A. Ramak* J. Mravlje R. itko J. Bona* T. Rejec* The Kondo effect in multiple quantum dot systemsDepartment of Physics Faculty of Mathematics and Physics University of Ljubljana * Outline (1) Kondo (2) Multiple quantum dot systems (3) Entanglement Conductance Conductance Conductance of non-interacting systems : U=0 Anderson model : U > 0 Kondo effect in a quantum dot Test: single quantum dot Anderson model with negative-U decrease J. Mravlje, A. Ramak, and T. Rejec, Phys. Rev. B 72, (R) (2005) Double quantum dot J. Mravlje, A. Ramak, and T. Rejec, Phys. Rev. B 73, (R) (2006) Double quantum dot 2 Kondo AFM 1 Kondo t t Double quantum dot 2 Kondo AFM 1 Kondo t t Double quantum dot 2 Kondo AFM 1 Kondo t t Triple quantum dot Entanglement in double quantum dots (concurrence) A B Concurrence A B A B A B A B...... Concurrence A B Double quantum dots: entanglement versus the Kondo effect Thermal equilibrium A-B entanglement Zero magnetic field, thermal equilibrium A B A B A B A B A B Double quantum dots: entanglement versus the Kondo effect A. Ramak, J. Mravlje, R. itko, and J. Bona, quant-ph/ Double quantum dots: entanglement versus the Kondo effect