10:1<85 2011 10 11128 https://doi.org/10.1007/s11128-010-0178-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0178-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dajka J. Institute of Physics, University of Silesia, 40-007, Katowice, Poland aut NATIONALLICENCE 700 1- Łuczka J. Institute of Physics, University of Silesia, 40-007, Katowice, Poland aut NATIONALLICENCE 700 1- Hänggi P. Institute of Physics, University of Augsburg, 86135, Augsburg, Germany aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/1(2011-02-01), 85-96 1570-0755 10:1<85 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer