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Article Dans Une Revue Communications in Mathematical Physics Année : 2022

Adiabatic Lindbladian Evolution with Small Dissipators

Alain Joye

Résumé

We consider a time-dependent small quantum system weakly coupled to an environment, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the dissipator part has small amplitude. We study the properties of the evolved state of the small system as the adiabatic parameter and coupling constant both go to zero, in various asymptotic regimes. In particular, we analyse the deviations of the transition probabilities of the small system between the instantaneous eigenspaces of the Hamiltonian with respect to their values in the purely Hamiltonian adiabatic setup, as a function of both parameters.
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Dates et versions

hal-03503460 , version 1 (27-12-2021)

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Alain Joye. Adiabatic Lindbladian Evolution with Small Dissipators. Communications in Mathematical Physics, 2022, 391, pp.223-267. ⟨10.1007/s00220-021-04306-5⟩. ⟨hal-03503460⟩
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