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Energy Current and Energy Fluctuations in Driven Quantum Wires

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Nanotechnology in the Security Systems

Abstract

We discuss the energy current and the energy fluctuations in an isolated quantum wire driven far from equilibrium. The system consists of interacting spinless fermions and is driven by a time-dependent magnetic flux. The energy current is defined by the continuity equation for the energy density which is derived both for homogeneous as well as for inhomogeneous systems. Since the total energy is not conserved in the driven system, the continuity equation includes the source terms which are shown to represent the Joule heating effects. For short times and weak drivings the energy current agrees with the linear response theory. For stronger fields or longer times of driving the system enters the quasiequilibrium regime when the energy current gradually diminishes due to the heating effects. Finally, for even stronger driving the energy current is shown to undergo a damped Bloch oscillations. The energy spread also increases upon driving. However, the time-dependence of this quantity in the low field regime is quite unexpected since it is determined mostly by the time of driving being quite independent of the instantaneous energy of the system.

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Acknowledgements

This work has been carried out within the NCN project “Nonequilibrium dynamics of correlated quantum systems”. D.C. acknowledges a scholarship from the FORSZT project, co-funded by the European Social Fund.

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Authors and Affiliations

  1. Institute of Physics, University of Silesia, 40-007, Katowice, Poland

    D. Crivelli & M. Mierzejewski

  2. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

    P. Prelovšek

  3. J. Stefan Institute, SI-1000, Ljubljana, Slovenia

    P. Prelovšek

Authors
  1. D. Crivelli
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  2. M. Mierzejewski
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  3. P. Prelovšek
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Corresponding author

Correspondence to M. Mierzejewski .

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Editors and Affiliations

  1. Faculty of Mathematics and Physics, University of Ljubljana and Department of Theoretical Physics, J. Stefan Institute, Ljubljana, Slovenia

    Janez Bonča

  2. Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine

    Sergei Kruchinin

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Crivelli, D., Mierzejewski, M., Prelovšek, P. (2015). Energy Current and Energy Fluctuations in Driven Quantum Wires. In: Bonča, J., Kruchinin, S. (eds) Nanotechnology in the Security Systems. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9005-5_8

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