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DY: Fachverband Dynamik und Statistische Physik
DY 50: Quantum Dynamics, Decoherence and Quantum Information (joint session DY/TT)
DY 50.6: Talk
Wednesday, March 14, 2018, 17:00–17:15, EB 107
Non-Markovian Quantum Dynamics - On the way to real-time simulations of heat engines — •Michael Wiedmann, Jürgen T. Stockburger, and Joachim Ankerhold — Institute for Complex Quantum Systems, Ulm University, Albert-Einstein- Allee 11, D-89069 Ulm
The experimental miniaturization of heat engines down to the single-atom level questions classical concepts such as work and heat flux. In the regime of higher temperatures, well-established theories from classical thermodynamics apply, where surrounding heat baths exchange energy and particles with a much smaller system of interest. Quantum mechanically, the situation is more intricate though. The non-locality of quantum mechanical wave functions induces system-reservoir correlations and entanglement which may have profound impact on thermodynamic properties, particularly for condensed phase systems at cryogenic temperatures. The fully dynamical approach of the stochastic Liouville-von Neumann equation (SLN) builds an exact, time-local and non-perturbative framework to tackle non-Markovian dynamics at low temperatures, for arbitrarily driven systems and strong coupling [1]. With emphasis on particularities induced by anharmonic potentials, we present an efficient real-time propagation scheme for a single quantum oscillator coupled to dissipative reservoirs. Aspects of work and heat flux are analyzed in the regime of strong system-reservoir couplings and in the context of reservoir fluctuations far from equilibrium.
[1] M. Wiedmann et al., Phys. Rev. A 94, 052137 (2016).