Stochastic analysis & discrete quantum systems
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114658
Abstract: We explore the connections between the theories of stochastic analysis and discrete quantum mechanical systems. Naturally these connections include the Feynman-Kac formula, and the Cameron-Martin-Girsanov theorem. More precisely, the notion of the quantum canonical transformation… read more here.
Keywords: discrete quantum; analysis discrete; stochastic analysis; systems stochastic ... See more keywords
Unusual scaling in a discrete quantum walk with random long range steps
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.09.072
Abstract: Abstract A discrete time quantum walker is considered in one dimension, where at each step, the translation can be more than one unit length chosen randomly. In the simplest case, the probability that the distance… read more here.
Keywords: quantum walk; discrete quantum; quantum; unusual scaling ... See more keywords
Complete Excitation of Discrete Quantum Systems by Single Free Electrons.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.093401
Abstract: We reveal a wealth of nonlinear and recoil effects in the interaction between individual low-energy electrons (≲100 eV) and samples comprising a discrete number of states. Adopting a quantum theoretical description of combined free-electron and two-level… read more here.
Keywords: excitation; free electrons; discrete quantum; complete excitation ... See more keywords