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Phys. Rev. Lett. 76, 4660–4663 (1996)

Dissipation and Decoherence in Mean Field Theory

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Salman Habib1, Yuval Kluger1,2, Emil Mottola1, and Juan Pablo Paz3
1Theoretical Division, Los Alamos National Laboratory, MS B285, Los Alamos, New Mexico 87545
2Nuclear Science Division, Lawrence Berkeley National Laboratory, MS 70A-3307, Berkeley, California 94720
3Departamento de Fisica, FCEN, UBA, Pabellon 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina

Received 29 September 1995; published in the issue dated 17 June 1996

The time evolution of a closed system of mean fields and fluctuations is Hamiltonian, with the canonical variables parametrizing the general time-dependent Gaussian density matrix of the system. Yet, the evolution manifests both quantum decoherence and apparent irreversibility of energy flow from the coherent mean fields to fluctuating quantum modes. Using scalar QED as an example, we show how this collisionless damping and decoherence may be understood as the result of dephasing of the rapidly varying fluctuations and particle production in the time varying mean field.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.4660
DOI:
10.1103/PhysRevLett.76.4660
PACS:
03.65.Bz, 03.65.Sq, 03.70.+k, 05.70.Ln