Berlin 2015 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 57: Transport: Fluctuations and Noise (jointly with CPP, DY)
TT 57.5: Vortrag
Mittwoch, 18. März 2015, 12:30–12:45, H 3005
Distribution of energy dissipated by a driven two-level system — •Philip Wollfarth1,2, Alexander Shnirman1,2, and Yasuhiro Utsumi3 — 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany — 2DFG Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany — 3Department of Physics Engineering, Faculty of Engineering, Mie University, Tsu, Mie, 514-8507, Japan
In the context of fluctuation relations, we study the distribution of energy dissipated by a driven two-level system. Incorporating an energy counting field into the well known spin-boson model enables us to calculate the distribution function of the amount of energy exchanged between the system and the bath. We also derive the conditional distribution functions of the energy exchanged with the bath for particular initial and/or final states of the two-level system. We confirm the symmetry of the conditional distribution function expected from the theory of fluctuation relations. We also find that the conditional distribution functions acquire considerable quantum corrections at times shorter or of the order of the dephasing time. Our findings can be tested using solid-state qubits.
[1] P. Wollfarth, A. Shnirman, Y. Utsumi,
Phys. Rev. B 90, 165411 (2014).