Slava Kashcheyevs (Uni Latvia) Thermo 2013, RWTH Aachen, November 25, 2013 VK and J.Timoshenko, Phys. Rev. Lett. 109, (2012) L. Fricke et al, Phys. Rev. Lett. 110, (2013) S. S Fahlvik Svensson et al, New J Phys 15, (2013)

Quantum coherence Coulomb interactions Non- equillibrium Coulomb interactions

 Single spinless level coupled to a Fermi lead  Exactly solvable for any  Phase memory can be neglected if: non-Markovian effects if violated! - timescale of decoupling, e.g. equilibrium (coupling=const) equilibrium (coupling=const) Jauho,Meir, Wingreen’94

Flensberg, Pustilnik, Niu’1999 “Plunger-to-barrier” ratio (crosscoupling strength) Δ ptb breaks particle- hole symmetry! VK, Timoshenko, ’2013

adaiabtic decoupled Non-perturbative, non-Markovian asymptotics dominates the tail!

V1V1 1 0 V2V2 Decouple Couple LOAD UNLOAD Moving the decoupling point determines the captured charge (=moves ) V2V2 I/(ef) 0 1 capture 0 capture 1  capture  isolate  eject Data: L.Fricke, Uni.Hannover

Quantum coherence Non- equillibrium

Quantum coherence Coulomb interactions Non- equillibrium Coulomb interactions

Need both excitation and backtunneling: Balancing the interferometer!

 Non-adiabatic excitation (Landau-Zener)  Adiabatic “elevator”

Quantum coherence Coulomb interactions Non- equillibrium

Quantum coherence Coulomb interactions Non- equillibrium

Quantum coherence Coulomb interactions Non- equillibrium - ?

 Adiabatic side of the disequlibration crossover:

Load Hold Detect!

 Rate equations for the slow degree of freedom:  detailed balance:  Transitions n-1↔n “freeze” sequentially as Fermi function See M. Esposito’s talk!

 Final capture probability: follows equilibium Non-adiabatic decay Adiabatic constant Backtunneling onset VK and B.Kaestner, Phys. Rev. Lett. 104, (2010)

Data: PTB group; Hohls et al, PRL’2012 Rescaled gate voltage Simple fitting formulas if backtunneling dominates

 Generalized grand canonical (thermal)  Phenomenological parametric ansatz  Generalized decay cascade (athermal) L. Fricke et al, Phys. Rev. Lett. 110, (2013)

 Equlibrium Anderson model is rich & well-studied  RG for gradual quenches?  Dynamical scaling near “quantum critical” point?  Spin and orbital intradot excitations: ◦ Spin-charge separation in mixed-valence/Kondo transition ◦ See talk by Heiner Linke! Quantum coherence Coulomb interactions Non- equillibrium VK, Karrasch, Hecht, Weichselbaum, Meden, Schiller PRL’09

S. S Fahlvik Svensson et al, New J Phys 15, (2013)