Charge and energy transport in time-dependently driven electron - PowerPoint PPT Presentation

Charge and energy transport in time-dependently driven electron systems Janine Splettstößer Applied Quantum Physics, MC2, Chalmers University of Technology College on Energy Transport and Energy Conversion in the Quantum Regime ICTP Trieste, August 2019

Charge and energy transport in time-dependently driven electron systems (ohio.edu)

Quantum-dot systems L R Discrete spectrum! U Lund (Xu) RWTH Aachen (Stampfer) U Würzburg (Molenkamp)

Quantum-dot systems Transport spectroscopy — single-electron transistor L R U Lund (Xu) U Würzburg (Molenkamp) RWTH Aachen (Stampfer)

Quantum-dot systems Transport spectroscopy — single-electron transistor L R U Lund (Xu) U Würzburg (Molenkamp) RWTH Aachen (Stampfer)

Quantum-dot systems Transport spectroscopy — single-electron transistor L R U Lund (Xu) U Würzburg (Molenkamp) RWTH Aachen (Stampfer)

Decay of charge and energy from a dot after a (potential) switch (Example 2) How is energy transferred/dissipated in time-dependent systems? see, e.g., N. Ubbelohde, et al. : Nat. Nanotechnol. 10 , 46 (2015); ◮ Heat current → two modes, second can dominate the heat decay: I Q = a c e − γ c t + a p e − γ p t ◮ γ p depends on bare coupling only and is the biggest rate 1 ) a p / ( U Γ) 0.5 Signatures of attractive 0 ◮ Coulomb interaction − U/ 2 -0.5 -1 - U 0 � 0 − µ J. Schulenborg, R. B. Saptsov, F. Haupt, J. Splettstoesser, M. R. Wegewijs: Phys. Rev. B 93 , 081411 (2016); J. Schulenborg, A. Di Marco, J. Vanherck, M. R. Wegewijs, J. Splettstoesser: Entropy 19 , 668 (2017); J. Schulenborg, J. Splettstoesser, M. R. Wegewijs: Phys. Rev. B 98 , 235405 (2018).

Double dot pump - Carnot heat engine (Example 1) ◮ Working principle of the double-dot cyclic heat engine time-dependent coupling and decoupling to heat baths ◮ Similarities and differences with the classical counterpart S. Juergens, F. Haupt, M. Moskalets, J. Splettstoesser: Phys. Rev. B 87 , 245423 (2013)