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Phys. Rev. Lett. 84, 1374 - 1377 (2000)

Completely Positive Quantum Dissipation

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Bassano Vacchini
Dipartimento di Fisica dell'Università di Milano and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milan, Italy
and Fachbereich Physik, Philipps-Universität, Renthof 7, D-35032 Marburg, Germany

Received 9 April 1999

A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation can be cast into Lindblad form with a single generator for each Cartesian direction. Temperature dependent friction and diffusion coefficients for both position and momentum are expressed in terms of the collision cross section.


©2000 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.84.1374
DOI: 10.1103/PhysRevLett.84.1374
PACS: 05.40.Jc, 03.65.Ca, 03.65.Sq, 05.60.Gg

See Also

Comment: R. F. O'Connell, Comment on “Completely Positive Quantum Dissipation”, Phys. Rev. Lett. 87, 028901 (2001)

Reply: Bassano Vacchini, Vacchini Replies:, Phys. Rev. Lett. 87, 028902 (2001)

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