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Article Dans Une Revue Annales Henri Poincaré Année : 2020

Adiabatic transitions in a two-level system coupled to a free Boson reservoir

Résumé

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter ε. Assuming that the system and reservoir are initially decoupled, with the reservoir in equilibrium at temperature T ≥ 0, we compute the transition probability from one eigenstate of the two-level system to the other eigenstate as a function of time, in the regime of small ε and small coupling constant λ. We analyse the deviation from the adiabatic transition probability obtained in absence of the reservoir.
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Dates et versions

hal-02960895 , version 1 (08-10-2020)

Identifiants

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Alain Joye, Marco Merkli, Dominique Spehner. Adiabatic transitions in a two-level system coupled to a free Boson reservoir. Annales Henri Poincaré, 2020, 21, pp.3157-3199. ⟨10.1007/s00023-020-00946-w⟩. ⟨hal-02960895⟩
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