The local approach to quantum transport may violate the second law of thermodynamics

@article{Levy2014TheLA,
  title={The local approach to quantum transport may violate the second law of thermodynamics},
  author={Amikam Levy and Ronnie Kosloff},
  journal={EPL},
  year={2014},
  volume={107},
  pages={20004}
}
Clausius statement of the second law of thermodynamics reads: Heat will flow spontaneously from a hot to cold reservoir. This statement should hold for transport of energy through a quantum network composed of small subsystems each coupled to a heat reservoir. When the coupling between nodes is small, it seems reasonable to construct a local master equation for each node in contact with the local reservoir. The energy transport through the network is evaluated by calculating the energy flux… Expand

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References

SHOWING 1-10 OF 28 REFERENCES
Modeling heat transport through completely positive maps.
TLDR
An alternative master equation is derived that is capable of describing a stationary energy current and, at the same time, leads to a completely positive dynamical map that paves the way for efficient numerical investigations of heat transport in larger systems based on Monte Carlo wave function techniques. Expand
Quantum bath refrigeration towards absolute zero: challenging the unattainability principle.
TLDR
The temperature scaling of the cold-bath cooling rate reveals that it does not vanish as T→0 for certain realistic quantized baths, e.g., phonons in strongly disordered media (fractons) or quantized spin waves in ferromagnets (magnons). Expand
Laser cooling of a nanomechanical resonator mode to its quantum ground state.
TLDR
It is shown that it is possible to cool a nanomechanical resonator mode to its ground state through resonant laser excitation of a phonon sideband of an embedded quantum dot. Expand
Quantum Transport and Electroweak Baryogenesis
We review the mechanism of electroweak baryogenesis. Our focus is on the derivation of quantum transport equations from first principles within the Schwinger–Keldysh formalism. We emphasize theExpand
Open Quantum Systems
Die Operatortheorie beschäftigt sich mit der Analyse linearer Abbildungen auf unend-lichdimensionalen R ¨ aumen. Einen besonderen Schwerpunkt bildet dabei die Spektral-theorie, dieExpand
Annual Review of Physical Chemistry, 2015
Physical chemistry is a vast subject with ever-increasing radius of influence on other fields of study. Gone are the days when one could easily keep up with the forefronts of research by thumbingExpand
Open Quantum Systems (Oxford
  • 2002
Communications in mathematical Physics 39
  • 91
  • 1974
Physical Review Letters 112
  • 013601
  • 2014
Entropy 15
  • 2100
  • 2013
...
1
2
3
...