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• W3100237039 endingPage "065306" @default.
• W3100237039 startingPage "065306" @default.
• W3100237039 abstract "A semiclassical approximation for an evolving density operator, driven by a closed hamiltonian operator and open markovian Lindblad operators, is obtained. The theory is based on the chord function, i.e. the Fourier transform of the Wigner function. It reduces to an exact solution of the Lindblad master equation if the hamiltonian operator is a quadratic function and the Lindblad operators are linear functions of positions and momenta. Initially, the semiclassical formulae for the case of hermitian Lindblad operators are reinterpreted in terms of a (real) double phase space, generated by an appropriate classical double Hamiltonian. An extra open term is added to the double Hamiltonian by the non-hermitian part of the Lindblad operators in the general case of dissipative markovian evolution. The particular case of generic hamiltonian operators, but linear dissipative Lindblad operators, is studied in more detail. A Liouville-type equivariance still holds for the corresponding classical evolution in double phase, but the centre subspace, which supports the Wigner function, is compressed, along with expansion of its conjugate subspace, which supports the chord function. Decoherence narrows the relevant region of double phase space to the neighborhood of a caustic for both the Wigner function and the chord function. This difficulty is avoided by a propagator in a mixed representation, so that a further small-chord approximation leads to a simple generalization of the quadratic theory for evolving Wigner functions." @default.
• W3100237039 created "2020-11-23" @default.
• W3100237039 creator A5001458085 @default.
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• W3100237039 date "2009-01-15" @default.
• W3100237039 modified "2023-10-13" @default.
• W3100237039 title "Semiclassical evolution of dissipative Markovian systems" @default.
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• W3100237039 doi "https://doi.org/10.1088/1751-8113/42/6/065306" @default.
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