Dissipative tunneling through a parabolic potential in the Lindblad theory of open quantum systems
Department of Theoretical Physics, Institute of Atomic Physics,
2 Institut für Theoretische Physik der Justus-Liebig-Universität, Giessen, Germany
Revised: 5 January 2000
Published online: 15 October 2000
By using the Lindblad theory for open quantum systems, an analytical expression of the tunneling probability through an inverted parabola is obtained. This penetration probability depends on the environment coefficients. It is shown that the tunneling probability increases with the dissipation and the temperature of the thermal bath.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 05.30.-d – Quantum statistical mechanics / 05.40.Jc – Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000