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• W2027554277 abstract "We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature β. The time evolution is discrete and such that over each time step of duration τ, the reference system is coupled to one new element of the chain only, by means of an interaction of strength λ. We consider three asymptotic regimes of the parameters λ and τ for which the effective evolution of observables on the small system becomes continuous over suitable macroscopic time scales T and whose generator can be computed: the weak coupling limit regime λ → 0, τ = 1, the regime τ → 0, λ2τ → 0 and the critical case λ2τ = 1, τ → 0. The first two regimes are perturbative in nature and the effective generators they determine is such that a non-trivial invariant sub-algebra of observables naturally emerges. The third asymptotic regime goes beyond the perturbative regime and provides an effective dynamics governed by a general Lindblad generator naturally constructed from the interaction Hamiltonian. Conversely, this result shows that one can attach to any Lindblad generator a repeated quantum interactions model whose asymptotic effective evolution is generated by this Lindblad operator." @default.
• W2027554277 created "2016-06-24" @default.
• W2027554277 creator A5043579062 @default.
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• W2027554277 date "2007-01-30" @default.
• W2027554277 modified "2023-10-05" @default.
• W2027554277 title "Weak Coupling and Continuous Limits for Repeated Quantum Interactions" @default.
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• W2027554277 doi "https://doi.org/10.1007/s10955-006-9085-z" @default.
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