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Adiabatic Processes for an Ideal Gas01:18

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When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Decoherence in adiabatic quantum evolution: application to cooper pair pumping.

J P Pekola1, V Brosco, M Möttönen

  • 1Low Temperature Laboratory, Aalto University, P.O. Box 13500, FI-00076 Aalto, Finland.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Adiabatic control theory faces challenges with dissipation. This study develops a master equation for open quantum systems, showing ground state dynamics are unaffected by environment at zero temperature, robust in Cooper pair pumping.

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Area of Science:

  • Quantum mechanics
  • Quantum control theory
  • Open quantum systems

Background:

  • Adiabatic control theory struggles to incorporate dissipation effects.
  • Understanding open quantum systems is crucial for quantum technologies.
  • Dissipation can disrupt quantum state evolution.

Purpose of the Study:

  • To develop a generalized master equation for open two-level quantum systems.
  • To consistently model the interplay of driving and dissipation.
  • To investigate the impact of dissipation on adiabatic dynamics.

Main Methods:

  • Derivation of a generalized master equation.
  • Analysis of adiabatic dynamics in the zero-temperature limit.
  • Application to Cooper pair pumping as a case study.

Main Results:

  • The derived master equation consistently accounts for driving and dissipation.
  • In the zero-temperature limit, the ground state dynamics remain unaffected by the environment.
  • Cooper pair pumping exemplifies the robustness of ground state adiabatic evolution.

Conclusions:

  • The developed theory provides a robust framework for adiabatic control in open quantum systems.
  • Ground state adiabatic evolution is resilient to environmental effects at zero temperature.
  • This work has implications for designing robust quantum control protocols.