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RESEARCH PRODUCT

Non-Markovian dynamics from band edge effects and static disorder

G. Massimo PalmaG. Massimo PalmaFrancesco CiccarelloFrancesco CiccarelloSalvatore Lorenzo

subject

Physics and Astronomy (miscellaneous)Anderson localizactionMarkov processNon-MarkovianityFOS: Physical sciencesEdge (geometry)01 natural sciencesMeasure (mathematics)Static disorderCondensed Matter::Disordered Systems and Neural NetworksSettore FIS/03 - Fisica Della Materia010305 fluids & plasmassymbols.namesakeNormal modeQuantum mechanicsAtom (measure theory)0103 physical sciencesband edge mode010306 general physicsband edge modesPhysicsQuantum PhysicsDynamics (mechanics)disordersymbolsQuantum Physics (quant-ph)Anderson localizaction; band edge modes; disorder; Non-Markovianity; Physics and Astronomy (miscellaneous)

description

It was recently shown [S. Lorenzo et al., Sci. Rep. 7, 42729 (2017)] that the presence of static disorder in a bosonic bath - whose normal modes thus become all Anderson-localised - leads to non-Markovianity in the emission of an atom weakly coupled to it (a process which in absence of disorder is fully Markovian). Here, we extend the above analysis beyond the weak-coupling regime for a finite-band bath so as to account for band edge effects. We study the interplay of these with static disorder in the emergence of non-Markovian behaviour in terms of a suitable non-Markovianity measure.

10.1142/s0219749917400263http://arxiv.org/abs/1712.06670