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Journal of Statistical Physics

, Volume 145, Issue 6, pp 1458–1471 | Cite as

Violation of the Zeroth Law of Thermodynamics for a Non-ergodic Interaction

  • B. Gaveau
  • L. S. Schulman
Article
  • 74 Downloads

Abstract

The phenomenon described by our title should surprise no one. What may be surprising though is how easy it is to produce a quantum system with this feature; moreover, that system is one that is often used for the purpose of showing how systems equilibrate. The violation can be variously manifested. In our detailed example, bringing a detuned 2-level system into contact with a monochromatic reservoir does not cause it to relax to the reservoir temperature; rather, the system acquires the reservoir’s level-occupation-ratio.

Keywords

Quantum statistical mechanics Zeroth law of thermodynamics Non-equilibrium stationary state 

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References

  1. 1.
    Arnold, V.I., Avez, A.: Ergodic Problems of Classical Mechanics. Benjamin, New York (1968) Google Scholar
  2. 2.
    Reif, F.: Fundamentals of Statistical and Thermal Physics, p. 104. Waveland Press, Long Grove (2009) Google Scholar
  3. 3.
    Scully, M.O., Zubairy, M.S.: Quantum Optics, §8.2. Cambridge Univ. Press, Cambridge (1997) Google Scholar
  4. 4.
    Schulman, L.S.: Decoherence induced equilibration. Found. Phys. 37, 1716–1726 (2007) CrossRefMATHADSMathSciNetGoogle Scholar
  5. 5.
    Erez, N., Gordon, G., Nest, M., Kurizki, G.: Thermodynamic control by frequent quantum measurements. Nature 452, 724–727 (2008) CrossRefADSGoogle Scholar
  6. 6.
    Lizuain, I., Casanova, J., García-Ripoll, J.J., Muga, J.G., Solano, E.: Zeno physics in ultrastrong-coupling circuit QED. Phys. Rev. A 81, 062131 (2010) CrossRefADSGoogle Scholar
  7. 7.
    Schulman, L.S., Gaveau, B.: Ratcheting up energy by means of measurement. Phys. Rev. Lett. 97, 240405 (2006) CrossRefADSGoogle Scholar
  8. 8.
    Gardiner, C.W.: Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd edn., §7.2. Springer, Berlin (1985) Google Scholar
  9. 9.
    Einstein, A.: Zur Quantentheorie der Strahlung. Phys. Zeit. 18, 121–128 (1917) Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Laboratoire analyse et physique mathématiqueParisFrance
  2. 2.Physics DepartmentClarkson UniversityPotsdamUSA

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