Messanae Universitas Studiorum

Quantum-Classical Dynamics of Wave Fields

Sergi, Alessandro (2006) Quantum-Classical Dynamics of Wave Fields. arXiv:quant-ph/0511229. (Unpublished)

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An approach to the quantum-classical mechanics of
phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields.
Such wave fields obey a system of coupled non-linear equations that can be written by means of a suitable non-Hamiltonian bracket.
As an example, the theory is applied to the relaxation dynamics of the spin-boson model.
In the adiabatic limit, a good agreement with calculations
performed by the operator approach is obtained.
Moreover, the theory proposed in this paper
can take nonadiabatic effects into account
without resorting to surface-hopping approximations.
Hence, the results obtained follow qualitatively those
of previous surface-hopping calculations
and increase by a factor of (at least) two the time length
over which nonadiabatic dynamics can be propagated
with small statistical errors.
Moreover, it is worth to note that the dynamics of
quantum-classical wave fields here proposed is a straightforward non-Hamiltonian generalization of the formalism for non-linear quantum mechanics that Weinberg introduced recently.

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Item Type: Other
Additional Information: Revised version. A numerical study of the adiabatic and nonadiabatic dynamics of the spin-boson model is presented.
Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
Depositing User: Dr Alessandro Sergi
Date Deposited: 13 Feb 2007
Last Modified: 13 Apr 2010 11:17

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