Dresden 2014 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 39: Transport: Quantum Coherence and Quantum Information Systems - Theory II
TT 39.4: Vortrag
Dienstag, 1. April 2014, 11:30–11:45, BEY 81
Applying stochastic Bloch-Redfield theory to transport in Josephson junction arrays — •Nicolas Vogt1,2, Alexander Shnirman1,2, and Jared H. Cole3 — 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, Karlsruhe, Germany — 2DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, Karlsruhe, Germany — 3Chemical and Quantum Physics, School of Applied Sciences, RMIT University, Melbourne, Australia
Electrical transport in Josephson junction arrays in the Coulomb-blockade regime has been studied using several different theoretical models. Frequently used models include the sine-Gordon equation for the charge on the capacitances in the array and kinetic Monte-Carlo simulations of the incoherent tunneling of the charge-carrier through the array. These models either include coherent Cooper pair tunneling or microscopic dissipation but not both. Simulations of the full quantum-mechanical system including decoherence are problematic due to the unfavourable scaling of standard master-equations with system size. We use a stochastic unraveling of the Bloch-Redfield equation analogous to the established quantum jump unravelling of the Lindblad equation to obtain the time-evolution of a Josephson junction array coupled to a solid-state environment.