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Baiofurontia Kouenkai kouen rombunshuu/Baiofurontia Koenkai koen ronbunshu

Simple Model for Electron-DNA Scattering Based on Quantum Theory

Y. Maruyama, Satoyuki KAWANO, Kazuhiro Nakahashi

Published Jan 1, 2003• 0 citations
Publisher
DOI
10.1299/jsmebiofro.2003.14.33

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The quantum-mechanical model proposed earlier by Skourtis and Nitzan (J. of Chem. Phys. 119, (2003) 6271) to describe a charge transfer in a fragment of artificial DNA molecule has been numerically investigated. The current rationale for the model is carried out and values of its parameters are indicated. Within this model, the description of the transport of a hole carrier in DNA is based on solutions to the time-dependent Schrödinger equation including damping effects. The non-unitary dynamics of the hole carrier is treated by us within the framework of a theory of continuous quantum measurements by the environment in an open quantum system. Results of numerical analysis of the model are in a good agreement with experimental observations and demonstrate two different types of the charged carrier motion, presumably tunneling and incoherent hopping. The main concepts of the theory of decoherence and superselection for open quantum systems and the prospects for their application for further study of various mechanisms of motion of a charged carrier in DNA are briefly discussed.
The nitrogenous bases of DNA—purines (adenine, guanine) and pyrimidines (cytosine, thymine)—feature distinct ring structures that introduce non-uniform electronic, spatial, and quantum properties to the DNA double helix. We propose a quantum information model in which the purine–pyrimidine base pairs represent spin nodes in a discrete spin network. The differential π-electron delocalization, hydrogen bonding, and aromaticity inherent in these structures can be mapped onto spin orientations, entanglement states, and quantum correlation tensors in a DNA computing architecture. Embedding these base structures into a quantum spin network formalism allows for modeling of state transfer, entanglement generation, and AI-compatible quantum learning tasks using biological scaffolds. This approach aligns with developments in topological quantum computation and biomolecular quantum information theory.
Abstract Reducing radiation damage is becoming a crucial factor in the development of future electron microscopes. The concept of interaction-free imaging utilizing a Mach–Zehnder interferometer has been proposed originally in. 1993 by Elitzur and Vaidman. Using the quantum Zeno effect the quantum efficiency for interaction-free measurements can be increased to near 100 % with increasing number of interrogations provided the sample is a perfect (thick) absorber. However, for an electron beam the sample is in general semi-transparent depending on the thickness. In electron microscopy the interaction-free experiment is complicated by the presence of elastic and inelastic scattering processes in the electron-sample interaction. The ratio of inelastically versus elastically scattered electrons is determined by the nature of the sample and the thickness and cannot be reduced arbitrarily. Because inelastically scattered electrons transfer energy to the sample and cause radiation damage this puts a limit to the elastically scattered electrons and consequently to the resolution of electron imaging. In this paper, the inelastic scattering is modeled as an “absorption” function on the modulus of the electron wave. Image simulations and Argand plots are used to investigate the convergence rate of the Zeno iterations versus different type of samples, in particular a double strained DNA helical sample. It is found that the stronger objects reach maximum quantum efficiency faster than weaker objects for which more interrogations are needed to reach the maximum quantum efficiency. For a general hybrid amplitude/phase object the “phase” information tends to converge to zero as the number of interrogation increases.