2015/07/31 by Nephtalí Garrido, T. Gorin, Thomas Gorin +1 · 4 citations
Mathematics · Physics and Astronomy · #Biology #Computer science #Dynamics (music) #Genetics #Markov process #Mathematics #Physics #Quantum chaos and dynamical systems #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Transition (genetics) #quant-ph
paper · pdf · doi:10.1103/physreva.93.012113
published in Physical Review A 93(1) (American Physical Society) · In V2 we added a figure and some text discussing the effect of an internal hamiltonian in the qubit. We also did some minor tweeks
openalex publication_date 2016/01/15 · arxiv created 2016/01/29 · arxiv updated 2016/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using random matrices, we study the reduced dynamics of a two-level system interacting with a generic environment. In the weak-coupling limit, the result can be obtained directly from known results for purity decay, and result in Markovian dynamics. We then focus on the case of strong coupling, when the dynamics is known to be non-Markovian. In this regime, the coupling dominates over the local parts of the Hamiltonian, and thus we treat the latter as a perturbation of the former. With the help of a linear response approximation, this allows us to obtain an analytical description of the reduced dynamics. Finally, we find a transition from non-Markovian to Markovian dynamics at a point where the coupling and the local Hamiltonian are comparable in size.