6533b824fe1ef96bd1280905
RESEARCH PRODUCT
Uniform analytic description of dephasing effects in two-state transitions
Nikolay V. VitanovNikolay V. VitanovLeonid P. YatsenkoHans-rudolf JauslinStéphane GuérinX. Lacoursubject
Condensed Matter::Quantum GasesPhysicsDensity matrixQuantum decoherenceLindblad equationDephasingDiabaticTime evolutionCondensed Matter::Mesoscopic Systems and Quantum Hall Effect01 natural sciencesAtomic and Molecular Physics and Optics010305 fluids & plasmasSchrödinger equationsymbols.namesakeQuantum mechanics0103 physical sciencessymbols010306 general physicsAdiabatic processdescription
We describe the effect of pure dephasing upon the time-dependent dynamics of two-state quantum systems in the framework of a Lindblad equation for the time evolution of the density matrix. A uniform approximate formula is derived, which modifies the corresponding lossless transition probability by an exponential factor containing the dephasing rate and the interaction parameters. This formula is asymptotically exact in both the diabatic and adiabatic limits; comparison with numerical results shows that it is highly accurate also in the intermediate range. Several two-state models are considered in more detail, including the Landau-Zener, Rosen-Zener, Allen-Eberly, and Demkov-Kunike models, along with several other models, such as a Gaussian model and a Landau-Zener model with a pulsed coupling.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-27 | Physical Review A |