Quantum thermodynamics of systems with anomalous dissipative coupling.

  title={Quantum thermodynamics of systems with anomalous dissipative coupling.},
  author={Alessandro Cuccoli and A. Fubini and V. Tognetti and Ruggero Vaia},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={64 6 Pt 2},
  • A. Cuccoli, A. Fubini, R. Vaia
  • Published 3 September 2001
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The standard system-plus-reservoir approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion differs from the Langevin equation, so this is called anomalous dissipation. It occurs for systems where such coupling can indeed be derived from the physical analysis of the degrees of freedom that can be treated as a dissipation bath. Starting from the influence… 

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New Developments on Fundamental Problems in Quantum Physics


  • Rev. B 30, 1208
  • 1984

and R

  • F. O’Connell, Phys. Rev. A 37, 4419
  • 1988


  • Rev. E 55, 4849
  • 1997


  • Rev. E 60, 231
  • 1999

Quantum Dissipative Systems (World Scientific, Singapore

  • 2nd edition,
  • 1999


  • Rev. Lett. 55, 912
  • 1985

Physica 32

  • 27, 56, 54, 90
  • 1966


  • Rev. A 38, 1521 (1988); 38, 1638
  • 1988


  • Lett. A 197, 335
  • 1995