Topological and Information Aspects of Quantum Nanosystems
Serge A. Beznosyuk*
Physical and Colloidal Chemistry Department of Altai State University,
Barnaul, Altai 656099 RUSSIA
This is an abstract
for a presentation given at the
Foresight Conference on Molecular Nanotechnology
There are three main levels of self-processes in the materials design. First of them is the self-formation processes of chemical particles such as atoms, molecules and ideal crystals. Some specific topological cusp-kink boundary conditions provide that the compact chemical particle is governed by well-known set of quantum mechanical postulates and some finite wave-function . Such kind of the chemical particles is revealed as an elementary building block for the next grade of materials design. It is the self-assembling of the nanostructured supra-molecules and nanostructured solids from a set of compact chemical particles: molecules and micro-crystals, respectively. Specific supra-molecular electronic exchange junctions between primary compact chemical particles provide a nanostability of their cluster. Supra-molecular force appears as a result of topological intersection between carriers of two neighboring compact chemical particles in the cluster. Such kind of exchange-correlation forces acts only between topologically pasting elementary building blocks. It is very different from the well-known exchange-correlation covalent, metallic forces acting between atoms within the primary chemical particle. In contrast to the intra-particle force the exchange-correlation inter-particle force in supramolecular cluster or in nanostructured solids vanishes very quickly when bond length exceeds some critical value. It is a typical contact force. Success of nanotechnologies in the field of creation of self-organizing functional devices of an electronics engineering, quantum computers and smart materials is connected to usage while up to the end of the not clear fundamental laws of quantum topology and quantum information of aggregates of quantum particles.
Nanotechnology comes to genesis of quantum functional devices such as superatom of identical atoms (BEC) or quantum computer. Now a problem of precise definitions of the quantum nature of nanotechnological design seems actual one. In this paper we took under consideration some quantum topological and informational aspects of planned construction and governed evolution of nanosystem. We proceed from requirements that a quantum particle is totally defined by a Gilbert space of its unitary evolution states. According to the quantum topological approach there is an organizing hierarchy of quantum particles. A background level is represented by elementary quantum particles such as nuclei and electrons. Formed as a result of multiplication of nuclei and electrons in compact volumes of the laboratory space chemical particles (atoms and molecules) occupy a first level. In its turn the chemical particle is revealed as an elementary building block for the next grade of the quantum multiplication design. This level contains multiplets of chemical particles: superatoms and supermolecules. Any genesis of quantum multiplet requires some topological conditions to provide unitary evolution of compact quantum particles. Relationships of information (quantum, classical) and entropy with definite classes of unitarily inequivalent and nonunitary transformation of multiplets are revealed. Genesis of high-level multiplets increases the quantum information of nanosystem. Degradation of them is accompanied by increasing of quantum-statistical (classical) information and thermo-statistical entropy in arising classical complects of quantum particles. Analyses of these effects are given for multiplets of BEC superatom and quantum computer.
Serge A. Beznosyuk
Physical and Colloidal Chemistry Department of Altai State University
61, Lenin Avenue, Barnaul, Altai 656099 RUSSIA
Phone: +7 3852 363537 Fax: +7 3852 222875