• Corpus ID: 251564789

On the First Law of Thermodynamics in Time-Dependent Open Quantum Systems

@inproceedings{Kumar2022OnTF,
  title={On the First Law of Thermodynamics in Time-Dependent Open Quantum Systems},
  author={Parthasarathi Ajit Kumar and Charles A. Stafford},
  year={2022}
}
How to rigorously define thermodynamic quantities such as heat, work, and internal energy in open quantum systems driven far from equilibrium remains a significant open question in quantum thermodynamics. Heat is a quantity whose fundamental definition applies only to processes in systems infinitesimally perturbed from equilibrium, and as such, must be accounted for carefully in strongly-driven systems. In this work, an unambiguous operator for the internal energy of an interacting time-dependent… 

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References

SHOWING 1-10 OF 50 REFERENCES

First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for isolated and open

Stochastic thermodynamics, fluctuation theorems and molecular machines

  • U. Seifert
  • Physics
    Reports on progress in physics. Physical Society
  • 2012
Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.

Colloquium: Quantum fluctuation relations: Foundations and applications

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs

Experimental verification of Landauer’s principle linking information and thermodynamics

It is established that the mean dissipated heat saturates at the Landauer bound in the limit of long erasure cycles, demonstrating the intimate link between information theory and thermodynamics and highlighting the ultimate physical limit of irreversible computation.

Time-dependent transport in interacting and noninteracting resonant-tunneling systems.

Analytical and numerical results for the exactly solvable noninteracting resonant-tunneling system are presented, and a connection to recent linear-response calculations, and to earlier studies of electron-phonon scattering effects in resonant tunneling is established.

Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical

The question of how classical systems approach thermal equilibrium is as old as the foundations of thermodynamics and statistical mechanics. How quantum systems decohere and thermalize is even more

Quantum thermodynamics of the driven resonant level model

We present a consistent thermodynamic theory for the resonant level model in the wide-band limit, whose level energy is driven slowly by an external force. The problem of defining ``system'' and

Adiabatic turn-on and the asymptotic limit in linear-response theory for open systems.

It is shown that a simpler derivation of the Landauer-Buttiker equations may be obtained consistently from the bulk ubo term, noting that surface terms arising here are nonvanishing because they involve the opposite order of limits.

Aspects of quantum work.

This work analyzes a recently proposed work meter for the case of a Gaussian pointer state and compares it with the results obtained by two projective and, alternatively, two Gaussian measurements.