The so-called Maryland model is a linear version of the quantum kicked rotor; it exhibits Anderson localization in momentum space. By turning the kicks into a Markovian stochastic process, the dynamics becomes a dissipative quantum process described by a discrete family of completely positive maps that allows to explicitly study the relation between divisibility of the maps and the degree of memory of the process.
A non-Markovian dissipative Maryland model / Benatti, Fabio; Carollo, Federico. - In: OPEN SYSTEMS & INFORMATION DYNAMICS. - ISSN 1230-1612. - (2013), pp. 1340001-1340018. [10.1142/S1230161213400015]
A non-Markovian dissipative Maryland model
CAROLLO, FEDERICO
2013
Abstract
The so-called Maryland model is a linear version of the quantum kicked rotor; it exhibits Anderson localization in momentum space. By turning the kicks into a Markovian stochastic process, the dynamics becomes a dissipative quantum process described by a discrete family of completely positive maps that allows to explicitly study the relation between divisibility of the maps and the degree of memory of the process.File allegati a questo prodotto
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